Complex-Valued Multivariate Neural Network (MNN) Approximation by Parameterized Half-Hyperbolic Tangent Function

This paper deals with a family of normalized multivariate neural network (MNN) operators of complex-valued continuous functions for a multivariate context on a box of RN¯, N¯∈N. Moreover, we consider the case of approximation employing iterated MNN operators. In addition, pointwise and uniform conve...

Celý popis

Uloženo v:

Podrobná bibliografie
Vydáno v:	Mathematics (Basel) Ročník 13; číslo 3; s. 453
Hlavní autor:	Karateke, Seda
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Basel MDPI AG 01.02.2025
Témata:	Algorithms Approximation Artificial intelligence Banach spaces Continuity (mathematics) Datasets Fuzzy sets Hyperbolic functions iterated approximation multi-layer approximation Multivariate analysis multivariate density function multivariate modulus of continuity multivariate trigonometric and hyperbolic neural network approximation Neural networks Neurons Operators (mathematics) parameterized half-hyperbolic tangent function New York United States
ISSN:	2227-7390, 2227-7390
On-line přístup:	Získat plný text
Tagy:	Přidat tag Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!

Abstract	This paper deals with a family of normalized multivariate neural network (MNN) operators of complex-valued continuous functions for a multivariate context on a box of RN¯, N¯∈N. Moreover, we consider the case of approximation employing iterated MNN operators. In addition, pointwise and uniform convergence results are obtained in Banach spaces thanks to the multivariate versions of trigonometric and hyperbolic-type Taylor formulae on the corresponding feed-forward neural networks (FNNs) based on one or more hidden layers.
AbstractList	This paper deals with a family of normalized multivariate neural network (MNN) operators of complex-valued continuous functions for a multivariate context on a box of R N¯ , N¯∈ N . Moreover, we consider the case of approximation employing iterated MNN operators. In addition, pointwise and uniform convergence results are obtained in Banach spaces thanks to the multivariate versions of trigonometric and hyperbolic-type Taylor formulae on the corresponding feed-forward neural networks (FNNs) based on one or more hidden layers. This paper deals with a family of normalized multivariate neural network (MNN) operators of complex-valued continuous functions for a multivariate context on a box of RN¯, N¯∈N. Moreover, we consider the case of approximation employing iterated MNN operators. In addition, pointwise and uniform convergence results are obtained in Banach spaces thanks to the multivariate versions of trigonometric and hyperbolic-type Taylor formulae on the corresponding feed-forward neural networks (FNNs) based on one or more hidden layers. This paper deals with a family of normalized multivariate neural network (MNN) operators of complex-valued continuous functions for a multivariate context on a box of R[sup.N¯], N¯∈N. Moreover, we consider the case of approximation employing iterated MNN operators. In addition, pointwise and uniform convergence results are obtained in Banach spaces thanks to the multivariate versions of trigonometric and hyperbolic-type Taylor formulae on the corresponding feed-forward neural networks (FNNs) based on one or more hidden layers.
