3 papers
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.FA2021
Approximation of Discontinuous Signals by Exponential Sampling Series
A. Sathish Kumar, Prashant Kumar, P. Devaraj
We analyse the behaviour of the exponential sampling series at jump discontinuity of the bounded signal We obtain a representation lemma that is used for analysing…
math.FA2020
On Bivariate Kantorovich Exponential Sampling Series
Prashant Kumar, A. Sathish Kumar, Shivam Bajpyei
We analyse the approximation properties of the bivariate generalization of the family of Kantorovich type exponential sampling series. We derive the point-wise and Voronovskaya typ…