Evaluation of Norm of (p, q)-Bernstein Operators

Author:

Khan Nabiullah1,Saif Mohd2,Usman Talha3

Affiliation:

1. * Department of Applied Mathematics Faculty of Engineering and Technology Aligarh Muslim University Aligarh-202002 INDIA

2. ** Department of Mathematics Madanapalle Institute of Technology & Science Madanapalle Chittor Andhra Pradesh-517325 INDIA

3. *** Department of General Requirements University of Technology and Applied Sciences Sur-411 SULTANATE OF OMAN

Abstract

Abstract In this paper, we aim to study about the estimation of norm of (p, q)-Bernstein operators B p , q n $\mathcal{B}_{p,q}^{n}$ in C[0,1] for the case q > p > 1 by applying (p, q)-calculus and divided difference analogue of (p, q)-Bernstein operators. Some basic theorem and related results are also discussed in this paper. Here, the extra parameter p shows more flexibility by choosing the value of p.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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