Statistical Weighted Mean Summability of Double Sequences of Fuzzy Numbers

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2021

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In this paper, we present statistical weighted mean (briefly, (N, p, q, 1, 1)) summability method for double sequences of fuzzy numbers and give necessary and sufficient Tauberian conditions under which statistical convergence of a double sequence of fuzzy numbers follows from its statistical (N, p, q, 1, 1) summability. Furthermore, we apply our new method of summability to prove a fuzzy Korovkin type approximation theorem for a double sequence of fuzzy positive linear operators. © 2021, University of Nis. All rights reserved.

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