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Applications of Tauberian theorem in Orlicz spaces of double difference sequences of fuzzy numbers
K. Raj, , A. Choudhary
Published in IOS Press
Volume: 35
Issue: 2
Pages: 2513 - 2524
In this paper we introduce and study some difference double sequence spaces of fuzzy numbers by using Hausdorff metric associated with sequence of Orlicz functions. We make an effort to study some algebraic, topological properties and inclusion relations between these sequence spaces. We show that the new formed sequence spaces are complete with respect to the metric D M, Δ m, p, u (x, y). Finally, we establish some relation between Δ r -statistically convergent and Δ r -statistically (C, 1, 1) summable double sequences of fuzzy numbers under the slowly oscillating and statistically slowly oscillating conditions in certain sense, respectively. © 2018 - IOS Press and the authors. All rights reserved.
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