Audience	Academic
Author	Karateke, Seda
Author_xml	– sequence: 1 givenname: Seda orcidid: 0000-0003-1219-0115 surname: Karateke fullname: Karateke, Seda
BookMark	eNpNkUFv1DAQhS1UJErpjR8QiQtIpI1jx_EcV6uWrdRueyhco4kzXrxk4-A40OXX42VRVfsw1tjvm2e9t-xk8AMx9p4XF0JAcbnD-J2LQhSyEq_YaVmWdV6ni5MX5zfsfJq2RVrAhZZwysal3409PeXfsJ-py-7mPrpfGBxGytY0B-xTib99-JF9vFuvP2WLcQz-yaVxzg9Zu88eMOCOIgX3JwFW2Nt8tR8ptL53JnvEYUNDzK7nwRwU79hri_1E5__rGft6ffW4XOW3919ulovb3AglYm6tQlsTgi6F0oawkghVR1oBQc3rQtRQGNuB6qDitq1AKTBGS8trowyIM3Zz5HYet80YkuGwbzy65l_Dh02DITrTU4OdIDAdckWlrKAFa7VsW5IoJQiQifXhyEo__znTFJutn8OQ7DeCq0qLslaHiRfHVxtMUDdYHwOatDvaOZPCsi71F7oErZSqVBJ8PgpM8NMUyD7b5EVzyLR5man4C6Ozlsw
Cites_doi	10.1016/j.neunet.2013.07.009 10.1090/surv/263 10.1007/978-1-4614-6393-1 10.1109/72.392253 10.1016/j.neunet.2011.01.003 10.1017/S0962492900002919 10.3390/electronics13224378 10.33401/fujma.1423906 10.1007/s41980-023-00815-2 10.1016/j.eswa.2024.126119 10.1007/978-3-031-43021-3_20 10.3390/jrfm17020069 10.1007/BF02551274 10.1006/jmaa.1997.5494 10.1007/BF02478259 10.1007/s13226-024-00587-3 10.1515/dema-2024-0003 10.1016/0893-6080(89)90003-8 10.7153/mia-2022-25-69 10.1016/0893-6080(89)90020-8 10.1016/j.neunet.2013.03.015 10.26637/mjm11S/001 10.1007/978-3-319-20505-2 10.1016/0021-9045(92)90081-X 10.3934/math.2024217 10.1007/978-3-319-66936-6 10.1016/j.eswa.2022.117771 10.3390/sym16121568 10.1016/0022-247X(91)90267-4 10.1007/s40314-024-02946-6 10.1016/j.jksus.2024.103333 10.1016/j.camwa.2003.06.008 10.1016/j.neunet.2015.02.002 10.1142/13857 10.1016/j.aej.2024.07.015
ContentType	Journal Article
Copyright	COPYRIGHT 2025 MDPI AG 2025 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml	– notice: COPYRIGHT 2025 MDPI AG – notice: 2025 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID	AAYXX CITATION 3V. 7SC 7TB 7XB 8AL 8FD 8FE 8FG 8FK ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BGLVJ CCPQU DWQXO FR3 GNUQQ HCIFZ JQ2 K7- KR7 L6V L7M L~C L~D M0N M7S P62 PHGZM PHGZT PIMPY PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS Q9U DOA
DOI	10.3390/math13030453
DatabaseName	CrossRef ProQuest Central (Corporate) Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts ProQuest Central (purchase pre-March 2016) Computing Database (Alumni Edition) Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Computer Science Collection ProQuest Central Essentials - QC ProQuest Central ProQuest Technology Collection ProQuest One ProQuest Central Korea Engineering Research Database ProQuest Central Student SciTech Premium Collection ProQuest Computer Science Collection Computer Science Database Civil Engineering Abstracts ProQuest Engineering Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional Computing Database Engineering Database ProQuest Advanced Technologies & Aerospace Collection Proquest Central Premium ProQuest One Academic (New) Publicly Available Content Database ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection ProQuest Central Basic DOAJ Directory of Open Access Journals
