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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…