On deferred statistical A-convergence of fuzzy sequence and applications

Document Type : Research Paper


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


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.