DatabaseTitle	CrossRef Publicly Available Content Database Computer Science Database ProQuest Central Student Technology Collection Technology Research Database Computer and Information Systems Abstracts – Academic ProQuest One Academic Middle East (New) Mechanical & Transportation Engineering Abstracts ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection Computer and Information Systems Abstracts ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest Central Korea ProQuest Central (New) Advanced Technologies Database with Aerospace Engineering Collection Advanced Technologies & Aerospace Collection Civil Engineering Abstracts ProQuest Computing Engineering Database ProQuest Central Basic ProQuest Computing (Alumni Edition) ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest SciTech Collection Computer and Information Systems Abstracts Professional ProQuest One Academic UKI Edition Materials Science & Engineering Collection Engineering Research Database ProQuest One Academic ProQuest One Academic (New) ProQuest Central (Alumni)
DatabaseTitleList	Publicly Available Content Database CrossRef
Database_xml	– sequence: 1 dbid: DOA name: DOAJ Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website – sequence: 2 dbid: PIMPY name: Publicly Available Content Database url: http://search.proquest.com/publiccontent sourceTypes: Aggregation Database
DeliveryMethod	fulltext_linktorsrc
Discipline	Mathematics
EISSN	2227-7390
ExternalDocumentID	oai_doaj_org_article_ad3e9cda16e2459b9ff84bbe4a449394 A829866656 10_3390_math13030453
GeographicLocations	New York United States
GeographicLocations_xml	– name: New York – name: United States
GroupedDBID	-~X 5VS 85S 8FE 8FG AADQD AAFWJ AAYXX ABDBF ABJCF ABPPZ ABUWG ACIPV ACIWK ADBBV AFFHD AFKRA AFPKN AFZYC ALMA_UNASSIGNED_HOLDINGS AMVHM ARAPS AZQEC BCNDV BENPR BGLVJ BPHCQ CCPQU CITATION DWQXO GNUQQ GROUPED_DOAJ HCIFZ IAO ITC K6V K7- KQ8 L6V M7S MODMG M~E OK1 PHGZM PHGZT PIMPY PQGLB PQQKQ PROAC PTHSS RNS 3V. 7SC 7TB 7XB 8AL 8FD 8FK FR3 JQ2 KR7 L7M L~C L~D M0N P62 PKEHL PQEST PQUKI PRINS Q9U
ID	FETCH-LOGICAL-c363t-ff6af7ea982368cea54a95de869e971703790cfd96d951fb59669cc84f17c6c93
IEDL.DBID	DOA
ISICitedReferencesCount	1
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001418594300001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN	2227-7390
IngestDate	Tue Oct 14 15:08:22 EDT 2025 Fri Jul 25 11:53:03 EDT 2025 Tue Nov 04 18:13:40 EST 2025 Sat Nov 29 07:15:53 EST 2025
IsDoiOpenAccess	true
IsOpenAccess	true
IsPeerReviewed	true
IsScholarly	true
Issue	3
Language	English
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c363t-ff6af7ea982368cea54a95de869e971703790cfd96d951fb59669cc84f17c6c93
Notes	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ORCID	0000-0003-1219-0115
OpenAccessLink	https://doaj.org/article/ad3e9cda16e2459b9ff84bbe4a449394
PQID	3165832769
PQPubID	2032364
ParticipantIDs	doaj_primary_oai_doaj_org_article_ad3e9cda16e2459b9ff84bbe4a449394 proquest_journals_3165832769 gale_infotracacademiconefile_A829866656 crossref_primary_10_3390_math13030453
PublicationCentury	2000
PublicationDate	2025-02-01
PublicationDateYYYYMMDD	2025-02-01
PublicationDate_xml	– month: 02 year: 2025 text: 2025-02-01 day: 01
PublicationDecade	2020
PublicationPlace	Basel
PublicationPlace_xml	– name: Basel
PublicationTitle	Mathematics (Basel)
PublicationYear	2025
Publisher	MDPI AG
Publisher_xml	– name: MDPI AG
References	Kolmogorov (ref_12) 1963; 2 Costarelli (ref_29) 2024; 7 Rao (ref_5) 2024; 43 Anastassiou (ref_32) 2011; 61 Kadak (ref_28) 2022; 206 Anastassiou (ref_34) 2011; 24 Cybenko (ref_14) 1989; 2 ref_36 Zaman (ref_7) 2024; 9 ref_13 ref_35 Anastassiou (ref_45) 2023; 11 ref_10 ref_31 Karateke (ref_38) 2024; 7 ref_30 Ali (ref_46) 2022; 25 Hornik (ref_11) 1989; 2 Chui (ref_17) 1992; 70 Chen (ref_16) 1995; 6 ref_39 ref_37 Zaman (ref_4) 2024; 57 Anastassiou (ref_33) 1997; 212 Mursaleen (ref_2) 2023; 49 Hahm (ref_18) 2004; 47 Funahashi (ref_15) 1989; 2 ref_25 Costarelli (ref_19) 2013; 44 ref_24 ref_22 Baxhaku (ref_27) 2025; 269 ref_44 ref_42 ref_41 Costarelli (ref_20) 2013; 48 Costarelli (ref_21) 2015; 67 ref_1 Arai (ref_43) 1991; 158 Alamer (ref_6) 2024; 36 ref_26 ref_9 ref_8 McCulloch (ref_40) 1943; 7 Cai (ref_3) 2024; 107 Pinkus (ref_23) 1999; 8
