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Öğe NECESSARY CONDITIONS FOR ABSOLUTE DOUBLE MATRIX SUMMABILITY FACTORS(Akademiai Kiado Rt, 2011) Savas, Ekrem; Rhoades, B. E.We obtain necessary conditions for a doubly triangular matrix A to have the property that a double series Sigma Sigma lambda(mn)b(mn) mnbmn is summable vertical bar A vertical bar(k) whenever the series Sigma Sigma b(mn) is bounded vertical bar A vertical bar(k).Öğe On generalized A-difference strongly summable sequence spaces defined by ideal convergence on a real n-normed space(2012) Savas, EkremIn this article, we shall introduce a new class of ideal convergent (briefly I-convergent) sequence spaces using, infinite matrix, an Orlicz function and difference operator defined on n-normed spaces. We study these spaces for some linear topological structures and algebraic properties. We also give some relations related to these sequence spaces. © 2012 Savas.Öğe On I-lacunary statistical convergence of weight g of fuzzy numbers(Ios Press, 2017) Savas, EkremIn this paper, following a very recent and new approach of [1], we discuss a relation between two kinds of I-convergence of sequences, namely, I-statistical convergence of weight g and I-lacunary statistical convergence of weight g, where g : N -> [0, infinity) is a function satisfying lim(n ->infinity) g (n) = infinity and n/g(n) negated right arrow 0 as n -> infinity for fuzzy numbers. These methods are based on the methods of statistical convergence and lacunary Statistical summability for sequences. Analogs of inclusion and consistency theorems for the sequential methods are established.