Strongly almost convergent generalized difference sequences associated with multiplier sequences |
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| Authors: | Ayhan Esi Binod Chandra Tripathy |
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| Institution: | (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
0A,Δ
m
,Λ,p], w
1A,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
1Δ
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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