Approximation by polynomials and rational functions in weighted rearrangement invariant spaces
Let Γ be a Dini-smooth curve in the complex plane, and let G : = Int Γ . We prove some direct and inverse theorems of approximation theory by algebraic polynomials and rational functions in the weighted rearrangement invariant Smirnov spaces E X ( G , ω ) defined on G.
Uloženo v:
| Vydáno v: | Journal of mathematical analysis and applications Ročník 346; číslo 2; s. 489 - 500 |
|---|---|
| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
San Diego, CA
Elsevier Inc
15.10.2008
Elsevier |
| Témata: | |
| ISSN: | 0022-247X, 1096-0813 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | Let
Γ be a Dini-smooth curve in the complex plane, and let
G
:
=
Int
Γ
. We prove some direct and inverse theorems of approximation theory by algebraic polynomials and rational functions in the weighted rearrangement invariant Smirnov spaces
E
X
(
G
,
ω
)
defined on
G. |
|---|---|
| AbstractList | Let
Γ be a Dini-smooth curve in the complex plane, and let
G
:
=
Int
Γ
. We prove some direct and inverse theorems of approximation theory by algebraic polynomials and rational functions in the weighted rearrangement invariant Smirnov spaces
E
X
(
G
,
ω
)
defined on
G. |
| Author | Akgün, Ramazan Israfilov, Daniyal M. |
| Author_xml | – sequence: 1 givenname: Daniyal M. surname: Israfilov fullname: Israfilov, Daniyal M. email: mdaniyal@balikesir.edu.tr – sequence: 2 givenname: Ramazan surname: Akgün fullname: Akgün, Ramazan email: rakgun@balikesir.edu.tr |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=20535780$$DView record in Pascal Francis |
| BookMark | eNp9kD9PwzAQxS0EEm3hCzBlYUw4203jSCyo4p-ExAISE9bFuRRXqRPZodBvj9vCwlAvPuvd78nvjdmx6xwxdsEh48BnV8tsuULMBIDKIM9gCkdsxKGcpaC4PGYjACFSMS3eTtk4hCUA53nBR-z9pu99921XONjOJdUm6bt247qVxTYk6OrE7xRsk-bTme0YEuuSL7KLj4GiTOg9ugWtyA1RWaO3GKfQo6Fwxk6aaETnv_eEvd7dvswf0qfn-8f5zVNqpIQhrSuBTcnVNOdyphoBlKOMrwK5QKyULE0dTyUVFNOyMkIibxSaJq9lScTlhF3ufXsMBtsm_sjYoHsfg_mNFpDLvFAQ99R-z_guBE-NNnbYBRw82lZz0Ns-9VJv-9TbPjXkOvYZUfEP_XM_CF3vIYrh15a8DsaSM1RbT2bQdWcP4T-ZdZOm |
| CODEN | JMANAK |
| CitedBy_id | crossref_primary_10_1080_17476933_2014_940928 crossref_primary_10_1155_2012_982360 crossref_primary_10_1007_s11253_011_0485_0 crossref_primary_10_1016_j_jmaa_2020_124601 crossref_primary_10_1007_s40065_017_0164_6 crossref_primary_10_1007_s00009_014_0389_y crossref_primary_10_1007_s40065_021_00358_6 crossref_primary_10_1080_17476933_2014_882915 crossref_primary_10_13108_2022_14_3_117 |
| Cites_doi | 10.1007/BF01186562 10.1007/s003650010030 10.1007/BF02836450 10.1090/S0002-9947-1972-0293384-6 10.1007/s10587-004-6423-7 10.4064/sm-31-1-43-59 10.1007/978-3-662-53294-2 10.1216/jiea/1181074970 10.3336/gm.40.1.09 10.1007/BF03321862 10.4134/JKMS.2006.43.2.413 10.1090/S0002-9939-1967-0212556-3 10.1016/0021-9045(77)90029-6 10.1007/BF01192300 10.1090/S0002-9947-1959-0108595-3 |
| ContentType | Journal Article |
| Copyright | 2008 Elsevier Inc. 2008 INIST-CNRS |
| Copyright_xml | – notice: 2008 Elsevier Inc. – notice: 2008 INIST-CNRS |
| DBID | 6I. AAFTH AAYXX CITATION IQODW |
| DOI | 10.1016/j.jmaa.2008.05.040 |
| DatabaseName | ScienceDirect Open Access Titles Elsevier:ScienceDirect:Open Access CrossRef Pascal-Francis |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1096-0813 |
| EndPage | 500 |
| ExternalDocumentID | 20535780 10_1016_j_jmaa_2008_05_040 S0022247X08005052 |
| GroupedDBID | --K --M --Z -~X .~1 0R~ 0SF 1B1 1RT 1~. 1~5 29L 4.4 457 4G. 5GY 5VS 6I. 6TJ 7-5 71M 85S 8P~ 9JN AABNK AACTN AAEDT AAEDW AAFTH AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AASFE AAXUO ABAOU ABEFU ABFNM ABJNI ABMAC ABVKL ABXDB ABYKQ ACAZW ACDAQ ACGFS ACRLP ADBBV ADEZE ADFGL ADIYS ADMUD AEBSH AEKER AENEX AETEA AEXQZ AFFNX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AI. AIEXJ AIGVJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ARUGR ASPBG AVWKF AXJTR AZFZN BKOJK BLXMC CAG COF CS3 DM4 EBS EFBJH EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q G8K GBLVA HVGLF HZ~ H~9 IHE IXB J1W KOM LG5 M25 M41 MCRUF MHUIS MO0 MVM N9A NCXOZ O-L O9- OAUVE OHT OK1 OZT P-8 P-9 P2P PC. Q38 R2- RIG RNS ROL RPZ SDF SDG SDP SES SEW SPC SPCBC SSW SSZ T5K TN5 TWZ UPT VH1 VOH WH7 WUQ XOL XPP YQT YYP ZCG ZMT ZU3 ~G- 9DU AATTM AAXKI AAYWO AAYXX ABDPE ABUFD ABWVN ACLOT ACRPL ACVFH ADCNI ADNMO ADVLN ADXHL AEIPS AEUPX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP CITATION EFKBS ~HD AFXIZ AGCQF AGRNS BNPGV IQODW SSH |
| ID | FETCH-LOGICAL-c330t-db2af918451368f20e5a38457a12aab839cddddb380749bc23a1f8acf5d39ee13 |
| ISICitedReferencesCount | 17 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000257922000014&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0022-247X |
| IngestDate | Mon Jul 21 09:15:31 EDT 2025 Sat Nov 29 03:58:17 EST 2025 Tue Nov 18 20:23:17 EST 2025 Fri Feb 23 02:27:53 EST 2024 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 2 |
| Keywords | Inverse theorems Banach function spaces Weighted rearrangement invariant space Dini-smooth curve Constructive characterization Direct theorems Modulus of smoothness Polynomial function Polynomial Invariant Dini-smooth curve;Banach function spaces;Direct theorems;Inverse theorems;Weighted rearrangement invariant space;Modulus of smoothness;Constructive characterization Mathematical analysis Polynomial approximation Weight function Smooth function Approximation theory Application Rational function Direct theorem |
| Language | English |
| License | http://www.elsevier.com/open-access/userlicense/1.0 https://www.elsevier.com/tdm/userlicense/1.0 https://www.elsevier.com/open-access/userlicense/1.0 CC BY 4.0 |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c330t-db2af918451368f20e5a38457a12aab839cddddb380749bc23a1f8acf5d39ee13 |
| OpenAccessLink | https://dx.doi.org/10.1016/j.jmaa.2008.05.040 |
| PageCount | 12 |
| ParticipantIDs | pascalfrancis_primary_20535780 crossref_citationtrail_10_1016_j_jmaa_2008_05_040 crossref_primary_10_1016_j_jmaa_2008_05_040 elsevier_sciencedirect_doi_10_1016_j_jmaa_2008_05_040 |
| PublicationCentury | 2000 |
| PublicationDate | 2008-10-15 |
| PublicationDateYYYYMMDD | 2008-10-15 |
| PublicationDate_xml | – month: 10 year: 2008 text: 2008-10-15 day: 15 |
| PublicationDecade | 2000 |
| PublicationPlace | San Diego, CA |
| PublicationPlace_xml | – name: San Diego, CA |
| PublicationTitle | Journal of mathematical analysis and applications |
| PublicationYear | 2008 |
| Publisher | Elsevier Inc Elsevier |
| Publisher_xml | – name: Elsevier Inc – name: Elsevier |
| References | Al'per (bib002) 1960 Suetin (bib028) 1998 Israfilov, Guven (bib018) 2005; 11 Duren (bib008) 1970 Karlovich (bib020) 2000; 38 Warschawski (bib030) 1932; 35 Boyd (bib005) 1967; 18 Ibragimov, Mamedhanov (bib014) 1975; 223 Rudin (bib027) 1987 Kokilashvili (bib023) 1968; 31 Akgün, Israfilov (bib001) 2006; 43 A. Guven, D.M. Israfilov, Approximation by trigonometric polynomials in weighted rearrangement invariant spaces, submitted for publication Israfilov (bib015) 1987; 2 Israfilov (bib017) 2004; 54 Çavuş, Israfilov (bib007) 1995; 11 Karlovich (bib022) 2003; 15 Andersson (bib003) 1977; 19 Israfilov, Oktay, Akgun (bib019) 2005; 40 Muckenhoupt (bib026) 1972; 167 Dynkin (bib009) 1977; 7 Kokilashvili (bib024) 1969; 10 Gaier (bib010) 1987 Guven, Israfilov (bib012) 2002; 2 Karlovich (bib021) 2002; 47 Israfilov (bib016) 2001; 17 Benneth, Sharpley (bib004) 1988; vol. 129 Walsh, Russel (bib029) 1959; 92 Böttcher, Karlovich (bib006) 1997; vol. 154 Goluzin (bib011) 1969; vol. 26 Lindenstrauss, Tzafriri (bib025) 1996 Böttcher (10.1016/j.jmaa.2008.05.040_bib006) 1997; vol. 154 Rudin (10.1016/j.jmaa.2008.05.040_bib027) 1987 Suetin (10.1016/j.jmaa.2008.05.040_bib028) 1998 Akgün (10.1016/j.jmaa.2008.05.040_bib001) 2006; 43 Çavuş (10.1016/j.jmaa.2008.05.040_bib007) 1995; 11 Muckenhoupt (10.1016/j.jmaa.2008.05.040_bib026) 1972; 167 10.1016/j.jmaa.2008.05.040_bib013 Dynkin (10.1016/j.jmaa.2008.05.040_bib009) 1977; 7 Ibragimov (10.1016/j.jmaa.2008.05.040_bib014) 1975; 223 Israfilov (10.1016/j.jmaa.2008.05.040_bib017) 2004; 54 Karlovich (10.1016/j.jmaa.2008.05.040_bib020) 2000; 38 Gaier (10.1016/j.jmaa.2008.05.040_bib010) 1987 Israfilov (10.1016/j.jmaa.2008.05.040_bib019) 2005; 40 Al'per (10.1016/j.jmaa.2008.05.040_bib002) 1960 Boyd (10.1016/j.jmaa.2008.05.040_bib005) 1967; 18 Kokilashvili (10.1016/j.jmaa.2008.05.040_bib023) 1968; 31 Karlovich (10.1016/j.jmaa.2008.05.040_bib022) 2003; 15 Israfilov (10.1016/j.jmaa.2008.05.040_bib016) 2001; 17 Guven (10.1016/j.jmaa.2008.05.040_bib012) 2002; 2 Kokilashvili (10.1016/j.jmaa.2008.05.040_bib024) 1969; 10 Israfilov (10.1016/j.jmaa.2008.05.040_bib018) 2005; 11 Israfilov (10.1016/j.jmaa.2008.05.040_bib015) 1987; 2 Benneth (10.1016/j.jmaa.2008.05.040_bib004) 1988; vol. 129 Duren (10.1016/j.jmaa.2008.05.040_bib008) 1970 Goluzin (10.1016/j.jmaa.2008.05.040_bib011) 1969; vol. 26 Karlovich (10.1016/j.jmaa.2008.05.040_bib021) 2002; 47 Lindenstrauss (10.1016/j.jmaa.2008.05.040_bib025) 1996 Andersson (10.1016/j.jmaa.2008.05.040_bib003) 1977; 19 Walsh (10.1016/j.jmaa.2008.05.040_bib029) 1959; 92 Warschawski (10.1016/j.jmaa.2008.05.040_bib030) 1932; 35 |
