GBS OPERATORS OF DURRMEYER-STANCU TYPE

被引：14

作者：

Pop, Ovidiu T. ^{[1
]}

Barbosu, Dan ^{[2
]}

机构：

[1] Vasile Goldis Western Univ Arad, Branch Satu Mare, Satu Mare 440030, Romania

[2] N Univ Baia Mare, Dept Math & Comp Sci, Baia Mare 43012, Romania

来源：

MISKOLC MATHEMATICAL NOTES | 2008年 / 9卷 / 01期

关键词：

linear positive operators; Durrmeyer operators; Stancu operators; bivariate operators; mixed modulus of smoothness; approximation of functions by GBS operators;

D O I：

10.18514/MMN.2008.133

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Considering four given real parameters alpha(1), beta(1), alpha(2), and beta(2), which satisfy the conditions 0 <= alpha(1) <= beta(1) and 0 <= alpha(2) <= beta(2), we construct the bivariate Durrmeyer-Stancu operators D-m,n((alpha 1,beta 1) (alpha 2,beta 2)) defined by relation (3.1). Next, we consider the associated GBS (Generalized Boolean Sum) operators and establish some approximation properties of these operators.

引用

页码：53 / 60

页数：8