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portada Applied Summability Methods (Springerbriefs in Mathematics)
Type
Physical Book
Publisher
Year
2014
Language
English
Pages
124
Format
Paperback
ISBN13
9783319046082
Edition No.
2014
Categories

Applied Summability Methods (Springerbriefs in Mathematics)

M. Mursaleen (Author) · Springer · Paperback

Applied Summability Methods (Springerbriefs in Mathematics) - M. Mursaleen

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Synopsis "Applied Summability Methods (Springerbriefs in Mathematics) "

This short monograph is the first book to focus exclusively on the study of summability methods, which have become active areas of research in recent years. The book provides basic definitions of sequence spaces, matrix transformations, regular matrices and some special matrices, making the material accessible to mathematicians who are new to the subject. Among the core items covered are the proof of the Prime Number Theorem using Lambert's summability and Wiener's Tauberian theorem, some results on summability tests for singular points of an analytic function, and analytic continuation through Lototski summability. Almost summability is introduced to prove Korovkin-type approximation theorems and the last chapters feature statistical summability, statistical approximation, and some applications of summability methods in fixed point theorems.

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