A proof of Chen-Males̆ević’s conjecture

In this paper, we obtain a new inequality between the inverse hyperbolic tangent and inverse sine functions, which is a conjecture of Chen-Males̆ević [(Chen in Rev Real Acad Cienc. Exactas Fis. Nat. Ser. A-Mat 114:105, 2020) conjecture 2.1]spsCM.

Uloženo v:
Podrobná bibliografie
Vydáno v:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Ročník 118; číslo 3
Hlavní autoři: Wang, Fen, Xiao, Hai-Yan
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 01.07.2024
Témata:
Applications of Mathematics
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Original Paper
Theoretical
Generalized trigonometric functions
Inverse sine function
Inverse hyperbolic tangent function
26D15
26D05
ISSN:1578-7303, 1579-1505
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Abstract In this paper, we obtain a new inequality between the inverse hyperbolic tangent and inverse sine functions, which is a conjecture of Chen-Males̆ević [(Chen in Rev Real Acad Cienc. Exactas Fis. Nat. Ser. A-Mat 114:105, 2020) conjecture 2.1]spsCM.
AbstractList In this paper, we obtain a new inequality between the inverse hyperbolic tangent and inverse sine functions, which is a conjecture of Chen-Males̆ević [(Chen in Rev Real Acad Cienc. Exactas Fis. Nat. Ser. A-Mat 114:105, 2020) conjecture 2.1]spsCM.
ArticleNumber 137
Author Wang, Fen
Xiao, Hai-Yan
Author_xml – sequence: 1
  givenname: Fen
  orcidid: 0000-0002-5746-9737
  surname: Wang
  fullname: Wang, Fen
  email: wangfen1@hue.edu.cn
  organization: Hubei University of Education, School of Mathematics and Statistics
– sequence: 2
  givenname: Hai-Yan
  surname: Xiao
  fullname: Xiao, Hai-Yan
  organization: Hubei University of Education, School of Mathematics and Statistics
BookMark eNp9jz1OAzEQRi0UJELIBajSI8PYXq93yyjiTwqigdpyvGPYVbAje4NERwVn4D6UnIKTYBIqisyM9E3zZvQOycAHj4QcMzhlAOosMSHqigIvKLBSKCr3yJBJVVMmQQ42e0WVAHFAxil1kEuwogI1JCfTySqG4CZ5Zo_o6Y1ZYvp6w-f28_379SNNbPAd2n4d8YjsO7NMOP7LEbm_OL-bXdH57eX1bDqnlkMpqeMAyHjhGBe5GUrGgTO3wMaq0jS2URJNxXBRWCdMbUtTF41QpqoLVworRoRv79oYUoro9Cq2Tya-aAb611hvjXU21htjLTNU_YNs25u-Db6Ppl3uRsUWTfmPf8Cou7COPivuon4ABdRtWg
CitedBy_id crossref_primary_10_2298_AADM250113010Y
Cites_doi 10.1186/s13660-020-02396-8
10.1016/j.camwa.2010.06.007
10.3390/math10162972
10.3934/math.2024425
10.1007/s13398-022-01375-6
10.28924/APJM/8-13
10.1007/s13398-020-00836-0
10.1007/s13398-019-00735-z
ContentType Journal Article
Copyright The Author(s) under exclusive licence to The Royal Academy of Sciences, Madrid 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
Copyright_xml – notice: The Author(s) under exclusive licence to The Royal Academy of Sciences, Madrid 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
DBID AAYXX
CITATION
DOI 10.1007/s13398-024-01637-5
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Sciences (General)
Mathematics
EISSN 1579-1505
ExternalDocumentID 10_1007_s13398_024_01637_5
GrantInformation_xml – fundername: Hubei Provincial Department of Eduction
  grantid: No.Q20233003
