On deferred statistical A-convergence of fuzzy sequence and applications

Nayak, L.; Mursaleen, M.; Baliarsingh, P.

doi:10.22111/ijfs.2022.6794

On deferred statistical A-convergence of fuzzy sequence and applications

Document Type : Research Paper

Authors

¹ Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial Technology, Bhubaneswar-751024, India

² Al-Qaryah, Street No. 1 (West), Doharra, Aligarh 202002, India

³ Institute of Mathematics and Applications, Bhubaneswar-751029, Odisha, India

10.22111/ijfs.2022.6794

Abstract

This paper introduces the idea of deferred-statistical A-convergence of order β of the sequence of fuzzy numbers by using a regular matrix Aand deferred Ces\`{a}ro mean $D_{p,q}$. Also, we establish some relations between the proposed idea and the strong deferred A-summability of sequences of fuzzy numbers. As an application, we apply this newly statistical convergence for proving fuzzy Korovkin-type approximation theorem. Some illustrative examples are provided to justify the results obtained from this investigation.

Keywords