THE GENERALIZED NON-ABSOLUTE TYPE OF TRIPLE Γ3 SEQUENCE SPACES DEFINED MUSIELAK-ORLICZ FUNCTION

Shyamal Debnath, Nagarajan Subramanian

DOI Number
10.22190/FUMI1703413D
First page
413
Last page
420

Abstract


In this paper we introduce the notion of λmnk - Γ3 and Λ3 sequences. Further, we introduce the spaces hΓ3 fλ; k(d (x1; 0) ; d (x2; 0) ; · · · ; d (xn-1; 0))kpi
and hΛ3 fλ; k(d (x1; 0) ; d (x2; 0) ; · · · ; d (xn-1; 0))kpi ; which are of nonabsolute type and we prove that these spaces are linearly isomorphic
to the spaces Γ3 and Λ3; respectively. Moreover, we establish some
inclusion relations between these spaces.

Keywords

Analytic sequence, Γ3 space, difference sequence space, Musielak-Orlicz function, p-metric space.

Keywords


analytic sequence, Γ3 space, difference sequence space, Musielak - Orlicz function, p− metric space.

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References


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DOI: https://doi.org/10.22190/FUMI1703413D

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