Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 2

APPROXIMATION PROPERTIES OF BERNSTEIN-KANTOROVICH TYPE OPERATORS OF TWO VARIABLES

APPROXIMATION PROPERTIES OF BERNSTEIN-KANTOROVICH TYPE OPERATORS OF TWO VARIABLES

Sayfa
2313–2323
DOI
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Abstract

In this study, the generalized Bernstein-Kantorovich type operators are introduced and some approximation properties of these operators arestudied in the space of continuous functions of two variables on a compactset. The rate of convergence of these operators are obtained by means of themodulus of continuity. The Voronovskaya type theorem is given and somedi§erential properties of these operators are proved.