On some generalized difference paranormed sequence spaces associated with multiplier sequence defined by modulus function |
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| Authors: | Binod Chandra Tripathy Prabhat Chandra |
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| Institution: | (1) Department of Mathematics, Firat University, 23119 Elazig, Turkey;(2) Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India |
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| Abstract: | In this article we introduce the paranormed sequence spaces (f, Λ, Δ
m
, p), c
0(f, Λ, Δ
m
, p) and ℓ
∞(f, Λ, Δ
m
, p), associated with the multiplier sequence Λ = (λ
k
), defined by a modulus function f. We study their different properties like solidness, symmetricity, completeness etc. and prove some inclusion results. |
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| Keywords: | paranorm solid space symmetric space difference sequence modulus function multiplier seuence |
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