By P.N. Natarajan
This e-book provides effects approximately definite summability equipment, corresponding to the Abel approach, the Norlund technique, the Weighted suggest process, the Euler approach and the Natarajan technique, that have now not seemed in lots of average books. It proves a couple of effects at the Cauchy multiplication of definite summable sequence and a few product theorems. It additionally proves a couple of 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 countless matrices. The Norlund process, the Weighted suggest strategy and the Natarajan strategy for double sequences also are mentioned within the context of the recent definition. Divided into six chapters, the ebook vitamins the cloth 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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