| Isoperimetric Sandwiches and Approximation by Analytic and Harmonic Functions Contributor(s): Beneteau, Catherine (Author), Khavinson, Dmitry (Author) |
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ISBN: 1498756360 ISBN-13: 9781498756365 Publisher: CRC Press OUR PRICE: $85.45 Product Type: Hardcover Published: September 2024 This item may be ordered no more than 25 days prior to its publication date of September 30, 2024 |
| Additional Information |
| BISAC Categories: - Mathematics | Functional Analysis - Mathematics | Geometry - General - Mathematics | Differential Equations - General |
| Series: Chapman & Hall/CRC Monographs and Research Notes in Mathemat |
| Physical Information: 304 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |