Approximation properties of Bernstein's singular integrals in variable exponent Lebesgue spaces on the real axis

dc.authorid0000-0001-6247-8518en_US
dc.contributor.authorAkgün, Ramazan
dc.date.accessioned2023-12-28T11:03:51Z
dc.date.available2023-12-28T11:03:51Z
dc.date.issued2022en_US
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn generalized Lebesgue spaces Lp(& BULL;) with variable exponent p (& BULL;) defined on the real axis, we obtain several inequalities of approximation by inte-gral functions of finite degree. Approximation properties of Bernstein singular integrals in these spaces are obtained. Estimates of simultaneous approxima-tion by integral functions of finite degree in Lp(& BULL;) are proved.en_US
dc.description.sponsorshipBalikesir University Scientific Research Project 2019/61en_US
dc.identifier.doi10.31801/cfsuasmas.1056890
dc.identifier.endpage1079en_US
dc.identifier.issn1303-5991
dc.identifier.issue4en_US
dc.identifier.startpage1059en_US
dc.identifier.trdizinid1146265
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.1056890
dc.identifier.urihttps://hdl.handle.net/20.500.12462/13708
dc.identifier.volume71en_US
dc.identifier.wosWOS:000913394100014
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakTR-Dizin
dc.language.isoenen_US
dc.publisherAnkara Univen_US
dc.relation.ispartofCommunications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statisticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectModulus of Smoothnessen_US
dc.subjectSimultaneous Approximationen_US
dc.subjectBernstein Singular Integralen_US
dc.subjectForward Steklov Meanen_US
dc.subjectMollifiersen_US
dc.subjectJackson Inequalityen_US
dc.subjectEntire Integral Functions of Finite Degreeen_US
dc.titleApproximation properties of Bernstein's singular integrals in variable exponent Lebesgue spaces on the real axisen_US
dc.typeArticleen_US

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