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.
Primary Language | English |
---|---|
Subjects | Mathematical Sciences |
Journal Section | Articles |
Authors | |
Early Pub Date | December 23, 2022 |
Publication Date | December 30, 2022 |
Published in Issue | Year 2022 Volume: 14 Issue: 2 |