Commutativity and spectral properties for a general class of Szasz-Mirakjan-Durrmeyer operators
Ulrich Abel, Ana Maria Acu, Margareta Heilmann, Ioan Rasa
TL;DR
This paper explores the commutativity and spectral properties of a broad class of Szasz-Mirakjan-Durrmeyer operators, revealing their eigenfunctions and algebraic interactions.
Contribution
It introduces new commutativity results and spectral analyses for generalized Szasz-Mirakjan-Durrmeyer operators and their related differential operators.
Findings
Established commutativity between operators.
Identified eigenfunctions of the operators.
Analyzed spectral properties and implications.
Abstract
In this paper we present commutativity results for a general class of Szasz-Mirakjan-Durrmeyer type operators and associated differential operators and investigate their eigenfunctions.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Holomorphic and Operator Theory · Advanced Harmonic Analysis Research