Isoperimetric Sandwiches and Approximation by Analytic and Harmonic Functions Hardback
by Catherine (University of South Florida, Tampa, USA) Beneteau, Dmitry (University of South Florida, Tampa, USA) Khavinson
Part of the Chapman & Hall/CRC Monographs and Research Notes in Mathematics series
Hardback
Description
The book focuses on a number of results and open problems dealing with a wide variety of isoperimetric inequalities. , this approach can be characterized by a recently coined term "sandwiches".
A certain quantity is introduced, usually as a degree of approximation to a given simple function, e.g., z* , |x|^2, by either analytic or harmonic functions in some norm.
Then, the estimates from below and above of the approximate distance are obtained in terms of simple geometric characteristics of the set, e.g., area, perimeter, capacity, etc.
The resulting "sandwich" yields the isoperimetric inequality.
Information
-
Coming Soon
- Format:Hardback
- Pages:304 pages, 30 Illustrations, black and white
- Publisher:Taylor & Francis Inc
- Publication Date:31/08/2026
- Category:
- ISBN:9781498756365
Information
-
Coming Soon
- Format:Hardback
- Pages:304 pages, 30 Illustrations, black and white
- Publisher:Taylor & Francis Inc
- Publication Date:31/08/2026
- Category:
- ISBN:9781498756365
