Strongly almost convergent generalized difference sequences associated with multiplier sequences |
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Authors: | Ayhan Esi Binod Chandra Tripathy |
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Affiliation: | (1) Department of Mathematics Science and Art Faculty, Adiyaman University, Adiyaman, 02040, Turkey;(2) Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Boragaon Garchuk, Guwahati, 781 035, India |
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Abstract: | Let Λ = (λ k ) be a sequence of non-zero complex numbers. In this paper we introduce the strongly almost convergent generalized difference sequence spaces associated with multiplier sequences i.e. w 0[A,Δ m ,Λ,p], w 1[A,Λ m ,Λ,p], w ∞[A,Δ m ,Λ,p] and study their different properties. We also introduce Δ Λ m -statistically convergent sequences and give some inclusion relations between w 1[Δ m ,λ,p] convergence and Δ Λ m -statistical convergence. Communicated by Pavel Kostyrko |
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Keywords: | multiplier sequence paranorm regular matrix difference sequence statistical convergence |
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