A certain family of mixed summation-integral-type Lupas-Phillips-Bernstein operators

被引：2

作者：

Sharma, Honey ^{[1
]}

Aujla, Jaspal Singh ^{[1
]}

机构：

[1] Natl Inst Technol, Dept Math, Jalandhar 144011, Punjab, India

来源：

MATHEMATICAL SCIENCES | 2012年 / 6卷 / 01期

关键词：

q-integers; q-integration; Lupas; operator; q-Bernstein operator; Statistical convergence; Modulus of continuity;

D O I：

10.1186/2251-7456-6-26

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Purpose: The purpose of this paper is to introduce the mixed summation-integral-type Lupas-Phillips-Bernstein operators. Methods: Firstly, we compute the moments of the operators. We use the method of Korovkin-type statistical approximation and modulus of continuity. Results: We find the rate of convergence of the modified operators using statistical convergence and modulus of continuity. Conclusions: The rate of convergence of the modified mixed operators is sufficiently sharp.

引用

页数：9