Approximation by bivariate (p, q)-Baskakov-Kantorovich operators

被引：32
作者：
Ilarslan, Hatice Gul Ince [1 ]
Acar, Tuncer [2 ]
机构：
[1] Gazi Univ, Fac Sci, Dept Math, TR-06500 Ankara, Turkey
[2] Selcuk Univ, Fac Sci, Dept Math, TR-42003 Selcuklu, Konya, Turkey
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2018年 / 25卷 / 03期
关键词：
(p; q)-integers; q)-integral; q)-Baskakov-Kantorovich operators; weighted approximation; rate of convergence;
D O I：
10.1515/gmj-2016-0057
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The present paper deals with the bivariate (p, q)-Baskakov-Kantorovich operators and their approximation properties. First we construct the operators and obtain some auxiliary results such as calculations of moments and central moments, etc. Our main results consist of uniform convergence of the operators via the Korovkin theorem and rate of convergence in terms of modulus of continuity.
引用
收藏
页码：397 / 407
页数：11
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