Commutativity and spectral properties of genuine Baskakov-Durrmeyer type operators and their \(k\)th order Kantorovich modification

Journal of Numerical Analysis and Approximation Theory

Margareta Heilmann¹ 

[1] University of Wuppertal;

关键词: Positive linear operators;    Durrmeyer type operators;    Kantorovich type modification;    commutativity;    differential operators;    spectral properties.;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this paper we present an overview of commutativity results and different methods for the proofs for  Baskakov-Durrmeyer type operators and associated differential operators. We discuss the spectral properties and generalize all results to \(k\)th order Kantorovich modifications and corresponding Durrmeyer type variants of Bleimann, Butzer and Hahn operators and Meyer-Konig and Zeller operators.

【 授权许可】

Unknown