2014Journal of Inequalities and ApplicationsOpen access

On generalized sequence spaces via modulus function

Ekrem Savaș

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Abstract

In this paper, we introduce and study the concept of lacunary strongly -convergence with respect to a modulus function and lacunary -statistical convergence and examine some properties of these sequence spaces. We establish some connections between lacunary strongly -convergence and lacunary -statistical convergence. MSC:40H05, 40C05.

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In this paper, we introduce and study the concept of lacunary strongly -convergence with respect to a modulus function and lacunary -statistical convergence and examine some properties of these sequence spaces. We establish some connections between lacunary strongly -convergence and lacunary -statistical convergence. MSC:40H05, 40C05.

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Available abstract

In this paper, we introduce and study the concept of lacunary strongly -convergence with respect to a modulus function and lacunary -statistical convergence and examine some properties of these sequence spaces. We establish some connections between lacunary strongly -convergence and lacunary -statistical convergence. MSC:40H05, 40C05.

Key concepts: Lacunary function, Mathematics, Modulo operation, Sequence (biology), Convergence (economics), Function (biology), Modulus of continuity, Modes of convergence (annotated index)

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