| References_xml | – volume: 54 start-page: 751 year: 2004 end-page: 765 ident: bib017 article-title: Approximation by publication-title: Czechoslovak Math. J. – volume: 15 start-page: 263 year: 2003 end-page: 320 ident: bib022 article-title: Fredholmness of singular integral operators with piecewise continuous coefficients on weighted Banach function spaces publication-title: J. Integral Equations Appl. – volume: 31 start-page: 43 year: 1968 end-page: 59 ident: bib023 article-title: On analytic functions of Smirnov–Orlicz classes publication-title: Studia Math. – volume: 223 start-page: 35 year: 1975 end-page: 37 ident: bib014 article-title: A constructive characterization of a certain class of functions publication-title: Dokl. Akad. Nauk SSSR – start-page: 272 year: 1960 end-page: 286 ident: bib002 article-title: Approximation in the mean of analytic functions of class publication-title: Investigations on the Modern Problems of the Function Theory of a Complex Variable – volume: vol. 154 year: 1997 ident: bib006 article-title: Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators publication-title: Progr. Math. – year: 1996 ident: bib025 article-title: Classical Banach Spaces I and II publication-title: Classics Math. – year: 1998 ident: bib028 article-title: Series of Faber Polynomials, vol. 1 – volume: 2 start-page: 509 year: 2002 end-page: 517 ident: bib012 article-title: Polynomial approximation in Smirnov–Orlicz classes publication-title: Comput. Methods Funct. Theory – volume: 2 start-page: 10 year: 1987 end-page: 14 ident: bib015 article-title: Approximate properties of the generalized Faber series in an integral metric publication-title: Izv. Akad. Nauk Azerb. SSR Ser. Fiz.-Tekh. Math. Nauk – volume: 92 start-page: 355 year: 1959 end-page: 370 ident: bib029 article-title: Integrated continuity conditions and degree of approximation by polynomials or by bounded analytic functions publication-title: Trans. Amer. Math. Soc. – volume: 38 start-page: 28 year: 2000 end-page: 50 ident: bib020 article-title: The essential norm of the Cauchy singular integral operator in weighted rearrangement invariant spaces publication-title: Integral Equations Operator Theory – volume: 19 start-page: 61 year: 1977 end-page: 68 ident: bib003 article-title: On the degree of polynomial approximation in publication-title: J. Approx. Theory – volume: vol. 129 year: 1988 ident: bib004 article-title: Interpolation of Operators publication-title: Pure Appl. Math. – reference: A. Guven, D.M. Israfilov, Approximation by trigonometric polynomials in weighted rearrangement invariant spaces, submitted for publication – volume: 11 start-page: 91 year: 2005 end-page: 102 ident: bib018 article-title: Approximation in weighted Smirnov classes publication-title: East J. Approx. – year: 1987 ident: bib027 article-title: Real and Complex Analysis – volume: 18 start-page: 215 year: 1967 end-page: 219 ident: bib005 article-title: Spaces between a pair of reflexive Lebesgue spaces publication-title: Proc. Amer. Math. Soc. – volume: 11 start-page: 105 year: 1995 end-page: 118 ident: bib007 article-title: Approximation by Faber–Laurent rational functions in the mean of functions of the class publication-title: J. Approx. Theory Appl. – volume: 40 start-page: 87 year: 2005 end-page: 102 ident: bib019 article-title: Approximation in Smirnov–Orlicz classes publication-title: Glas. Mat. – volume: 35 start-page: 321 year: 1932 end-page: 456 ident: bib030 article-title: Über das ranverhalten der Ableitung der Abildungsfunktion bei konformer Abbildung publication-title: Math. Z. – volume: 17 start-page: 335 year: 2001 