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Problemy Analiza — Issues of Analysis, 2022, Volume 11(29), Issue 3, Pages 91–108
DOI: https://doi.org/10.15393/j3.art.2022.11770 (Mi pa362) 		 
This article is cited in 1 scientific paper (total 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
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DOI: https://doi.org/10.15393/j3.art.2022.11770
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.
Received: 26.04.2022
Revised: 20.09.2022
Accepted: 23.09.2022
Bibliographic databases:
Document Type: Article
UDC: 517.521
MSC: 40A05, 40A30, 46S40, 47S40
Language: English
Citation: Kuldip Raj, Kavita Saini, M. Mursaleen, “Applications of the fractional difference operator for studying Euler statistical convergence of sequences of fuzzy real numbers and associated Korovkin-type theorems”, Probl. Anal. Issues Anal., 11(29):3 (2022), 91–108
Citation in format AMSBIB
\Bibitem{RajSaiMur22}
\by Kuldip~Raj, Kavita~Saini, M.~Mursaleen
\paper Applications of the fractional difference operator for studying Euler statistical convergence of sequences of fuzzy real numbers and associated Korovkin-type theorems
\jour Probl. Anal. Issues Anal.
\yr 2022
\vol 11(29)
\issue 3
\pages 91--108
\mathnet{http://mi.mathnet.ru/pa362}
\crossref{https://doi.org/10.15393/j3.art.2022.11770}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4507775}
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