By P.N. Natarajan
This publication provides effects approximately convinced summability tools, corresponding to the Abel process, the Norlund procedure, the Weighted suggest technique, the Euler strategy and the Natarajan process, that have now not seemed in lots of typical 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 sort 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 technique, the Weighted suggest approach and the Natarajan procedure for double sequences also are mentioned within the context of the hot 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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Classical Summability Theory by P.N. Natarajan