On the rate of approximation by q modified Beta operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:377

Article

Gupta, Vijay²  Kim, Taekyun¹ 

[1] Kwangwoon Univ, Div Gen Educ Math, Seoul 139701, South Korea

[2] Netaji Subhas Inst Technol, Sch Appl Sci, New Delhi 110078, India

关键词: Linear positive operators;    Modified Beta operators;    Modulus of continuity;    q-Integers;    q-Beta functions;    q-Derivatives;    q-Integrals;    Rate of approximation;   

DOI  :  10.1016/j.jmaa.2010.11.021

来源: Elsevier

【 摘 要 】

In the present paper we propose the q analogue of the modified Beta operators. We apply q-derivatives to obtain the central moments of the discrete q-Beta operators. A direct result in terms of modulus of continuity for the q operators is also established. We have also used the properties of q integral to establish the recurrence formula for the moments of q analogue of the modified Beta operators. We also establish an asymptotic formula. In the end we have also present the modification of such q operators so as to have better estimate. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free