end-page: 351 ident: bib016 article-title: Approximation by publication-title: Constr. Approx. – volume: 167 start-page: 207 year: 1972 end-page: 226 ident: bib026 article-title: Weighted norm inequalities for the Hardy maximal function publication-title: Trans. Amer. Math. Soc. – volume: 43 start-page: 412 year: 2006 end-page: 424 ident: bib001 article-title: Approximation by interpolating polynomials in Smirnov–Orlicz class publication-title: J. Korean Math. Soc. – volume: 7 start-page: 548 year: 1977 end-page: 557 ident: bib009 article-title: Uniform approximation of functions in Jordan domains publication-title: Siberian Math. J. – year: 1987 ident: bib010 article-title: Lectures on Complex Approximation – volume: vol. 26 year: 1969 ident: bib011 article-title: Geometric Theory of Functions of a Complex Variable publication-title: Transl. Math. Monogr. – volume: 10 start-page: 411 year: 1969 end-page: 414 ident: bib024 article-title: A direct theorem on mean approximation of analytic functions by polynomials publication-title: Soviet Math. Dokl. – volume: 47 start-page: 303 year: 2002 end-page: 323 ident: bib021 article-title: Algebras of singular integral operators with PC coefficients in rearrangement-invariant spaces with Muckenhoupt weights publication-title: J. Operator Theory – year: 1970 ident: bib008 article-title: Theory of – year: 1970 ident: 10.1016/j.jmaa.2008.05.040_bib008 – volume: 35 start-page: 321 year: 1932 ident: 10.1016/j.jmaa.2008.05.040_bib030 article-title: Über das ranverhalten der Ableitung der Abildungsfunktion bei konformer Abbildung publication-title: Math. Z. doi: 10.1007/BF01186562 – volume: 17 start-page: 335 year: 2001 ident: 10.1016/j.jmaa.2008.05.040_bib016 article-title: Approximation by p-Faber polynomials in the weighted Smirnov class Ep(G,ω) and the Bieberbach polynomials publication-title: Constr. Approx. doi: 10.1007/s003650010030 – volume: vol. 26 year: 1969 ident: 10.1016/j.jmaa.2008.05.040_bib011 article-title: Geometric Theory of Functions of a Complex Variable – ident: 10.1016/j.jmaa.2008.05.040_bib013 – volume: 11 start-page: 105 year: 1995 ident: 10.1016/j.jmaa.2008.05.040_bib007 article-title: Approximation by Faber–Laurent rational functions in the mean of functions of the class Lp(Γ) with 1<p<∞ publication-title: J. Approx. Theory Appl. doi: 10.1007/BF02836450 – volume: 167 start-page: 207 year: 1972 ident: 10.1016/j.jmaa.2008.05.040_bib026 article-title: Weighted norm inequalities for the Hardy maximal function publication-title: Trans. Amer. Math. Soc. doi: 10.1090/S0002-9947-1972-0293384-6 – volume: 54 start-page: 751 year: 2004 ident: 10.1016/j.jmaa.2008.05.040_bib017 article-title: Approximation by p-Faber–Laurent rational functions in the weighted Lebesgue spaces publication-title: Czechoslovak Math. J. doi: 10.1007/s10587-004-6423-7 – volume: 31 start-page: 43 year: 1968 ident: 10.1016/j.jmaa.2008.05.040_bib023 article-title: On analytic functions of Smirnov–Orlicz classes publication-title: Studia Math. doi: 10.4064/sm-31-1-43-59 – year: 1987 ident: 10.1016/j.jmaa.2008.05.040_bib010 – volume: 223 start-page: 35 year: 1975 ident: 10.1016/j.jmaa.2008.05.040_bib014 article-title: A constructive