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.
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页码：289 / 302
页数：13
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