4 papers
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…
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…
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…
Approximation by generalized Kantorovich sampling type series
A. Sathish Kumar, P. Devaraj
In the present article, we analyse the behaviour of a new family of Kantorovich type sampling operators First, we give a Voronovskaya type theorem for these Kanto…