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A Generalized Theorem on Double Absolute Factorable Matrix Summability |
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PP: 315-322 |
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doi:10.18576/amis/160219
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Author(s) |
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Smita Sonker,
Bidu Bhusan Jena,
Rozy Jindal,
Susanta Kumar Paikray,
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Abstract |
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| 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. |
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