Approximation properties of modified q-Bernstein-Kantorovich operators

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dc.contributor.authorAcu, Ana Maria
dc.contributor.authorAgrawal, Purshottam
dc.contributor.authorKumar, Dharmendra
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2021-11-09T08:09:39Z
dc.date.available2021-11-09T08:09:39Z
dc.date.issued2019-08-01
dc.description.abstractIn the present paper we define a q-analogue of the modified Bernstein-Kantorovich operators introduced by Ozarslan and Duman (Numer. Funct. Anal. Optim. 37:92-105,2016). We establish the shape preserving properties of these operators e.g. monotonicity and convexity and study the rate of convergence by means of Lipschitz class and Peetre's K-functional and degree of approximation with the aid of a smoothing process e.g Steklov mean. Further, we introduce the bivariate case of modified q-Bernstein-Kantorovich operators and study the degree of approximation in terms of the partial and total modulus of continuity and Peetre's K-functional. Finally, we introduce the associated GBS (Generalized Boolean Sum) operators and investigate the approximation of the Bogel continuous and Bogel differentiable functions by using the mixed modulus of smoothness and Lipschitz class.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage2197tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue2tr_TR
dc.identifier.startpage2170tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.545460tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/75954
dc.identifier.volume68tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.545460tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectPeetre's K-functionaltr_TR
dc.subjectModulus of continuitytr_TR
dc.subjectLipschitz classtr_TR
dc.titleApproximation properties of modified q-Bernstein-Kantorovich operatorstr_TR
dc.typeArticletr_TR

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