Means In Mathematical Analysis

Paperback | October 1, 2017

byIulia Costin

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Series Editor: Themistocles Rassias Editorial Board: Sever Dragomir, Soon-Mo Jung, Gradimir Milovanovic, Hari Srivastava This new series of highly specialized research monographs, introductory handbooks and selected multi-contributor reference works edited volumes , seeks to address developments in global analysis, non-linear analysis and the many problems of associated fields, including dynamical systems, ergodic theory, combinatorics, differential equations, approximation theory, analytic inequalities, functional equations, probability theory. The series comprises highly specialized research monographs written by eminent scientists, handbooks and selected multi-contributor reference works edited volumes , bringing together an extensive body of information This series presents pertinent interdisciplinary research progress in a variety of subject areas with Mathematical Analysis as a basis, addressing developments in global analysis, non-linear analysis and the many problems of associated fields, including dynamical systems, ergodic theory, combinatorics, differential equations, approximation theory, analytic inequalities, functional equations, and probability theory The series deals with the fundamental interplay of nonlinear analysis with other headline domains particularly geometry and analytic number theory within the mathematical sciences Reviews double sequences defined with two arbitrary means, aiding digestion, analysis and prospective research in this complex topic for beginning researchers Provides exact solutions on bounds, inequalities, approximations for researchers interrogating means across physical and statistical problems Places the current state of means in mathematical analysis alongside its storied and impressive history together with future perspectives and currently unanswered problems, presenting a panorama of knowledge for interested readers

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From the Publisher

Series Editor: Themistocles Rassias Editorial Board: Sever Dragomir, Soon-Mo Jung, Gradimir Milovanovic, Hari Srivastava This new series of highly specialized research monographs, introductory handbooks and selected multi-contributor reference works edited volumes , seeks to address developments in global analysis, non-linear analysis ...

From the Jacket

The arithmetic-geometric mean of Gauss is one of the most fascinating themes of mathematical analysis with many open problems related particularly to iteration of means.Means in Mathematical Analysisdetails many interesting and up-to-date results related to arithmetic-geometric means aimed at motivating and preparing the graduate and f...

Iulia Costin was born in Romania in 1971. She graduated in 1994 from the Faculty of Mathematics and Informatics at "Babes-Bolyai" University in Cluj-Napoca. She defended in 2001 her PhD thesis with the title "The usage of symbolic calculus in the study of means and double sequences", in the same field as this book. Currently she is a S...
Format:PaperbackDimensions:320 pages, 8.75 × 6.35 × 0.68 inPublished:October 1, 2017Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0128110805

ISBN - 13:9780128110805

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Table of Contents

1. Classical Theory of the AGM 2. Means 3. Double Sequences 4. Integral Means