Approximation properties of modified q-Bernstein-Kantorovich operators
dc.contributor.author | Acu, Ana Maria | |
dc.contributor.author | Agrawal, Purshottam | |
dc.contributor.author | Kumar, Dharmendra | |
dc.contributor.department | Other | tr_TR |
dc.contributor.faculty | Other | tr_TR |
dc.date.accessioned | 2021-11-09T08:09:39Z | |
dc.date.available | 2021-11-09T08:09:39Z | |
dc.date.issued | 2019-08-01 | |
dc.description.abstract | In 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.index | Trdizin | tr_TR |
dc.identifier.endpage | 2197 | tr_TR |
dc.identifier.issn/e-issn | 2618-6470 | |
dc.identifier.issue | 2 | tr_TR |
dc.identifier.startpage | 2170 | tr_TR |
dc.identifier.uri | https://doi.org/10.31801/cfsuasmas.545460 | tr_TR |
dc.identifier.uri | http://hdl.handle.net/20.500.12575/75954 | |
dc.identifier.volume | 68 | tr_TR |
dc.language.iso | en | tr_TR |
dc.publisher | Ankara Üniversitesi Fen Fakültesi | tr_TR |
dc.relation.isversionof | 10.31801/cfsuasmas.545460 | tr_TR |
dc.relation.journal | Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics | tr_TR |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı | tr_TR |
dc.subject | Peetre's K-functional | tr_TR |
dc.subject | Modulus of continuity | tr_TR |
dc.subject | Lipschitz class | tr_TR |
dc.title | Approximation properties of modified q-Bernstein-Kantorovich operators | tr_TR |
dc.type | Article | tr_TR |