Bézier variant of the Jakimovski–Leviatan–Păltănea operators based on Appell polynomials

被引：0

作者：

Goyal M. ^{[1
]}

Agrawal P.N. ^{[1
]}

机构：

[1] Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee

来源：

ANNALI DELL'UNIVERSITA' DI FERRARA | 2017年 / 63卷 / 2期

关键词：

Bounded variation; Bézier operator; Modulus of continuity; Rate of convergence;

D O I：

10.1007/s11565-017-0288-9

中图分类号：

学科分类号：

摘要：

In this paper, we introduce the Bézier variant of the Jakimovski–Leviatan–Păltănea operators based on Appell polynomials. We establish some local results, a direct approximation theorem by means of the Ditzian–Totik modulus of smoothness and also study the rate of convergence for the functions having a derivative of bounded variation for these operators. © 2017, Università degli Studi di Ferrara.

引用

页码：289 / 302

页数：13

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