By P.N. Natarajan
This e-book provides effects approximately sure summability tools, reminiscent of the Abel procedure, the Norlund strategy, the Weighted suggest strategy, the Euler technique and the Natarajan strategy, that have no longer seemed in lots of normal books. It proves a couple of effects at the Cauchy multiplication of sure summable sequence and a few product theorems. It additionally proves a couple of Steinhaus sort 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 countless matrices, in addition to Schur's and Steinhaus theorems for 4-dimensional limitless matrices. The Norlund process, the Weighted suggest process and the Natarajan procedure 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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Classical Summability Theory by P.N. Natarajan