– fundername: Hubei Provincial Department of Education
  grantid: No. B2022207
  funderid: http://dx.doi.org/10.13039/100012554
GroupedDBID -EM
06D
0R~
0VY
203
2JN
2KG
2LR
2WC
30V
4.4
406
408
8FE
8FG
96X
AAAVM
AABHQ
AACDK
AAHNG
AAIAL
AAJBT
AAJKR
AANZL
AARTL
AASML
AATNV
AAYIU
AAYQN
AAYZH
AAZMS
ABAKF
ABDZT
ABECU
ABFTV
ABJCF
ABJOX
ABKCH
ABMQK
ABQBU
ABSXP
ABTEG
ABTHY
ABTKH
ABTMW
ABULA
ABXPI
ACAOD
ACDTI
ACGFS
ACHSB
ACHXU
ACIWK
ACKNC
ACMDZ
ACMLO
ACOKC
ACPIV
ACZOJ
ADHHG
ADHIR
ADKPE
ADTPH
ADURQ
ADYFF
ADZKW
AEBTG
AEFQL
AEGNC
AEJHL
AEJRE
AEMSY
AEOHA
AEPYU
AESKC
AETCA
AEVLU
AEXYK
AFKRA
AFLOW
AFWTZ
AFZKB
AGDGC
AGJBK
AGMZJ
AGQEE
AGQMX
AGRTI
AGWZB
AGYKE
AHAVH
AHSBF
AHYZX
AIAKS
AIGIU
AIIXL
AILAN
AITGF
AJBLW
AJRNO
AJZVZ
ALMA_UNASSIGNED_HOLDINGS
AMKLP
AMXSW
AMYQR
ANMIH
AOCGG
ASPBG
AVWKF
AXYYD
AYJHY
AZFZN
BAPOH
BENPR
BGLVJ
BGNMA
CAG
CCPQU
COF
CSCUP
DDRTE
DNIVK
DPUIP
EBLON
EBS
EIOEI
EJD
ESBYG
FERAY
FIGPU
FINBP
FNLPD
FRRFC
FSGXE
GGRSB
GJIRD
GNWQR
GQ6
H13
HCIFZ
HF~
HRMNR
HZ~
IKXTQ
IWAJR
IXD
J-C
JBSCW
JZLTJ
KOV
L6V
LLZTM
LO0
M4Y
M7S
NB0
NPVJJ
NQJWS
NU0
O9-
O93
O9J
OK1
P9R
PT4
PTHSS
R9I
RIG
ROL
RSV
S1Z
S27
S3B
SHX
SISQX
SJYHP
SMT
SNE
SNPRN
SNX
SOHCF
SOJ
SPISZ
SRMVM
SSLCW
STPWE
T13
TSG
U2A
UG4
UOJIU
UTJUX
UZXMN
VC2
VFIZW
W48
WK8
ZMTXR
~A9
AAPKM
AAYXX
ABBRH
ABDBE
ABRTQ
AFDZB
AFFHD
AHPBZ
ATHPR
AYFIA
AZQEC
CITATION
DWQXO
GNUQQ
M2P
PHGZM
PHGZT
PQGLB
ID FETCH-LOGICAL-c2065-f200e124f1232321e512021fbedc76adcd75ea81eb4cf3a9c6a94d37a894f63c3
IEDL.DBID RSV
ISSN 1578-7303
IngestDate Tue Nov 18 22:23:28 EST 2025
Sat Nov 29 06:36:16 EST 2025
Fri Feb 21 02:39:21 EST 2025
IsPeerReviewed true
IsScholarly true
Issue 3
Keywords Generalized trigonometric functions
Inverse sine function
Inverse hyperbolic tangent function
26D15
26D05
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c2065-f200e124f1232321e512021fbedc76adcd75ea81eb4cf3a9c6a94d37a894f63c3
ORCID 0000-0002-5746-9737
ParticipantIDs crossref_primary_10_1007_s13398_024_01637_5
crossref_citationtrail_10_1007_s13398_024_01637_5
springer_journals_10_1007_s13398_024_01637_5
PublicationCentury 2000
PublicationDate 20240700
2024-07-00
PublicationDateYYYYMMDD 2024-07-01
PublicationDate_xml – month: 7
  year: 2024
  text: 20240700
PublicationDecade 2020
PublicationPlace Cham
PublicationPlace_xml – name: Cham
PublicationTitle Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas
PublicationTitleAbbrev Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat
PublicationYear 2024
Publisher Springer International Publishing
Publisher_xml – name: Springer International Publishing
References Wang (CR8) 2024; 9
CR4
CR3
CR6
Masjed-Jamei (CR1) 2010; 60
CR5
Chen, Nie, Huang (CR7) 2020
Zhu (CR10) 2022; 10
CR9
Zhu (CR2) 2023
F Wang (1637_CR8) 2024; 9
1637_CR9
1637_CR5
1637_CR6
M Masjed-Jamei (1637_CR1) 2010; 60
1637_CR3
L Zhu (1637_CR2) 2023
1637_CR4
X-D Chen (1637_CR7) 2020
L Zhu (1637_CR10) 2022; 10
References_xml – year: 2020
  ident: CR7
  article-title: New inequalities between the inverse hyperbolic tangent and the analogue for corresponding functions
  publication-title: J. Inequal. Appl.
