Inequalities and Applications Conference on Inequalities and App
Inequalities continue to play an essential role in mathematics. Perhaps, they form the last field comprehended and used by mathematicians in all areas of the discipline. Since the seminal work Inequalities (1934) by Hardy, Littlewood and Pólya, mathematic
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ISNM International Series of Numerical Mathematics Volume 157 Managing Editors: K.-H. Hoffmann, Bonn D. Mittelmann, Tempe Associate Editors: R. E. Bank, La Jolla H. Kawarada, Chiba R. J. LeVeque, Seattle C. Verdi, Milano Honorary Editor: J. Todd, Pasadena
Inequalities and Applications Conference on Inequalities and Applications, Noszvaj (Hungary), September 2007
Catherine Bandle Attila Gilányi László Losonczi Zsolt Páles Michael Plum Editors
Birkhäuser Basel · Boston · Berlin
Editors: Catherine Bandle Institut Mathematik Universität Basel Rheinsprung 21 4051 Basel Switzerland Email: [email protected] László Losonczi Department Economic Analysis & Information Technology for Business University of Debrecen Kassai út.26 4028 Debrecen Hungary Email: [email protected]
Attila Gilányi Zsolt Páles Department of Analysis Institute Mathematics & Informatics University of Debrecen Pf. 12 4010 Debrecen Hungary Email: [email protected] [email protected] Michael Plum Institut für Analysis Universität Karlsruhe Kaiserstrasse 12 76128 Karlsruhe Germany Email: [email protected]
2000 Mathematics Subject Classification: 15-06, 15A39,15A42, 15A45, 26D05, 26D07, 26D10, 26D15, 26D20, 26E60, 30A10, 32A22, 34A40, 35J85, 35K85, 35L85, 35R45, 39B72, 41A17, 42A05, 47A30, 47A50, 47A63, 47J20, 49J40, 51M16, 52A40, 58E35, 60E15 Library of Congress Control Number: 2008935754 Bibliographic information published by Die Deutsche Bibliothek. Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at http://dnb.ddb.de
ISBN 978-3-7643-8772-3 Birkhäuser Verlag AG, Basel - Boston - Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. For any kind of use permission of the copyright owner must be obtained. © 2009 Birkhäuser Verlag AG Basel · Boston · Berlin P.O. Box 133, CH-4010 Basel, Switzerland Part of Springer Science+Business Media Printed on acid-free paper produced from chlorine-free pulp. TCF ∞ Printed in Germany ISBN 978-3-7643-8772-3 987654321
e-ISBN 978-3-7643-8773-0 www.birkhauser.ch
Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
ix
Abstracts of Talks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
xi
Problems and Remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xli List of Participants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xlvii Part I: Inequalities Related to Ordinary and Partial Differential Equations C. Bandle A Rayleigh-Faber-Krahn Inequalitiy and Some Monotonicity Properties for Eige
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