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 [10]
(see E. Savaş and B. E. Rhoades, Double absolute summability factor theorems and applications, Nonlinear Anal. 69 (2008), 189200).
Furthermore, some concluding remarks and applications are presented in support of our result.
Tbilisi Mathematical Journal, Vol. 11(4) (2018), pp. 118