  doi: 10.1186/s13660-020-02396-8
– ident: CR9
– volume: 60
  start-page: 1280
  year: 2010
  end-page: 1289
  ident: CR1
  article-title: A main inequality for several special functions
  publication-title: Comput. Math. Appl.
  doi: 10.1016/j.camwa.2010.06.007
– ident: CR6
– volume: 10
  start-page: 2972
  year: 2022
  ident: CR10
  article-title: New Masjed Jamei type inequalities for inverse trigonometric and inverse hyperbolic functions
  publication-title: Mathematics
  doi: 10.3390/math10162972
– ident: CR5
– volume: 9
  start-page: 8768
  issue: 4
  year: 2024
  end-page: 8775
  ident: CR8
  article-title: A new proof of a double inequaltiy of Masjed-Jamei type
  publication-title: AIMS Math.
  doi: 10.3934/math.2024425
– ident: CR3
– ident: CR4
– year: 2023
  ident: CR2
  article-title: New double inequality of Masjed-Jamei type
  publication-title: Rev. Real Acad Cienc. Exactas Fis. Nat. Ser. A-Mat
  doi: 10.1007/s13398-022-01375-6
– year: 2023
  ident: 1637_CR2
  publication-title: Rev. Real Acad Cienc. Exactas Fis. Nat. Ser. A-Mat
  doi: 10.1007/s13398-022-01375-6
– ident: 1637_CR6
  doi: 10.28924/APJM/8-13
– ident: 1637_CR5
  doi: 10.1007/s13398-020-00836-0
– ident: 1637_CR4
  doi: 10.1007/s13398-019-00735-z
– ident: 1637_CR3
  doi: 10.1186/s13660-020-02396-8
– volume: 10
  start-page: 2972
  year: 2022
  ident: 1637_CR10
  publication-title: Mathematics
  doi: 10.3390/math10162972
– year: 2020
  ident: 1637_CR7
  publication-title: J. Inequal. Appl.
  doi: 10.1186/s13660-020-02396-8
– ident: 1637_CR9
– volume: 60
  start-page: 1280
  year: 2010
  ident: 1637_CR1
  publication-title: Comput. Math. Appl.
  doi: 10.1016/j.camwa.2010.06.007
– volume: 9
  start-page: 8768
  issue: 4
  year: 2024
  ident: 1637_CR8
  publication-title: AIMS Math.
  doi: 10.3934/math.2024425
SSID ssj0000314807
Score 2.286572
Snippet In this paper, we obtain a new inequality between the inverse hyperbolic tangent and inverse sine functions, which is a conjecture of Chen-Males̆ević [(Chen in...
