Norm of matrix operator on Orlicz-binomial spaces and related operator ideal Article Swipe

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Taja Yaying , Bipan Hazarika , M. ‎Mursaleen ·

YOU? · · 2020 · Open Access · · DOI: https://doi.org/10.22436/jmcs.023.04.07 · OA: W3107412448

The purpose of this article is to introduce Orlicz extension of binomial sequence spaces b r,s ϕ and investigate some topological and inclusion properties of the new spaces.We give an upper estimation of A ϕ ,b r,s ϕ , where A is the Hausdorff matrix operator or N örlund matrix operator.A Hardy type formula is established in the case of Hausdorff matrix operator.Finally we introduce operator ideal using the space b r,s ϕ and the sequence of s-number function and prove its completeness under certain assumptions.