By P.N. Natarajan
This booklet provides effects approximately sure summability tools, comparable to the Abel technique, the Norlund technique, the Weighted suggest procedure, the Euler procedure and the Natarajan procedure, that have now not seemed in lots of regular books. It proves a number of effects at the Cauchy multiplication of sure summable sequence and a few product theorems. It additionally proves a few Steinhaus kind theorems. furthermore, it introduces a brand new definition of convergence of a double series and double sequence and proves the Silverman-Toeplitz theorem for 4-dimensional limitless matrices, in addition to Schur's and Steinhaus theorems for 4-dimensional limitless matrices. The Norlund process, the Weighted suggest process and the Natarajan technique for double sequences also are mentioned within the context of the hot definition. Divided into six chapters, the booklet supplementations the fabric already mentioned in G.H.Hardy's Divergent sequence. It appeals to younger researchers and skilled mathematicians who desire to discover new parts in Summability Theory..
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