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Inequalities and Applications ’10. Dedicated to the memory of Wolfgang Walter. Selected papers of the 2nd conference on inequalities and applications, Hajdúszoboszló, Hungary, September 19–25, 2010. (English) Zbl 1241.26002

ISNM. International Series of Numerical Mathematics 161. Basel: Birkhäuser (ISBN 978-3-0348-0248-2/hbk; 978-3-0348-0249-9/ebook). lxx, 273 p. (2012).

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The book under review contains some contributions of the participants of the second of the two “Conferences on Inequalities and Applications” that took place in Hajdúszoboszló in September 2010, as well as other invited articles. These conferences are intended as continuations of the “General Inequalities” meetings which were held nine times between 1976 and 2007. The first seven of those meetings were held in Oberwolfach between 1976 and 1995 and were organized by Wolfgang Walter (1927–2010), whose 1970 book on differential and integral inequalities is considered a real breakthrough that is responsible for generating a lot of interest and research in the field. It is for these and many other contributions of Walter to the field that the book is dedicated to him.
The book starts with a 23-page article written (in German) in memory of Walter. Then a chapter is devoted to the abstracts of the talks of the participants of the conference, together with some problems addressed to researchers, instructors, and even students. The rest of the book is divided into six parts devoted to (1) boundary value problems, (2) numerical methods, (3) geometric and norm inequalities, (4) generalized convexity, (5) convexity and related inequalities, and (6) other equations and inequalities. Each of these six parts consists of three to four papers, each of which deserves a separate review on its own.

MSC:

26-06 Proceedings, conferences, collections, etc. pertaining to real functions
01A70 Biographies, obituaries, personalia, bibliographies
15-06 Proceedings, conferences, collections, etc. pertaining to linear algebra
39-06 Proceedings, conferences, collections, etc. pertaining to difference and functional equations
46-06 Proceedings, conferences, collections, etc. pertaining to functional analysis
47-06 Proceedings, conferences, collections, etc. pertaining to operator theory
26Dxx Inequalities in real analysis
15A39 Linear inequalities of matrices
39Bxx Functional equations and inequalities
46Bxx Normed linear spaces and Banach spaces; Banach lattices
47A30 Norms (inequalities, more than one norm, etc.) of linear operators
00B25 Proceedings of conferences of miscellaneous specific interest

Biographic References:

Walter, Wolfgang
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