Estimates for the Differences of Certain Positive Linear Operators

Mathematics

AnaMaria Acu¹  Ioan Rașa²  Sever Hodiş² 

[1] Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, Str. Dr. I. Ratiu, No. 5-7, RO-550012 Sibiu, Romania;Department of Mathematics, Faculty of Automation and Computer Science, Technical University of Cluj-Napoca, Str. Memorandumului nr. 28, 400114 Cluj-Napoca, Romania;

关键词: positive linear operators;    estimates of differences of operators;    Baskakov operators;    MKZ-operators;    BBH-operators;    Kantorovich modifications;   

DOI  :  10.3390/math8050798

来源: DOAJ

【 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, the kth order Kantorovich modification of the Baskakov operators, the discrete operators associated with Baskakov operators, Meyer–König 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.

【 授权许可】

Unknown