1 citations · 1 across the 8 of their papers we have counts for
8 papers
Approximation by Neural Network Sampling Operators in Mixed Lebesgue Spaces
Arpan Kumar Dey, A. Sathish Kumar, P. Devaraj
In this paper, we prove the rate of approximation for the Neural Network Sampling Operators activated by sigmoidal functions with mixed Lebesgue norm in terms of averaged modulus o…
On Riesz duals for the Gabor system on LCA groups
S. Arati, P. Devaraj
In this paper, we analyse the circumstances in which the adjoint Gabor system is an R-dual of a given Gabor frame in the context of separable uniform time-frequency lattices in loc…
Certain Approximation Results for Kantorovich Exponential Sampling Series
Shivam Bajpeyi, A. Sathish Kumar, P. Devaraj
In this paper, we study a strong inverse approximation theorem and saturation order for the family of Kantorovich exponential sampling operators. The class of log-uniformly continu…
Random average sampling and reconstruction in shift-invariant subspaces of mixed Lebesgue spaces
Ankush Kumar Garg, S. Arati, P. Devaraj
In this paper, the problem of reconstruction of signals in mixed Lebesgue spaces from their random average samples has been studied. Probabilistic sampling inequalities for certain…
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…