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20172022
most citedOn Approximation by Kantorovich Exponential Sampling Operators

3 citations · 5 across the 7 of their papers we have counts for

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7 papers

math.FA2022★ 1 cited

Certain Approximation Results for Kantorovich Exponential Sampling Series

Shivam Bajpeyi, A. Sathish Kumar, P. Devaraj

In this paper, we study a strong inverse approximation theorem and saturation order for the family of Kantorovich exponential sampling operators. The class of log-uniformly continu…

math.FA2021

Approximation of discontinuous functions by Kantorovich exponential sampling series

A. Sathish Kumar, Prashant Kumar, P. Devaraj

The Kantorovich exponential sampling series at jump discontinuities of the bounded measurable signal f has been analysed. A representation lemma for the series is established and u…

math.FA2020★ 1 cited

Approximation by Durrmeyer type Exponential Sampling Series

Shivam Bajpeyi, A. Sathish Kumar

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 theo…

math.FA2020★ 3 cited

On Approximation by Kantorovich Exponential Sampling Operators

B. Shivam, A. Sathish Kumar

In this article, we analyse the Kantorovich type exponential sampling operators and its linear combination. We derive the Voronovskaya type theorem and its quantitative estimates f…

math.NA2019

Approximation by Exponential Type Neural Network Operators

S. Bajpeyi, A. Sathish Kumar

In the present article, we introduce and study the behaviour of the new family of exponential type neural network operators activated by the sigmoidal functions. We establish the p…

math.NA2019

Inverse approximation and GBS of bivariate Kantorovich type sampling series

A. Sathish Kumar, Bajpeyi Shivam

In this paper, we derive an inverse result for bivariate Kantorovich type sampling series for the space of all continuous functions with upto second order partial derivatives are c…