Approximation in the weighted generalized lipschitz class by deferred cesÁro-matrix product submethods

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dc.contributor.authorGölbol, Sibel Yasemin
dc.contributor.authorDe?er, U?ur
dc.date.accessioned2024-12-24T19:10:12Z
dc.date.available2024-12-24T19:10:12Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this study we obtain the error estimates of approximation to conjugate of a function f (2?-periodic) in the weighted generalized Lipschitz class W (Lp, ?(t)), p ? 1, by using a new product mean of its conjugate Fourier series. We write f ? W (Lp, ?(t)) if the condition (Formula Presented) holds, where ?(t) is a positive increasing function and p ? 1, ? ? 0. Here we introduce a new product mean called deferred Cesáro-Matrix (DCM) mean. Let T = (uj,k) be an infinite triangular matrix satisfying the Silverman-Toeplitz conditions. Then the deferred Cesáro-Matrix mean is defined by (Formula Presented) where a = (an) and b = (bn) are sequences of nonnegative integers with conditions an < bn, n = 1, 2, 3, … and lim n??bn = +?, and sk (f; x) denotes kth partial sum of Fourier series of f. © Palestine Polytechnic University-PPU 2021.
dc.identifier.endpage750
dc.identifier.issn2219-5688
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85110437791
dc.identifier.scopusqualityQ4
dc.identifier.startpage740
dc.identifier.urihttps://hdl.handle.net/20.500.12604/3994
dc.identifier.volume10
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPalestine Polytechnic University
dc.relation.ispartofPalestine Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectDeferred Cesáro-Matrix product mean
dc.subjectDegree of approximation
dc.subjectFourier series
dc.subjectTrigonometric approximation
dc.subjectWeighted generalized Lipschitz class
dc.titleApproximation in the weighted generalized lipschitz class by deferred cesÁro-matrix product submethods
dc.typeArticle

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