References_xml	– volume: 7 start-page: 45 year: 2024 ident: ref_29 article-title: A comparison among a fuzzy algorithm for image rescaling with other methods of digital image processing publication-title: Constr. Math. Anal. – volume: 48 start-page: 72 year: 2013 ident: ref_20 article-title: Multivariate neural network operators with sigmoidal activation functions publication-title: Neural Netw. doi: 10.1016/j.neunet.2013.07.009 – ident: ref_30 – ident: ref_24 doi: 10.1090/surv/263 – ident: ref_35 doi: 10.1007/978-1-4614-6393-1 – volume: 6 start-page: 911 year: 1995 ident: ref_16 article-title: Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systems publication-title: IEEE Trans. Neural Netw. doi: 10.1109/72.392253 – volume: 61 start-page: 809 year: 2011 ident: ref_32 article-title: Multivariate hyperbolic tangent neural network approximation publication-title: Comput. Math. – volume: 24 start-page: 378 year: 2011 ident: ref_34 article-title: Multivariate sigmoidal neural network approximation publication-title: Neural Netw. doi: 10.1016/j.neunet.2011.01.003 – ident: ref_26 – volume: 2 start-page: 55 year: 1963 ident: ref_12 article-title: On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition publication-title: Transl. Am. Math. Soc. – volume: 8 start-page: 143 year: 1999 ident: ref_23 article-title: Approximation theory of the MLP model in neural networks publication-title: Acta Numer. doi: 10.1017/S0962492900002919 – ident: ref_8 doi: 10.3390/electronics13224378 – volume: 7 start-page: 35 year: 2024 ident: ref_38 article-title: On an (ι,x0)-Generalized Logistic-Type Function publication-title: Fundam. J. Math. Appl. doi: 10.33401/fujma.1423906 – ident: ref_39 – volume: 49 start-page: 68 year: 2023 ident: ref_2 article-title: Bézier Type Kantorovich q-Baskakov Operators via Wavelets and Some Approximation Properties publication-title: Bull. Iran. Math. Soc. doi: 10.1007/s41980-023-00815-2 – volume: 269 start-page: 126119 year: 2025 ident: ref_27 article-title: Multivariate neural network operators activated by smooth ramp functions publication-title: Expert Syst. Appl. doi: 10.1016/j.eswa.2024.126119 – ident: ref_22 doi: 10.1007/978-3-031-43021-3_20 – ident: ref_9 doi: 10.3390/jrfm17020069 – volume: 2 start-page: 303 year: 1989 ident: ref_14 article-title: Approximation by superpositions of a sigmoidal function publication-title: Math. Control. Signals Syst. doi: 10.1007/BF02551274 – volume: 212 start-page: 237 year: 1997 ident: ref_33 article-title: Rate of convergence of some neural network operators to the unit-univariate case publication-title: J. Math. Anal. Appl. doi: 10.1006/jmaa.1997.5494 – volume: 7 start-page: 115 year: 1943 ident: ref_40 article-title: A logical calculus of the ideas immanent in nervous activity publication-title: Bull. Math. Biophys. doi: 10.1007/BF02478259 – ident: ref_1 doi: 10.1007/s13226-024-00587-3 – ident: ref_25 – volume: 57 start-page: 20240003 year: 2024 ident: ref_4 article-title: Invariant means and lacunary sequence spaces of order (α,β) publication-title: Demonstr. Math. doi: 