Applied analysis and functional analysis

Cristian Octav Olteanu

ISBN 10: 3659711926 / ISBN 13: 9783659711923

Verlag: LAP LAMBERT Academic Publishing, 2015

Applied analysis and functional analysis | Cristian Octav Olteanu | Taschenbuch | 84 S. | Englisch | 2015 | LAP LAMBERT Academic Publishing | EAN 9783659711923 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Bestandsnummer des Verkäufers 104629568

Inhaltsangabe:

This book contains four chapters. The first one is devoted to Markov moment problem and its applications. It contains polynomial approximation results on some unbounded subsets, the link to extreme points and to Krein - Milman theorem, truncated and full moment problems, inverse problems solved starting from the moments. Solving the multidimensional Markov moment problem in terms of quadratic forms is deduced. Theorems based on an earlier result on convex distanced subsets are presented too. The second chapter studies some special functional and operatorial equations, in the real and in the complex settings. Approximation of analytic solutions is also discussed. The third chapter is devoted to convexity and approximating the perimeter of an ellipse by means of an alternate series. Minimal length surrounding curves and minimal area surrounding surfaces are also discussed. The fourth chapter recalls a variant of Newton's method for convex monotone operators. Applications in approximating of the solutions of concrete scalar and operatorial equations are deduced. The book is useful for any reader interested in these fields or in applications of analysis.

Über die Autorin bzw. den Autor: 1969-1974 - Faculty of Mathematics, University of Bucharest. 1983 - Ph.D in Mathematics. Title of the Thesis: "Extension theorems of some linear operators". 1999 - Full Professor, Department of Mathematics - Informatics, University Politehnica of Bucharest. 1992: TEMPUS Travel Grant (Copenhagen and Paris). Publications: 68 papers, 10 books.

Bibliografische Details

Titel: Applied analysis and functional analysis
Verlag: LAP LAMBERT Academic Publishing
Erscheinungsdatum: 2015
Einband: Taschenbuch
Zustand: Neu