characterization of a certain class of functions publication-title: Dokl. Akad. Nauk SSSR – year: 1998 ident: 10.1016/j.jmaa.2008.05.040_bib028 – volume: 47 start-page: 303 year: 2002 ident: 10.1016/j.jmaa.2008.05.040_bib021 article-title: Algebras of singular integral operators with PC coefficients in rearrangement-invariant spaces with Muckenhoupt weights publication-title: J. Operator Theory – volume: 10 start-page: 411 year: 1969 ident: 10.1016/j.jmaa.2008.05.040_bib024 article-title: A direct theorem on mean approximation of analytic functions by polynomials publication-title: Soviet Math. Dokl. – year: 1996 ident: 10.1016/j.jmaa.2008.05.040_bib025 article-title: Classical Banach Spaces I and II doi: 10.1007/978-3-662-53294-2 – volume: vol. 129 year: 1988 ident: 10.1016/j.jmaa.2008.05.040_bib004 article-title: Interpolation of Operators – volume: 11 start-page: 91 year: 2005 ident: 10.1016/j.jmaa.2008.05.040_bib018 article-title: Approximation in weighted Smirnov classes publication-title: East J. Approx. – volume: 15 start-page: 263 year: 2003 ident: 10.1016/j.jmaa.2008.05.040_bib022 article-title: Fredholmness of singular integral operators with piecewise continuous coefficients on weighted Banach function spaces publication-title: J. Integral Equations Appl. doi: 10.1216/jiea/1181074970 – volume: 40 start-page: 87 year: 2005 ident: 10.1016/j.jmaa.2008.05.040_bib019 article-title: Approximation in Smirnov–Orlicz classes publication-title: Glas. Mat. doi: 10.3336/gm.40.1.09 – volume: 2 start-page: 509 year: 2002 ident: 10.1016/j.jmaa.2008.05.040_bib012 article-title: Polynomial approximation in Smirnov–Orlicz classes publication-title: Comput. Methods Funct. Theory doi: 10.1007/BF03321862 – volume: 2 start-page: 10 year: 1987 ident: 10.1016/j.jmaa.2008.05.040_bib015 article-title: Approximate properties of the generalized Faber series in an integral metric publication-title: Izv. Akad. Nauk Azerb. SSR Ser. Fiz.-Tekh. Math. Nauk – volume: vol. 154 year: 1997 ident: 10.1016/j.jmaa.2008.05.040_bib006 article-title: Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators – volume: 43 start-page: 412 year: 2006 ident: 10.1016/j.jmaa.2008.05.040_bib001 article-title: Approximation by interpolating polynomials in Smirnov–Orlicz class publication-title: J. Korean Math. Soc. doi: 10.4134/JKMS.2006.43.2.413 – start-page: 272 year: 1960 ident: 10.1016/j.jmaa.2008.05.040_bib002 article-title: Approximation in the mean of analytic functions of class Ep – volume: 18 start-page: 215 year: 1967 ident: 10.1016/j.jmaa.2008.05.040_bib005 article-title: Spaces between a pair of reflexive Lebesgue spaces publication-title: Proc. Amer. Math. Soc. doi: 10.1090/S0002-9939-1967-0212556-3 – volume: 7 start-page: 548 year: 1977 ident: 10.1016/j.jmaa.2008.05.040_bib009 article-title: Uniform approximation of functions in Jordan domains publication-title: Siberian Math. J. – year: 1987 ident: 10.1016/j.jmaa.2008.05.040_bib027 – volume: 19 start-page: 61 year: 1977 ident: 10.1016/j.jmaa.2008.05.040_bib003 article-title: On the degree of polynomial approximation in Ep(D) publication-title: J. Approx. Theory doi: 10.1016/0021-9045(77)90029-6 – volume: 38 start-page: 