Some Fuzzy Korovkin type Approximation Theorems via Power Series Summability Method

Behar Baxhaku; Purshottam Narain Agrawal; Rahul Shukla

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arXiv · 2202.01898

Some Fuzzy Korovkin type Approximation Theorems via Power Series Summability Method

Behar Baxhaku·Purshottam Narain Agrawal·Rahul Shukla

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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).

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Behar Baxhaku, Purshottam Narain Agrawal, Rahul Shukla. 2022-02-02. Some Fuzzy Korovkin type Approximation Theorems via Power Series Summability Method. https://arxiv.org/abs/2202.01898

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