A GENERALIZATION OF ORLICZ SEQUENCE SPACES DERIVED BY QUADRUPLE SEQUENTIAL BAND MATRIX
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 141
DOI:
Author :
Salila Dutta (Department of Mathematics, Utkal Unversity, Vani Vihar, Bhubaneswar - 751004, Odisha, INDIA)
Nilambar Tripathy (Department of Mathematics, Utkal Unversity, Vani Vihar, Bhubaneswar - 751004, Odisha, INDIA)
Abstract
In this article we have introduced a new Orlicz sequence space $l_p^\lambda(M,B)$ derived by a quadruple sequential band matrix associated with an Orlicz function and lambda matrix. Further, we have studied some topological properties and inclusion relations of this space.
Keywords and Phrases
Orlicz function, Four band matrix, Lambda matrix, $AK$-space, $BK$-space.
A.M.S. subject classification
40A05, 40C05, 46A45, 46B45.
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