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SOME NEW TYPE OF DIFFERENCE SEQUENCE SPACES DEFINED BY MODULUS FUNCTION AND STATISTICAL CONVERGENCE
Authors:Ayhan Esi  Binod Chandra Tripathy
Institution:Ayhan Esi(Adiyaman University,Turkey)Binod Chandra Tripathy(Institute of Advanced Study in Science and Technology,India)
Abstract:In this article we introduce the difference sequence spaces W 0 f,Δm ],W 1 f,Δm ],W∞f,Δm ] and Sf,Δm ],defined by a modulus function f.We obtain a relation between W 1 f,Δm ] ∩l∞f,Δm ] and Sf,Δm ] ∩l∞f,Δm ] and prove some inclusion results.
Keywords:strongly Cesàro summable sequence  modulus function  statistical convergence
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