Download Classical Summability Theory by P.N. Natarajan PDF

By P.N. Natarajan

This publication offers effects approximately yes summability equipment, comparable to the Abel process, the Norlund technique, the Weighted suggest procedure, the Euler technique and the Natarajan procedure, that have no longer seemed in lots of average books. It proves a number of effects at the Cauchy multiplication of yes summable sequence and a few product theorems. It additionally proves a few Steinhaus variety 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 technique and the Natarajan procedure for double sequences also are mentioned within the context of the recent 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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