English

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

Classical Analysis and ODEs 2016-03-18 v2

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.

Keywords

Cite

@article{arxiv.1602.06307,
  title  = {(p,q)-Beta Functions and Applications in Approximation},
  author = {Gradimir V. Milovanovic and Vijay Gupta and Neha Malik},
  journal= {arXiv preprint arXiv:1602.06307},
  year   = {2016}
}
R2 v1 2026-06-22T12:54:05.229Z