Affiliation:
1. TOKAT GAZİOSMANPAŞA ÜNİVERSİTESİ FEN BİLİMLERİ ENSTİTÜSÜ
2. TOKAT GAZİOSMANPAŞA ÜNİVERSİTESİ
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.
Publisher
Turkish Journal of Mathematics and Computer Science, Association of Mathematicians
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