GENERALIZED BASKAKOV TYPE OPERATORS

被引：3

作者：

Erencin, Aysegul ^{[1
]}

Olgun, Ali ^{[2
]}

Tasdelen, Fatma ^{[3
]}

机构：

[1] Abant Izzet Baysal Univ, Fac Sci & Arts, Dept Math, TR-14280 Bolu, Turkey

[2] Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey

[3] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey

来源：

MATHEMATICA SLOVACA | 2017年 / 67卷 / 05期

关键词：

Baskakov operator; weighted convergence; Voronovskaya type theorem; LINEAR POSITIVE OPERATORS; THEOREMS; APPROXIMATION; CONVERGENCE; SEQUENCE; SZASZ;

D O I：

10.1515/ms-2017-0048

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a generalization of Baskakov operators based on a function rho. We prove a weighted Korovkin type theorem and compute the rate of convergence via weighted modulus of continuity for these operators. Also we give a Voronovskaya type asymptotic formula.

引用

页码：1269 / 1277

页数：9

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