28 year: 2000 ident: 10.1016/j.jmaa.2008.05.040_bib020 article-title: The essential norm of the Cauchy singular integral operator in weighted rearrangement invariant spaces publication-title: Integral Equations Operator Theory doi: 10.1007/BF01192300 – volume: 92 start-page: 355 year: 1959 ident: 10.1016/j.jmaa.2008.05.040_bib029 article-title: Integrated continuity conditions and degree of approximation by polynomials or by bounded analytic functions publication-title: Trans. Amer. Math. Soc. doi: 10.1090/S0002-9947-1959-0108595-3 |
| SSID | ssj0011571 |
| Score | 1.9681352 |
| Snippet | Let
Γ be a Dini-smooth curve in the complex plane, and let
G
:
=
Int
Γ
. We prove some direct and inverse theorems of approximation theory by algebraic... |
| SourceID | pascalfrancis crossref elsevier |
| SourceType | Index Database Enrichment Source Publisher |
| StartPage | 489 |
| SubjectTerms | Approximations and expansions Banach function spaces Constructive characterization Dini-smooth curve Direct theorems Exact sciences and technology Inverse theorems Mathematical analysis Mathematics Modulus of smoothness Real functions Sciences and techniques of general use Weighted rearrangement invariant space |
| Title | Approximation by polynomials and rational functions in weighted rearrangement invariant spaces |
| URI | https://dx.doi.org/10.1016/j.jmaa.2008.05.040 |
| Volume | 346 |
| WOSCitedRecordID | wos000257922000014&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: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1096-0813 dateEnd: 20180131 omitProxy: false ssIdentifier: ssj0011571 issn: 0022-247X databaseCode: AIEXJ dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1bb9MwFLZKxwMIIa5iXCY_8DalShw7iR_LNARIm3gYUp-IbMdG6dq0Skvp-An8auz4snTTJvZAHqI0Stwk3xf75Pic7wDwXipMlaI4EryoIpxgFDFKiihDucgUEjLJqq7YRH56Wkwm9Otg8MfnwmxmedMU2y1d_leo9T4NtkmdvQPcoVG9Q29r0PVaw67X_wT82KiEb2ubkmisy-VidmGSj41QchdN7v1_ZkwLoeS_Oh-pNMksrG1NykEXJlA3G_01rR__oe56hAs4vG7MzoP6a6c94IROOiHY3gz5JQ9bpurZYuOT3I0L42QUyHf-w8zffziy_gE2Z78dh717otOKtQmavXQBhPNJv8tNndux7n362g4U24JCbiwmnYrp9W7eehymo-mcMRcPS0ax1X3a1dS-MtaFCEQf3DYtTRuuGCcpdRv3wB7KCS2GYG_8-XjyJcxJJSRPvPa8uSGXgmWjBa9eyU1mzqMlW2kklK2a0jNlzp6Axw42OLbceQoGsnkGHp4ECFfPwfcdFkF-AXssghpX6FkEA4tg3UDPIrjDIhhYBC2LXoBvH4_Pjj5FrhRHJNI0XkcVR0zRpMAkSbNCoVgSlupfOUsQY1xb2aLSCzflCzDlAqUsUQUTilQplTJJX4Jhs2jkKwArjHGVESqo3ogrwlNEKs5VLmPOYqz2QeKfXCmcTr0plzIrb8ZsHxyGc5ZWpeXWo4kHpHR2prUfS82vW8872EEv_BUyIkl5Eb--02W8AQ8uX5i3YLhuf8p34L7YrOtVe-DY9xdSMa_4 |
| linkProvider | Elsevier |
| 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=Approximation+by+polynomials+and+rational+functions+in+weighted+rearrangement+invariant+spaces&rft.jtitle=Journal+of+mathematical+analysis+and+applications&rft.au=Israfilov%2C+Daniyal+M.&rft.au=Akg%C3%BCn%2C+Ramazan&rft.date=2008-10-15&rft.issn=0022-247X&rft.volume=346&rft.issue=2&rft.spage=489&rft.epage=500&rft_id=info:doi/10.1016%2Fj.jmaa.2008.05.040&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_jmaa_2008_05_040 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0022-247X&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0022-247X&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0022-247X&client=summon |