A representation for the integral kernel of the composition of multivariate Bernstein-Durrmeyer operators
Ulrich Abel, Ana Maria Acu, Margareta Heilmann, Ioan Rasa
TL;DR
This paper introduces a new representation for the integral kernel of composed multivariate Bernstein-Durrmeyer operators, enhancing understanding of their structure for functions on the standard simplex.
Contribution
It provides a novel representation of the kernel for the composition of multivariate Bernstein-Durrmeyer operators, advancing theoretical insights.
Findings
New kernel representation for composed operators
Improved theoretical understanding of multivariate Bernstein-Durrmeyer operators
Potential applications in approximation theory
Abstract
This paper presents a representation for the kernel of the composition of multivariate Bernstein-Durrmeyer operators for functions defined on the standard simplex in .
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Holomorphic and Operator Theory · Advanced Algebra and Logic