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September 2018 Double absolute indexed matrix summability with its applications
B. B. Jena, S. K. Paikray, U. K. Misra
Tbilisi Math. J. 11(4): 1-18 (September 2018). DOI: 10.32513/tbilisi/1546570881

Abstract

The well established theory of summability of simple series has been brought to a high degree of development; however the extension of this theory to multiple series is still in its infancy. As regards to the double series, in the proposed paper a result on absolute indexed matrix summability with an additional parameter of doubly infinite lower triangular matrix has been established that generalizes a theorem of E. Savaş and B. E. Rhoades [10] (see E. Savaş and B. E. Rhoades, Double absolute summability factor theorems and applications, Nonlinear Anal. 69 (2008), 189-200). Furthermore, some concluding remarks and applications are presented in support of our result.

Citation

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B. B. Jena. S. K. Paikray. U. K. Misra. "Double absolute indexed matrix summability with its applications." Tbilisi Math. J. 11 (4) 1 - 18, September 2018. https://doi.org/10.32513/tbilisi/1546570881

Information

Received: 4 August 2017; Accepted: 18 June 2018; Published: September 2018
First available in Project Euclid: 4 January 2019

zbMATH: 07172284
MathSciNet: MR3954203
Digital Object Identifier: 10.32513/tbilisi/1546570881

Subjects:
Primary: 40F05
Secondary: 40D25

Rights: Copyright © 2018 Tbilisi Centre for Mathematical Sciences

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Vol.11 • No. 4 • September 2018
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