By P.N. Natarajan
This publication offers effects approximately definite summability tools, comparable to the Abel approach, the Norlund approach, the Weighted suggest technique, the Euler process and the Natarajan technique, that have now not seemed in lots of general books. It proves a couple of effects at the Cauchy multiplication of convinced summable sequence and a few product theorems. It additionally proves a few Steinhaus style theorems. additionally, 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 endless matrices. The Norlund process, the Weighted suggest technique and the Natarajan process for double sequences also are mentioned within the context of the recent definition. Divided into six chapters, the booklet 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 components in Summability Theory..
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Classical Summability Theory by P.N. Natarajan