Browsing by Author "Yapali, R"
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Item Lacunary statistical convergence on L-fuzzy normed spaceYapali, R; Korkmaz, E; Çinar, M; Çoskun, HThe idea of lacunary statistical convergence sequences, which is a development of statistical convergence, is examined and expanded in this study on L-fuzzy normed spaces, which is a generalization of fuzzy spaces. On L-fuzzy normed spaces, the definitions of lacunary statistical Cauchy and completeness, as well as associated theorems, are provided. The link between lacunary statistical Cauchyness and lacunary statistical boundedness with regard to L-fuzzy norm is also shown.Item Tauberian conditions for double sequences which are statistically summable (C,1,1) in fuzzy number spaceYapali, R; Talo, ÖIn this paper, we introduce the concept of statistical summability (C,1,1) for double sequences in fuzzy number space E-n and also we give some Tauberian conditions for double sequences of fuzzy numbers that are statistically summable (C,1,1).Item Statistical convergence on L-fuzzy normed spaceYapali, R; Çoskun, H; Gürdal, UIn this paper, we study the concept of statistical convergence on L-fuzzy normed spaces. Then we give a useful characterization for statistically convergent sequences. Furthermore, we illustrate that our method of convergence is more general than the usual convergence on L-fuzzy normed spaces.