A Generalized Theorem on Double Absolute Factorable Matrix Summability

Authors

Smita Sonker, Department of Mathematics, National Institute of Technology, Haryana 136119, IndiaFollow
Bidu Bhusan Jena, Department of Mathematics, Veer Surendra Sai University of Technology, Burla 768018, Odisha, IndiaFollow
Rozy Jindal, Department of Mathematics, National Institute of Technology, Haryana 136119, IndiaFollow
Susanta Kumar Paikray, Department of Mathematics, Veer Surendra Sai University of Technology, Burla 768018, Odisha, IndiaFollow

Author Country (or Countries)

India

Abstract

In this paper, we generalize a new result on absolute index double matrix summability. Dealing with $|A|_k$-summability, Sava\c{s} and Rhoades [E. Sava\c{s} and B. E. Rhoades, Nonlinear Anal. {\bf 69}, 189--200 (2008)], established a result on absolute indexed double matrix summability of infinite series which was generalized by Jena {\it et al.} [B. B. Jena, S. K. Paikray and U. K. Misra, Tbilisi Math. J. {\bf 11} , 1--18 (2018)], for $|A, \delta|_k$-summability. Here, we derive a new and more generalized result on $|U, \delta, \gamma|_q$-summability. Finally, we also highlight some important new and well-known results in the line of our findings in the conclusion section. We also suggest a direction for future researches on this subject towards application areas of science like a rectification of signals in FIR filter and IIR filter to speed of the rate of convergence.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160219

Recommended Citation

Sonker, Smita; Bhusan Jena, Bidu; Jindal, Rozy; and Kumar Paikray, Susanta (2022) "A Generalized Theorem on Double Absolute Factorable Matrix Summability," Applied Mathematics & Information Sciences: Vol. 16: Iss. 2, Article 19.
DOI: http://dx.doi.org/10.18576/amis/160219
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss2/19