\lambda -Statistical convergence of fuzzy numbers and fuzzy functions of order \theta |
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Authors: | P D Srivastava Sarita Ojha |
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Affiliation: | 1. Department of Mathematics, Indian Institute of Technology, Kharagpur, 721302, West Bengal, India
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Abstract: | In this paper, we introduce the concept of $\lambda $ -statistical convergence of order $\theta $ and strong $\lambda $ -summability of order $\theta $ for the sequence of fuzzy numbers. Further the same concept is extended to the sequence of fuzzy functions and introduce the spaces like $S_\lambda ^\theta (\hat{f})$ and $\omega _{\lambda p} ^\theta (\hat{f})$ . Some inclusion relations in those spaces and also the underlying relation between these two spaces are also obtained. |
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