A GENERALIZATION OF ORLICZ SEQUENCE SPACES DERIVED BY QUADRUPLE SEQUENTIAL BAND MATRIX

Salila Dutta; Nilambar Tripathy

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

Volume 17, Issue 1 Pages 183-198 April 30, 2021 255 downloads

Article overview

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 functionFour band matrixLambda matrix$AK$-space$BK$-space.

AMS Subject Classification

40A05, 40C05, 46A45, 46B45.

Reference information

How to Cite

Salila Dutta, Nilambar Tripathy (2021). A GENERALIZATION OF ORLICZ SEQUENCE SPACES DERIVED BY QUADRUPLE SEQUENTIAL BAND MATRIX. South East Asian Journal of Mathematics and Mathematical Sciences, 17(1), 183-198.

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