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

Margareta Heilmann

doi:10.33993/jnaat442-1078

Authors

Margareta Heilmann University of Wuppertal, Germany

DOI:

https://doi.org/10.33993/jnaat442-1078

Keywords:

Positive linear operators, Durrmeyer type operators, Kantorovich type modification, commutativity, differential operators, spectral properties.

Abstract views: 361

Abstract

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.

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References

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