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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.FA2019
Local average sampling and reconstruction with fundamental splines of fractional order
P. Devaraj, P. Massopust, S. Yugesh
We analyse sampling and average sampling techniques for fractional spline subspaces of Fractional B-splines are extensions of Schoenberg's polynomial s…
math.FA2018
Range of certain convolution operators and reconstruction from local averages
P. Devaraj
For a compactly supported absolutely continuous measure on having a density function equal to a finite linear combination of indicator functions of rectangles…