- Turkish Journal of Mathematics and Computer Science
- Vol: 14 Issue: 2
- Some Results Related to New Jordan Totient Double Sequence Spaces
Some Results Related to New Jordan Totient Double Sequence Spaces
Authors : Sezer ERDEM, Serkan DEMİRİZ
Pages : 271-280
Doi:10.47000/tjmcs.1007927
View : 6 | Download : 4
Publication Date : 2022-12-30
Article Type : Research
Abstract :The 4 dimensional (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 $\\alpha$-, $\\beta(bp)$- 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