In this article, the new sequence space $\tilde{\mathcal{M}}_u^q$ is acquainted, described as the domain of the 4d (4-dimensional) $q$-Cesaro matrix operator, which is the $q$-analogue of the first order 4d Cesaro matrix operator, on the space of bounded double sequences. In the continuation of the study, the completeness of the new space is given, and the inclusion relation related to the space is presented. In the last two parts, the duals of the space are determined, and some matrix classes are acquired.
Primary Language | English |
---|---|
Subjects | Mathematical Methods and Special Functions |
Journal Section | Articles |
Authors | |
Early Pub Date | July 15, 2024 |
Publication Date | September 24, 2024 |
Submission Date | May 29, 2024 |
Acceptance Date | July 10, 2024 |
Published in Issue | Year 2024 Volume: 12 Issue: 3 |
The published articles in MSAEN are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.