10.1515/dema-2024-0003 – ident: ref_31 – volume: 2 start-page: 183 year: 1989 ident: ref_15 article-title: On the approximate realization of continuous mappings by neural networks publication-title: Neural Netw. doi: 10.1016/0893-6080(89)90003-8 – volume: 25 start-page: 1123 year: 2022 ident: ref_46 article-title: Taylor-type expansions in terms of exponential polynomials publication-title: Math. Inequalities Appl. doi: 10.7153/mia-2022-25-69 – volume: 2 start-page: 359 year: 1989 ident: ref_11 article-title: Multilayer feedforward networks are universal approximators publication-title: Neural Netw. doi: 10.1016/0893-6080(89)90020-8 – volume: 44 start-page: 101 year: 2013 ident: ref_19 article-title: Approximation results for neural network operators activated by sigmoidal functions publication-title: Neural Netw. doi: 10.1016/j.neunet.2013.03.015 – ident: ref_10 – volume: 11 start-page: 1 year: 2023 ident: ref_45 article-title: Opial and Ostrowski Type Inequalities Based on Trigonometric and Hyperbolic Type Taylor Formulae publication-title: Malaya J. Mat. doi: 10.26637/mjm11S/001 – ident: ref_36 doi: 10.1007/978-3-319-20505-2 – volume: 70 start-page: 131 year: 1992 ident: ref_17 article-title: Approximation by ridge functions and neural networks with one hidden layer publication-title: J. Approx. Theory doi: 10.1016/0021-9045(92)90081-X – ident: ref_41 – volume: 9 start-page: 4409 year: 2024 ident: ref_7 article-title: Approximation by the modified λ-Bernstein-polynomial in terms of basis function publication-title: AIMS Math. doi: 10.3934/math.2024217 – ident: ref_13 – ident: ref_37 doi: 10.1007/978-3-319-66936-6 – volume: 206 start-page: 117771 year: 2022 ident: ref_28 article-title: Multivariate fuzzy neural network interpolation operators and applications to image processing publication-title: Expert Syst. Appl. doi: 10.1016/j.eswa.2022.117771 – ident: ref_42 doi: 10.3390/sym16121568 – volume: 158 start-page: 63 year: 1991 ident: ref_43 article-title: Exactly solvable supersymmetric quantum mechanics publication-title: J. Math. Anal. Appl. doi: 10.1016/0022-247X(91)90267-4 – volume: 43 start-page: 428 year: 2024 ident: ref_5 article-title: A note on a general sequence of λ-Szász Kantorovich type operators publication-title: Comput. Appl. Math. doi: 10.1007/s40314-024-02946-6 – volume: 36 start-page: 103333 year: 2024 ident: ref_6 article-title: Approximation by Stancu variant of λ-Bernstein shifted knots operators associated by Bézier basis function publication-title: J. King Saud Univ. Sci. doi: 10.1016/j.jksus.2024.103333 – volume: 47 start-page: 1897 year: 2004 ident: ref_18 article-title: An approximation by neural networks with a fixed weight publication-title: Comput. Math. Appl. doi: 10.1016/j.camwa.2003.06.008 – volume: 67 start-page: 28 year: 2015 ident: ref_21 article-title: Neural network operators: Constructive interpolation of multivariate functions publication-title: Neural Netw. doi: 10.1016/j.neunet.2015.02.002 – ident: ref_44 doi: 10.1142/13857 – volume: 107 start-page: 205 year: 2024 ident: ref_3 article-title: Approximation by a new Stancu variant of generalized (λ,μ)-Bernstein operators publication-title: Alex. Eng. J. doi: 10.1016/j.aej.2024.07.015
SSID	ssj0000913849
Score	2.2884817
Snippet	This paper deals with a family of normalized multivariate neural network (MNN) operators of complex-valued continuous functions for a multivariate context on a...
