Exponential Bernstein-Durrmeyer operators

Garoiu, Ștefan-Lucian

doi:10.2478/gm-2024-0015

Abstract

In this paper we introduce an exponential variant of Bernstein-Durrmeyer operators. Regarding this new operators we obtain some convergence resultş a Voronovskaya type theorem and some quantitative estimates using the first order modulus of continuity and the second order modulus of smoothness and then the relation between them and K-functionals. Also we study their simultaneous approximation properties.

References

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Exponential Bernstein-Durrmeyer operators

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