Convergence of Integral Operators Based on Different Distributions

被引：8

作者：

Gupta, Vijay ^{[1
]}

Soybas, Danyal ^{[2
]}

机构：

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

[2] Erciyes Univ, Fac Educ, Dept Math Educ, TR-38039 Kayseri, Turkey

来源：

FILOMAT | 2016年 / 30卷 / 08期

关键词：

Durrmeyer variant; Polya distribution; Modulus of continuity; K-functional; Quantitative asymptotic formula; Linear functions; APPROXIMATION;

D O I：

10.2298/FIL1608277G

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a new sequence of integral type operators, which is based on the Polya and the binomial distributions. Here we have considered the value f(0) explicitly. It is observed that such integral operators preserve only the constant functions. We establish some direct results for the new sequence of linear positive operators. In the last section, we propose the modified form and observe that the modified form provides better approximation in the compact interval [1/3, 1/2].

引用

页码：2277 / 2287

页数：11

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