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Mathematics > General Mathematics

arXiv:2202.01898 (math)
[Submitted on 2 Feb 2022]

Title:Some Fuzzy Korovkin type Approximation Theorems via Power Series Summability Method

Authors: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. Babeş-Bolyai Math. 4 (2005), 3--10).
Subjects: General Mathematics (math.GM)
MSC classes: 26E50, 41A36, 40C15, 40G10, 46S40
Cite as: arXiv:2202.01898 [math.GM]
  (or arXiv:2202.01898v1 [math.GM] for this version)
  https://doi.org/10.48550/arXiv.2202.01898

Submission history

From: Rahul Shukla [view email]
[v1] Wed, 2 Feb 2022 14:32:20 UTC (11 KB)
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