Some Results Related to New Jordan Totient Double Sequence Spaces

Authors : Sezer ERDEM, Serkan DEMİRİZ

Pages : 271-280

Doi:10.47000/tjmcs.1007927

View : 17 | Download : 9

Publication Date : 2022-12-30

Article Type : Research Paper

Abstract :The 4 dimensional insert ignore into journalissuearticles values(4d); Jordan totient matrix which is described by the aid of the famous Jordan\`s function and some new Jordan totient double sequence spaces described as the domain of this aforementioned matrix have been examined by Erdem and Demiriz . In the present paper, first of all we define two new double sequence spaces by using the 4d Jordan totient matrix and we show that this newly described double sequence spaces are Banach spaces with their norm. Then, we give some inclusion relations including this spaces. Moreover, we compute the $\\alpha$-, $\\betainsert ignore into journalissuearticles values(bp);$- and $\\gamma$-duals and finally, we characterize some new 4d matrix transformation classes and complete this work with some significant results.
Keywords : Jordan\`s function, domain of 4d matrix, duals, matrix classes