Means in Mathematical Analysis

Introduction

1. Classical Theory of the AGM

2. Means

3. Double Sequences

4. Integral Means

References

List of Symbols

Subject Indes

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.

• 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

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