Approximation of Discontinuous Signals by Exponential Sampling Series

2021/01/21 by Kumar, A. Sathish, Kumar, Prashant, Devaraj, P. · 1 citation
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2101.08544

Abstract

We analyse the behaviour of the exponential sampling series S_w^χf at jump discontinuity of the bounded signal f. We obtain a representation lemma that is used for analysing the series S_w^χf and we establish approximation of jump discontinuity functions by the series S_w^χf. The rate of approximation of the exponential sampling series S_w^χf is obtained in terms of logarithmic modulus of continuity of functions and the round-off and time-jitter errors are also studied. Finally we give some graphical representation of approximation of discontinuous functions by S_w^χf using suitable kernels.

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• Convergence analysis of max-product and max-min Durrmeyer-type exponential sampling operators in Mellin Orlicz space

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