Original scientific paper

Quantitative estimates for a certain bivariate Chlodowsky-Szasz-Kantorovich type operators

Nurhayat İspir ; Department of Mathematics, Faculty of Science, Gazi University, Ankara, Turkey
İbrahim Büyükyazıcı ; Department of Mathematics, Faculty of Science, Ankara University, Ankara, Turkey

Abstract

In this paper, we introduce a bivariate Kantorovich variant of the combination of Chlodowsky and Szasz type operators and study local approximation properties of these operators. We estimate the approximation order in terms of Peetre’s K-functional and partial moduli of continuity. We also give some numerical error estimates and illustrations.

Keywords

Chlodowsky and Szasz type operators; Kantorovich operators; partial moduli of continuity; Peetre’s K-functional

Hrčak ID:

157700

URI

https://hrcak.srce.hr/157700

Publication date:

16.5.2016.

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