APPROXIMATION PROPERTIES OF BERNSTEIN-KANTOROVICH TYPE OPERATORS OF TWO VARIABLES

被引：0

作者：

Karahan, Done ^{[1
]}

Izgi, Aydin ^{[1
]}

机构：

[1] Harran Univ, Math Dept, Sci & Letter Fac, Sanliurfa, Turkey

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2019年 / 68卷 / 02期

关键词：

Bernstein-Kantorovich operators; modulus of continuity; Voronovskaya type theorem;

D O I：

10.31801/cfsuasmas.558169

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, the generalized Bernstein-Kantorovich type opera- tors are introduced and some approximation properties of these operators are studied in the space of continuous functions of two variables on a compact set. The rate of convergence of these operators are obtained by means of the modulus of continuity. The Voronovskaya type theorem is given and some differential properties of these operators are proved.

引用

页码：2313 / 2323

页数：11

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