Estimates for the Differences of Certain Positive Linear Operators

被引：8

作者：

Acu, Ana Maria ^{[1
]}

Hodis, Sever ^{[2
]}

Rasa, Ioan ^{[2
]}

机构：

[1] Lucian Blaga Univ Sibiu, Dept Math & Informat, Str Dr I Ratiu 5-7, RO-550012 Sibiu, Romania

[2] Tech Univ Cluj Napoca, Fac Automat & Comp Sci, Dept Math, Str Memorandumului 28, Cluj Napoca 400114, Romania

来源：

MATHEMATICS | 2020年 / 8卷 / 05期

关键词：

positive linear operators; estimates of differences of operators; Baskakov operators; MKZ-operators; BBH-operators; Kantorovich modifications; ORDER KANTOROVICH MODIFICATION; APPROXIMATION;

D O I：

10.3390/math8050798

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present paper deals with estimates for differences of certain positive linear operators defined on bounded or unbounded intervals. Our approach involves Baskakov type operators, thekth order Kantorovich modification of the Baskakov operators, the discrete operators associated with Baskakov operators, Meyer-Konig and Zeller operators and Bleimann-Butzer-Hahn operators. Furthermore, the estimates in quantitative form of the differences of Baskakov operators and their derivatives in terms of first modulus of continuity are obtained.

引用

页数：12

共 30 条

[1]

Acu A. M., 2018, CONSTR MATH ANAL, V1, P113, DOI DOI 10.33205/CMA.478408

[2] New estimates for the differences of positive linear operators [J].