Approximation by Durrmeyer type Exponential Sampling Series

In this article, we analyze the approximation properties of the new family of Durrmeyer type exponential sampling operators. We derive the point-wise and uniform approximation theorem and Voronovskaya type theorem for these generalized family of operators. Further, we construct a convex type linear...

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Bibliographic Details
Main Authors Bajpeyi, Shivam, Kumar, A. Sathish
Format Journal Article
LanguageEnglish
Published 09.08.2020
Subjects
Mathematics - Functional Analysis
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Summary:In this article, we analyze the approximation properties of the new family of Durrmeyer type exponential sampling operators. We derive the point-wise and uniform approximation theorem and Voronovskaya type theorem for these generalized family of operators. Further, we construct a convex type linear combination of these operators and establish the better approximation results. Finally, we provide few examples of the kernel functions to which the presented theory can be applied along with the graphical representation.
DOI:10.48550/arxiv.2008.03771