Download e-book for kindle: Classical Summability Theory by P.N. Natarajan

By P.N. Natarajan

ISBN-10: 9811042047

ISBN-13: 9789811042041

This booklet offers effects approximately yes summability tools, similar to the Abel process, the Norlund procedure, the Weighted suggest procedure, the Euler procedure and the Natarajan technique, that have no longer seemed in lots of normal books. It proves a number of effects at the Cauchy multiplication of yes summable sequence and a few product theorems. It additionally proves a couple of 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 countless matrices. The Norlund strategy, the Weighted suggest procedure and the Natarajan procedure for double sequences also are mentioned within the context of the hot definition. Divided into six chapters, the publication vitamins the fabric 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

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