Weighted Approximation By Max-Product Generalized Exponential Sampling Series
Functional Analysis
2024-09-25 v2 Numerical Analysis
Numerical Analysis
Abstract
In this article, we study the convergence behaviour of the classical generalized Max Product exponential sampling series in the weighted space of log-uniformly continuous and bounded functions. We derive basic convergence results for both the series and study the asymptotic convergence behaviour. Some quantitative approximation results have been obtained utilizing the notion of weighted logarithmic modulus of continuity.
Cite
@article{arxiv.2409.14884,
title = {Weighted Approximation By Max-Product Generalized Exponential Sampling Series},
author = {Satyaranjan Pradhan and Madan Mohan Soren},
journal= {arXiv preprint arXiv:2409.14884},
year = {2024}
}
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13 pages