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(p,q)-Beta Functions and Applications in Approximation

2016/01/20 by Gradimir V. Milovanovic, Vijay Gupta, Milovanovic, Gradimir V. +3
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA

paper · pdf · doi:10.48550/arxiv.1602.06307

arxiv created 2016/03/17 · arxiv updated 2016/03/18

Abstract

In the present paper, we consider (p,q)-analogue of the Beta operators and using it, we propose the integral modification of the generalized Bernstein polynomials. We estimate some direct results on local and global approximation. Also, we illustrate some graphs for the convergence of (p,q)-Bernstein-Durrmeyer operators for different values of the parameters p and q using Mathematica package.

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