Double absolute indexed matrix summability with its applications
B. B. Jena, S. K. Paikray, U. K. Misra
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 
(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.
Tbilisi Mathematical Journal, Vol. 11(4) (2018), pp. 1-18