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arXiv · 1909.06807

Direct and inverse results for Kantorovich type exponential sampling series

Sathish Kumar Angamuthu·Shivam Bajpeyi
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Abstract

In this article, we analyze the behaviour of the new family of Kantorovich type exponential sampling series. We obtain the point-wise approxi mation theorem and Voronovskaya type theorem for the series. Further, we obtain a representation formula and an inverse result approximation for these operators. Finally, we give some examples of kernel functions to which the theory can be applied along with the graphical representation.

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Sathish Kumar Angamuthu, Shivam Bajpeyi. 2020-02-07. Direct and inverse results for Kantorovich type exponential sampling series. https://arxiv.org/abs/1909.06807

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