(p, q)-Beta functions and applications in approximation

被引：43

作者：

Milovanovic, Gradimir V. ^{[1
,2
]}

Gupta, Vijay ^{[3
]}

Malik, Neha ^{[3
]}

机构：

[1] Serbian Acad Arts & Sci, Kneza Mihaila 35, Belgrade 11000, Serbia

[2] State Univ Novi Pazar, Novi Pazar, Serbia

[3] Netaji Subhas Inst Technol, Dept Math, Sect 3 Dwarka, New Delhi 110078, India

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2018年 / 24卷 / 01期

关键词：

(p; q)-Beta function; q)-Gamma function; Bernstein polynomial; Durrmeyer variant; Direct results;

D O I：

10.1007/s40590-016-0139-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：219 / 237

页数：19

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