SOME NEW BIQUADRATIC SEQUENCE SPACES OVER n-NORMED SPACES DEFINED BY MUSIELAK-ORLICZ FUNCTION


By

Aradhana Verma1 and Sudhir Kumar Srivastava2

Department of Mathematics & Statistics, Deen Dayal Upadhyaya Gorakhpur University, Gorakhpur-273009, Uttar Pradesh, India Email:1aradhana2301@yahoo.com,2sudhirpr66@rediffmail.com

(Received : January 14, 2022, In format : January 24, 2022; Revised in final form : February 28,2022)


Abstract

In this paper, we construct some new biquadratic sequence spaces using orlicz function defined by Musielak-Orlicz over n-normed spaces. We study some topological properties and inclusion relations between these spaces.


2020 Mathematical Sciences Classification: 40A05, 46A45, 46E30.

Keywords and Phrases: Orlicz function, Musielak-Orlicz function, Paranorm space, n-normed spaces



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