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Means in Mathematical Analysis

Bivariate Means

  • 1st Edition - September 14, 2017
  • Latest edition
  • Authors: Gheorghe Toader, Iulia Costin
  • Language: English

Means in Mathematical Analysis addresses developments in global analysis, non-linear analysis, and the many problems of associated fields, including dynamical systems, ergodic t… Read more

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Description

Means in Mathematical Analysis addresses 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 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. It deals with the fundamental interplay of nonlinear analysis with other headline domains, particularly geometry and analytic number theory, within the mathematical sciences.

Key features

  • Reviews double sequences defined with two arbitrary means, aiding digestion, analysis and prospective research
  • Provides exact solutions on bounds, inequalities and 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

Readership

Graduate and first year PhD students interested in arithmetic-geometric means and applied analysis

Table of contents

Introduction

1. Classical Theory of the AGM

2. Means

3. Double Sequences

4. Integral Means

References

List of Symbols

Subject Indes

Review quotes

"This is a very specialized monograph. ...Much of this book is devoted to means. It develops some general properties of means as well as properties of many specific means that are useful with double sequences. It then develops properties of double sequences, especially speed of convergence. This is done both for general sequences and for particular choices of mean."—MAA Reviews

Product details

  • Edition: 1
  • Latest edition
  • Published: September 18, 2017
  • Language: English

About the authors

GT

Gheorghe Toader

Gheorghe Toader was born in Romania in 1945, but deferred research until 1980 when he defended his PhD thesis, and served as Professor at the Department of Mathematics of the Technical University of Cluj-Napoca until retirement. From 1970 he has been a referee of Zentralblatt fur Mathematik and since 2007 was in the Editorial Board of Journal of Mathematical Inequalities. He published more than 70 papers related to the subject of this book. Toader sadly passed away in early 2016.

IC

Iulia Costin

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 Senior Lecturer at the Computer Science Department of Technical University of Cluj-Napoca. She has published more than 30 papers related to the subject of this book.
Affiliations and expertise
Senior Lecturer, Computer Science Department, Technical University of Cluj-Napoca, Romania

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