Some Fuzzy Korovkin type Approximation Theorems via Power Series Summability Method
General Mathematics
2022-02-07 v1
Abstract
This article provides a power series summability based Korovkin type approximation theorem for any fuzzy sequence of positive linear operators. Using the notion of fuzzy modulus of smoothness, we also derive an associated approximation theorem concerning the fuzzy rate of convergence of these operators. Furthermore, through an example, we illustrate that our summability based Korovin type theorem is an advantage over the fuzzy Korovkin type theorem proved in the seminal paper by Anastassiou (Stud. Univ. Babe\c{s}-Bolyai Math. 4 (2005), 3--10).
Cite
@article{arxiv.2202.01898,
title = {Some Fuzzy Korovkin type Approximation Theorems via Power Series Summability Method},
author = {Behar Baxhaku and Purshottam Narain Agrawal and Rahul Shukla},
journal= {arXiv preprint arXiv:2202.01898},
year = {2022}
}