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Öğe Almost statistical convergence of order ? of sequences of fuzzy numbers(Springer Verlag, 2016) Karakas, Abdulkadir; Altin, Yavuz; Altinok, HifsiIn this article, we introduce the concepts of almost ?-statistical convergence of order ? and strongly almost ?p-summability of order ? for sequences of fuzzy numbers. Also, we establish some relations between the almost ?-statistical convergence of order ? and strongly almost ?p-summability of order ? and we define w^??(F,f,p), where f is a modulus function and give some inclusion relations. © 2015, Springer-Verlag Berlin Heidelberg.Öğe Generalized Statistical Convergence of order ? for Sequences of Fuzzy Numbers(Amer Inst Physics, 2018) Altinok, Hifsi; Karakas, Abdulkadir; Altin, YavuzIn the present paper, we introduce the concepts of Delta(m)-statistical convergence of order beta for sequences of fuzzy numbers and strongly Delta(m)-summable of order beta for sequences of fuzzy numbers by using a modulus function f and taking supremum on metric d for 0 < beta <= 1 and give some inclusion relations between them.Öğe On some topological properties of a new type difference sequence spaces(Amer Inst Physics, 2015) Karakas, Abdulkadir; Altin, Yavuz; Et, MikailWe define the sequence spaces l(infinity) (Delta(p)), c (Delta(p)) and c(0) (Delta(p)), give some topological properties and inclusion relations of these sequence spaces.Öğe ?pm-Statistical Convergence of Order ?(Amer Inst Physics, 2017) Karakas, Abdulkadir; Altin, Yavuz; Et, MikailIn this study using the generalized difference operator Delta(m), we generalize the concepts of statistical convergence sequences of order a and statistical Cauchy sequences of order alpha. It is shown that, Delta(m)(p)-statistically convergent sequences of order a and Delta(m)(p)-statistical Cauchy sequences of order a are equivalent.