Means in Mathematical Analysis
Bivariate Means

Comprehensive research monograph that discusses the relationship of means with the classical arithmetic-geometric mean of Gauss

Gheorghe Toader (Author), Iulia Costin (Author)

9780128110805, Elsevier Science

Paperback, published 18 September 2017

224 pages
22.9 x 15.1 x 1.5 cm, 0.34 kg

"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

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.

1. Classical Theory of the AGM2. Means3. Double Sequences4. Integral Means

Subject Areas: Applied mathematics [PBW]