SourceID	doaj proquest gale crossref
SourceType	Open Website Aggregation Database Index Database
StartPage	453
SubjectTerms	Algorithms Approximation Artificial intelligence Banach spaces Continuity (mathematics) Datasets Fuzzy sets Hyperbolic functions iterated approximation multi-layer approximation Multivariate analysis multivariate density function multivariate modulus of continuity multivariate trigonometric and hyperbolic neural network approximation Neural networks Neurons Operators (mathematics) parameterized half-hyperbolic tangent function
SummonAdditionalLinks	– databaseName: ProQuest Central dbid: BENPR link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LbxMxELag5QAH3ohAQT6AgIPVZP1Y-4RS1CiXriJUUG-rWT-gUpSETVq1_fXM7DoBDnDhuru2LH32zHzemW8YeyPLYdJGSgEqlEIlSML5IgirYyzKQhrQvms2UVaVPTtzs3zhts5plVub2BnqsPR0R34oR-grZVEa93H1Q1DXKPq7mlto3Gb7pFSG-3z_6Liafd7dspDqpVWuz3iXyO8PMQ78TnYbQxn5hy_qJPv_Zpg7bzN58L_rfMju5ziTj_uN8YjdiovH7N7JTqR1_YStyBbM45X4CvOLGHhXi3uJ3BnDT06iHTi-6rPE-fuTqvrAxyRAfnXeVzvy5prPgHK7SO75BieYwjyJKRLbtiG1YX4KXeEWn6DvpBFP2ZfJ8emnqcgNGISXRm5ESgZSGcFRV3TrI2gFTodojYsOeeBQlm7oU3AmYKCWGo3cyXlvVRqV3ngnn7G9xXIRnzOuvLShAAMBKaUPsWl0NGWhQ0CTkDwM2NstFPWq19mokZ8QZPXvkA3YEeG0-4bUsbsHy_ZbnQ9bDUFG5wOMTCyUdo1LyaqmiQqUctKpAXtHKNd0hjcteMilCLhUUsOqx7ZwFnmdNgN2sEW5zod7Xf-C-MW_X79kdwtqF9wleR-wvU17EV-xO_5yc75uX-e9-hOtfvaV priority: 102 providerName: ProQuest
Title	Complex-Valued Multivariate Neural Network (MNN) Approximation by Parameterized Half-Hyperbolic Tangent Function
URI	https://www.proquest.com/docview/3165832769 https://doaj.org/article/ad3e9cda16e2459b9ff84bbe4a449394
Volume	13
WOSCitedRecordID	wos001418594300001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText	1
inHoldings	1
isFullTextHit
isPrint
journalDatabaseRights	– providerCode: PRVAON databaseName: DOAJ Directory of Open Access Journals customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: DOA dateStart: 20130101 isFulltext: true titleUrlDefault: https://www.doaj.org/ providerName: Directory of Open Access Journals – providerCode: PRVHPJ databaseName: ROAD: Directory of Open Access Scholarly Resources customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: M~E dateStart: 20130101 isFulltext: true titleUrlDefault: https://road.issn.org providerName: ISSN International Centre – providerCode: PRVPQU databaseName: Computer Science Database customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: K7- dateStart: 20130301 isFulltext: true titleUrlDefault: http://search.proquest.com/compscijour providerName: ProQuest – providerCode: PRVPQU databaseName: Engineering Database customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: M7S dateStart: 20130301 isFulltext: true titleUrlDefault: http://search.proquest.com providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: BENPR dateStart: 20130301 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: Publicly Available Content Database customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: PIMPY dateStart: 20130301 isFulltext: true titleUrlDefault: http://search.proquest.com/publiccontent providerName: ProQuest
