Approximation by Lupas-Beta integral operators

doi:10.1016/j.amc.2014.03.033

Approximation by Lupas-Beta integral operators

2014-06-01

14

PRE

AI

V

Vijay Gupta *

T

Themistocles M. Rassias

R

Rani Yadav

DOI：10.1016/j.amc.2014.03.033

Original

Original request for help

Save

Abstract

En 中文

In the present article we introduce certain Lupas-Beta operators which preserve constant as well as linear functions. We define the operators in terms of hypergeometric series and establish moments using such approach. Asymptotic formula error estimation due to modulus of continuity and weighted approximation are studied. We also establish the rate of convergence for those functions whose derivatives are of bounded variation. (C) 2014 Elsevier Inc. All rights reserved.

Keywords:

Lupas operators

Stirling number

Asymptotic formula

Weighted approximation

Rate of convergence

Approximation by Lupas-Beta integral operators

Abstract

Journal

Organization