SourceID crossref
springer
SourceType Enrichment Source
Index Database
Publisher
SubjectTerms Applications of Mathematics
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Original Paper
Theoretical
Title A proof of Chen-Males̆ević’s conjecture
URI https://link.springer.com/article/10.1007/s13398-024-01637-5
Volume 118
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVAVX
  databaseName: SpringerLINK Contemporary 1997-Present
  customDbUrl:
  eissn: 1579-1505
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000314807
  issn: 1578-7303
  databaseCode: RSV
  dateStart: 20080301
  isFulltext: true
  titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22
  providerName: Springer Nature
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LS8NAEF60etCD2qpYX-TgQakLzT6yybEUiwdbxEfpLWz2gYqk0lTPnvQ3-H88-iv8Je4mm5aCFBRynIQwO7Pf7M7MNwAcBTQxR2M_gRYcIQmFhqFAFEYCI-E3JSZ5lW__gvV64WAQXbqmsKysdi9TkvlOPW12w9i2gyFbNRFgBukiWDJwF9qBDVfX_cnNiiVkL_qkfWOO0Jgwdt0yv39mFpFm06E5ynTW__d_G2DNRZVeqzCDKlhQaQ2sdieUrFkNVJ0XZ96xo5o-2QSNlmd20KH2zNO-UynsGrzIvt4MWn6-f79-ZJ45Lj8UaYYtcNs5u2mfQzc-AQpkAguojQMoA9_aRk0Y-cpgu0F0nSgpWMClkIwqHvoqIUJjHomAR0RixsOI6AALvA0q6TBVO8DjgcBM0IRxLglnKKHCp1oGPJGEiCaqA79UYSwct7gdcfEYT1mRrXZio504105M66AxeeepYNaYK31aaj12XpbNEd_9m_geWEH5wtky3H1QGY-e1QFYFi_j-2x0mJvXDyhFx6s
linkProvider Springer Nature
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3NSsNAEB60CupBbVWsvzl4UHShyW6yybEUS8W2iNbSW9jsblCRVJrq2ZM-g-_j0afwSdxNNy0FKSjkOAlhMrPfbGa-bwGOPDdSW2M7QhocEfF5jHzuuCjg2OF2RWCSTfl2m7Td9nu94MqQwtJ82j1vSWYr9YTshrGmgzl6asLDFLnzsEAUYmnF_Oub7vjPihZkH_GkbRWOSIUwNmyZ3x8zjUjT7dAMZepr_3u_dVg1VaVVHYVBEeZkUoKV1liSNS1B0WRxah0bqemTDTitWmoF7ceWump3MkEthRfp15tCy8_379eP1FLb5YdRm2ETbuvnnVoDmeMTEHdUYYFilQBSwXesqybs2FJhu0L0OJKCU48JLqgrmW_LiPAYs4B7LCACU-YHJPYwx1tQSPqJ3AaLeRxT7kaUMUEYdSKX224sPBYJQnjFKYOduzDkRltcH3HxGE5UkbV3QuWdMPNO6JbhdHzP00hZY6b1We710GRZOsN852_mh7DU6LSaYfOifbkLy072EfVI7h4UhoNnuQ-L_GV4nw4OslD7AY5Lyo8
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3NSsNAEB60iuhBbVWsvzl4UOrSJrv5O5ZqUWxLQS29hc3-oCJpaapnT_oMvo9Hn8IncTdJWwtSECHHybLMzuSbzc73LcCRY4dqa2yGSIMjIh6TyGOWjXyGLWZWOCZJl2-n4bZaXrfrt3-w-JNu99GRZMpp0CpN0bDc57I8Ib5hrKlhlu6gcLCL7HlYILqRXu_XrzvjvyxanD3lTJsqNJEKZ5wxZ34fZhqdpo9GE8Spr_1_ruuwmlWbRjUNjzzMiagAK82xVGtcgHyW3bFxnElQn2xAqWqoL2tPGuqp3YkINRWOxJ-vCkU_3r5e3mNDzeEhPX7YhNv6-U3tAmXXKiBmqYIDSZUYQsG61NUUtkyhMF8hvQwFZ65DOeOuLahnipAwianPHOoTjl3q-UQ6mOEtyEW9SGyDQR2GXWaHLqWcUNcKbWbakjs05ISwilUEc-TOgGWa4_rqi8dgopasvRMo7wSJdwK7CKXxO_1UcWOm9eloBYIs--IZ5jt_Mz-EpfZZPWhctq52YdlK1lB36u5Bbjh4EvuwyJ6H9_HgIIm6b9IZ03M
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=A+proof+of+Chen-Males%CC%86evi%C4%87%E2%80%99s+conjecture&rft.jtitle=Revista+de+la+Real+Academia+de+Ciencias+Exactas%2C+F%C3%ADsicas+y+Naturales.+Serie+A%2C+Matem%C3%A1ticas&rft.au=Wang%2C+Fen&rft.au=Xiao%2C+Hai-Yan&rft.date=2024-07-01&rft.pub=Springer+International+Publishing&rft.issn=1578-7303&rft.eissn=1579-1505&rft.volume=118&rft.issue=3&rft_id=info:doi/10.1007%2Fs13398-024-01637-5&rft.externalDocID=10_1007_s13398_024_01637_5
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1578-7303&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1578-7303&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1578-7303&client=summon