link	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LbxMxELZQ4QAHxFME2sgHEHCwmvg9x7RKFISyWkFB5bTy-qFWikKVpFXhwG9n7N1W4YC4cPFh115ZMzuPT5r5hpDXwoyS0kIwJ4NhMrnEwPPArIqRGy60U74MmzBVZU9Pod4Z9ZVrwjp64E5why6ICD64sY5cKmghJSvbNkonJQgoTKAjAztgqvhgGAsroat0F4jrDzH_O8v-GlMY8UcMKlT9f3PIJcrMHpGHfXpIJ921HpM7cfWEPFjccqtunpKLbMLLeM2-uuVlDLS00F4h5MWskWauDTxfdcXd9N2iqt7TSeYNvz7vmhRp-4PWLpdkZZbmn_iBuVsmNkc8um4zSTA9caXfis4w5OUTz8iX2fTkeM76uQnMCy22LCXtkokO8jBz66NT0oEK0WqIgPBtJAyMfAqgA-ZXqVUIecB7K9PYeO1BPCd7q--r-IJQ6YUN3GkXEAn6ENtWRW24CgEtOXk3IG9uJNlcdPQYDcKKLPFmV-IDcpTFfLsnk1qXB6jqpld18y9VD8jbrKQmm9527bzrOwjwqpnEqplYDhbhmNIDsn-jx6a3yU0jxphtCW40vPwft3lF7vM8C7hUcO-Tve36Mh6Qe_5qe75ZD8ndo2lVfxqW3xLXj4YNc13p57z-muL7-sOi_vYbd9fuVw
linkProvider	Directory of Open Access Journals
linkToHtml	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9NAEF5VKRJw4I0IFNgDFXBY1dmXdw8IhUeUqI2VQ0Dl5K73QStFSeqkpeVH8RvZ8SPAAW49cLW9lu399puZ9cw3CL1gaRKEZIwY7lLCgwlEW-qIEt7TlDJphK2aTaRZpg4P9WQL_WhrYSCtsuXEiqjdwsIe-R7rRVvJaCr12-Upga5R8He1baFRw2LfX36LIdvqzehDnN9dSgcfp--HpOkqQCyTbE1CkCak3mho9a2sN4IbLZxXUnsdg5uEpTqxwWnpovcRChEDAm2t4qGXWmlBfClS_jaPYE86aHsyGk--bHZ1QGVTcV1n2DOmk73odx6DnYiuE_vD9lUtAv5mCCrrNrj9v32XO-hW40fjfg38u2jLz--hm-ONCO3qPloC1838BflsZmfe4arW-NzEFbf2GERJ4viszoLHr8ZZ9hr3QWD94qSu5sTFJZ4YyF0DOevv8QZDMwtkGAP3sgA1ZTw1VWEaHkTfAEY8QJ-u5JUfos58MfePEOaWKUeNNC6GzNb5ohBeplQ4FykvWNNFu-3U58taRySP8RdAJP8dIl30DnCxuQbUv6sDi_Jr3pBJbhzz2jrTk55yoQsdguJF4bnhXDPNu-gloCoHjlqXxpqm1CI-Kqh95X1FtYpxq5BdtNOiKm_Ia5X_gtTjf59-jq4Pp-OD_GCU7T9BNyi0Rq4S2ndQZ12e-afomj1fn6zKZ806wejoqiH4E9dOVDs
linkToPdf	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1LbxMxELaqFCE48EYECvhABRysJLbXax8QSmmjVKWrCBXU29brB1SKkrBJS8tP49cxs48AB7j1wHVfyuPzN_N5Z74h5IVI-zFRQjArfcpktJEZxz3TSQg85ULZxFXDJtIs08fHZrJBfrS9MFhW2XJiRdR-7nCPvCcGECsFT5XpxaYsYrI7erv4ynCCFL5pbcdp1BA5CJffQL4t3-zvwn-9zflo7-jdmDUTBpgTSqxYjMrGNFiDY7-1CzaR1iQ-aGWCAaHTF6npu-iN8pCJxCIBcWCc0zIOUqccGjEB_W-mAkRPh2zu7GWTD-sdHnTc1NLU1fZCmH4PctAvGDMgjRJ_xMFqXMDfgkIV6Ua3_-ff6A651eTXdFgviLtkI8zukZuHa3Pa5X2yQA6chgv2yU7PgqdVD_K5hZW4ChTNSuD-rK6Op68Os-w1HaLx-sVp3eVJi0s6sVjThjbX3-EBYzuNbAyCvizQZZke2aphjY4gZ8A7HpCPV_KVH5LObD4LjwiVTmjPrbIepLTzoSiSoFKeeA9UGJ3tku0WBvmi9hfJQZchXPLf4dIlO4iR9TXoCl4dmJef84ZkcutFMM7bgQpcJqYwMWpZFEFaKY0wskteIsJy5K5VaZ1tWjDgo6ILWD7U3GjQs4nqkq0WYXlDasv8F7we__v0c3IdcJe_388OnpAbHCcmV3XuW6SzKs_CU3LNna9Ol-WzZslQcnLVCPwJaGJc1Q
openUrl	ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Complex-Valued+Multivariate+Neural+Network+%28MNN%29+Approximation+by+Parameterized+Half-Hyperbolic+Tangent+Function&rft.jtitle=Mathematics+%28Basel%29&rft.au=Karateke%2C+Seda&rft.date=2025-02-01&rft.issn=2227-7390&rft.eissn=2227-7390&rft.volume=13&rft.issue=3&rft.spage=453&rft_id=info:doi/10.3390%2Fmath13030453&rft.externalDBID=n%2Fa&rft.externalDocID=10_3390_math13030453
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2227-7390&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2227-7390&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2227-7390&client=summon