Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials

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dc.authoridSrivastava, Hari M./0000-0002-9277-8092
dc.authoridErkus-Duman, Esra/0000-0003-1848-5248
dc.authoridDuman, Oktay/0000-0001-7779-6877
dc.contributor.authorErkus, Esra
dc.contributor.authorDuman, Oktay
dc.contributor.authorSrivastava, H. M.
dc.date.accessioned2025-01-27T20:22:49Z
dc.date.available2025-01-27T20:22:49Z
dc.date.issued2006
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractIn this study, by obtaining some Korovkin type approximation results in statistical sense for certain positive linear operators constructed by means of the Chan-Chyan-Srivastava multivariable polynomials [W.-C.C. Chan, C.-J. Chyan, H.M. Srivastava, The Lagrange polynomials in several variables, Integral Transform. Spec. Funct. 12 (2001) 139-148], we show that our approximation method is stronger than the corresponding classical aspects in the approximation theory settings. Furthermore, we investigate their statistical rates by means of the modulus of continuity and the elements of the Lipschitz class. (c) 2006 Elsevier Inc. All rights reserved.
dc.identifier.doi10.1016/j.amc.2006.01.090
dc.identifier.endpage222
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue1
dc.identifier.scopus2-s2.0-33750910028
dc.identifier.scopusqualityQ1
dc.identifier.startpage213
dc.identifier.urihttps://doi.org/10.1016/j.amc.2006.01.090
dc.identifier.urihttps://hdl.handle.net/20.500.12428/22041
dc.identifier.volume182
dc.identifier.wosWOS:000244916700023
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier Science Inc
dc.relation.ispartofApplied Mathematics and Computation
dc.relation.publicationcategoryinfo:eu-repo/semantics/openAccess
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectChan-Chyan-Srivastava multivariable polynomials
dc.subjectLagrange polynomials
dc.subjectA-statistical convergence
dc.subjectpositive linear operators
dc.subjectKorovkin approximation theorem
dc.subjectFourier series
dc.subjectGibbs phenomenon
dc.subjectmodulus of continuity
dc.subjectlipschitz class
dc.titleStatistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials
dc.typeArticle

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