Inequalities and applications 2010 : dedicated to the memory of Wolfgang Walter
 Responsibility
 Catherine Bandle ... [et al.], editors.
 Language
 English.
 Imprint
 Basel ; London : Springer, c2012.
 Physical description
 lxx, 273 p. : ill ; 25 cm.
 Series
 International series of numerical mathematics ; v. 161.
Access
Creators/Contributors
 Contributor
 Bandle, Catherine, 1943
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 Part 1. Boundary Value Problems
 Domain Derivatives for Energy Functionals with Boundary Integrals / Catherine Bandle and Alfred Wagner
 The Asymptotic Shape of a Boundary Layer of Symmetric Willmore Surfaces of Revolution / HansChristoph Grunau
 A ComputerAssisted Uniqueness Proof for a Semilinear Elliptic Boundary Value Problem / Patrick J. McKenna, Filomena Pacella, Michael Plum and Dagmar Roth
 Green Function Estimates Lead to Neumann Function Estimates / Guido Sweers
 Part 2. Numerical Methods
 Deriving Inequalities in the LaguerrePólya Class from Properties of HalfPlane Mappings / Prashant Batra
 Fundamental Error Estimate Inequalities for the Tikhonov Regularization Using Reproducing Kernels / Luís P. Castro, Hiroshi Fujiwara, Saburou Saitoh, Yoshihiro Sawano and Akira Yamada, et al.
 On the ApproximationError of Some Numerical Methods for Obtaining the Optimal Deformable Model / Paulina Mitrea, Octavian Mircia Gurzău and Alexandru Ioan Mitrea
 Part 3. Geometric and Norm Inequalities
 The Longest Shortest Piercing / Bernd Kawohl and Vasilii V. Kurta
 On a Continuous Mapping and Sharp Triangle Inequalities / Tomoyoshi Ohwada
 A DunklWilliams Inequality and the Generalized Operator Version / KichiSuke Saito and Masaru Tominaga
 Part 4. Generalized Convexity
 Jordan Type Representation of Functions with Generalized High Order Bounded Variation / Gabriela Cristescu
 On Vector HermiteHadamard Differences Controlled by Their Scalar Counterparts / Roman Ger and Josip Pečarić
 Functions Generating Strongly SchurConvex Sums / Kazimierz Nikodem, Teresa Rajba and Szymon Wąsowicz
 Strongly Convex Sequences / Jacek Tabor, Józef Tabor and Marek Żołdak
 Part 5. Convexity and Related Inequalities
 Refinement of Inequalities Related to Convexity via Superquadracity, Weaksuperquadracity and Superterzacity / Shoshana Abramovich, Slavica Ivelić and Josip Pečarić
 On Two Different Concepts of Subquadraticity / Attila Gilányi, Csaba Gábor Kézi and Katarzyna TroczkaPawelec
 Connections Between the Jensen and the Chebychev Functionals / Flavia Corina Mitroi
 Part 6. Other Equations and Inequalities
 Functional Inequalities and Equivalences of Some Estimates / Włodzimierz Fechner
 On Measurable Functions Satisfying Multiplicative Type Functional Equations Almost Everywhere / Antal Járai, Károly Lajkó and Fruzsina Mészáros
 On the L1 Norm of the Weighted Maximal Function of WalshMarcinkiewicz Kernels / Károly Nagy
 Quasimonotonicity as a Tool for Differential and Functional Inequalities / Peter Volkmann.
 Publisher's Summary
 Inequalities arise as an essential component in various mathematical areas. Besides forming a highly important collection of tools, e.g. for proving analytic or stochastic theorems or for deriving error estimates in numerical mathematics, they constitute a challenging research field of their own. Inequalities also appear directly in mathematical models for applications in science, engineering, and economics. This edited volume covers divers aspects of this fascinating field. It addresses classical inequalities related to means or to convexity as well as inequalities arising in the field of ordinary and partial differential equations, like Sobolev or Hardytype inequalities, and inequalities occurring in geometrical contexts. Within the last five decades, the late Wolfgang Walter has made great contributions to the field of inequalities. His book on differential and integral inequalities was a real breakthrough in the 1970's and has generated a vast variety of further research in this field. He also organized six of the seven "General Inequalities" Conferences held at Oberwolfach between 1976 and 1995, and coedited their proceedings. He participated as an honorary member of the Scientific Committee in the "General Inequalities 8" conference in Hungary. As a recognition of his great achievements, this volume is dedicated to Wolfgang Walter's memory. The "General Inequalities" meetings found their continuation in the "Conferences on Inequalities and Applications" which, so far, have been held twice in Hungary. This volume contains selected contributions of participants of the second conference which took place in Hajduszoboszlo in September 2010, as well as additional articles written upon invitation. These contributions reflect many theoretical and practical aspects in the field of inequalities, and will be useful for researchers and lecturers, as well as for students who want to familiarize themselves with the area.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2012
 Series
 International series of numerical mathematics ; v. 161
 ISBN
 9783034802482 (hbk.)
 303480248X (hbk.)