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JOURNALS // Problemy Analiza — Issues of Analysis // Archive

Probl. Anal. Issues Anal., 2022 Volume 11(29), Issue 3, Pages 91–108 (Mi pa362)

This article is cited in 1 paper

Applications of the fractional difference operator for studying Euler statistical convergence of sequences of fuzzy real numbers and associated Korovkin-type theorems

Kuldip Raja, Kavita Sainia, M. Mursaleenbc

a School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J&K, India
b Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, Taiwan
c Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

Abstract: The present work focuses on the statistical Euler summability, Euler statistical convergence, and Euler summability of sequences of fuzzy real numbers via the generalized fractional difference operator. We make an effort to establish some relations between different sorts of Euler convergence. Further, we discuss the fuzzy continuity and demonstrate a fuzzy Korovkin-type approximation theorem. Finally, we study fuzzy rate of the convergence of approximating fuzzy positive linear operators through the modulus of continuity.

Keywords: Euler mean, sequences of fuzzy real numbers, statistical convergence, rate of convergence, approximation theorem.

UDC: 517.521

MSC: 40A05, 40A30, 46S40, 47S40

Received: 26.04.2022
Revised: 20.09.2022
Accepted: 23.09.2022

Language: English

DOI: 10.15393/j3.art.2022.11770



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