Approximation by generalized Kantorovich sampling type series
Classical Analysis and ODEs
2017-09-12 v1
Abstract
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 Kantorovich generalized sampling series and a corresponding quantitative version in terms of the first order of modulus of continuity. Further, we study the order of approximation in (the set of all uniformly continuous and bounded functions on ) for the family Finally, we give some examples of kernels such as B-spline kernels and Blackman-Harris kernel to which the theory can be applied.
Keywords
Cite
@article{arxiv.1709.03274,
title = {Approximation by generalized Kantorovich sampling type series},
author = {A. Sathish Kumar and P. Devaraj},
journal= {arXiv preprint arXiv:1709.03274},
year = {2017}
}