General Inequalities 5: 5th International Conference On General Inequalities, Oberwolfach, May 4-10, 1986 (international Series Of Numerical Mathematics) (volume 80)

All the participants came under the influence of the remarkable atmosphere now such an established feature of the Institute. vi Foreword The conference was closed by W.N. Everitt who, in paying tribute to all those who had contributed to the progress of the meeting, asked that the best thanks of all the participants be presented to the staff of the Institute for their unique contribution in the form of excellent hospitality and quiet and effective service. Front Matter....Pages i-xix Front Matter....Pages 1-1 De Branges’ Proof of the Bieberbach Conjecture....Pages 3-16 Front Matter....Pages 17-17 Tauberian Theorems, Convolutions and Some Results of D.C. Russell....Pages 19-27 On a Hardy-Littlewood Type Integral Inequality with a Monotonic Weight Function....Pages 29-63 Contributions to Inequalities II....Pages 65-72 On Some Discrete Quadratic Inequalities....Pages 73-85 Some Inequalities for Geometric Means....Pages 87-93 Estimation of an Integral....Pages 95-101 Tauberian-Type Results for Convolution of Sequences....Pages 103-113 Front Matter....Pages 115-115 Weighted Inequalities for Maximal Functions in Spaces of Homogeneous Type With Applications to Non-Isotropic Fractional Integrals....Pages 117-129 Some Inequalities Concerning Convolutions of Kernel Functions....Pages 131-138 Inequalities for Some Special Functions and their Zeros....Pages 139-150 Uniqueness Inequality and Best Harmonic L 1 -Approximation....Pages 151-160 On the Structure of (s,t)-Convex Functions....Pages 161-174 Moments of Convex and Monotone Functions....Pages 175-182 An Even Order Search Problem....Pages 183-202 Front Matter....Pages 203-203 Positivity in Absolute Summability....Pages 205-215 Fourier Inequalities With A p -Weights....Pages 217-232 Experimenting with Operator Inequalities using APL....Pages 233-250 P-Estimates for Ultraproducts of Banach Lattices and Reflexivity....Pages 251-260 Front Matter....Pages 261-261 On the Stability of a Functional Equation Arising in Probabilistic Normed Spaces....Pages 263-271 Front Matter....Pages 261-261 Some Iterative Functional Inequalities and Schröder’s Equation....Pages 273-275 On an Inequality of P.W. Cholewa....Pages 277-280 Subadditive Multifunctions and Hyers-Ulam Stability....Pages 281-291 Bemerkungen zu Einem Existenz- und Eindeutigkeitsproblem von W. Walter aus dem Gebiet der Differenzengleichungen....Pages 293-299 Front Matter....Pages 301-301 Linear and Nonlinear Discrete Inequalities in n Independent Variables....Pages 303-318 Extremal Problems for Eigenvalues of the Sturm-Liouville Type....Pages 319-336 The Help Inequality in the Regular Case....Pages 337-346 On Estimating Eigenvalues of a Second Order Linear Differential Operator....Pages 347-366 Landau’s Inequality for the Differential and Difference Operators....Pages 367-379 Ein Existenzsatz für Gewöhnliche Differentialgleichungen in Geordneten Banachräumen....Pages 381-390 Optimal Bounds for the Critical Value in a Semilinear Boundary Value Problem on a Surface....Pages 391-400 Some Inequalities of Sobolev Type on Two-Dimensional Spheres....Pages 401-408 Front Matter....Pages 409-409 Entropies, Generalized Entropies, Inequalities, and the Maximum Entropy Principle....Pages 411-417 Inequalities and Mathematical Programming, III....Pages 419-432 Functions Generating Schur-Convex Sums....Pages 433-438 How to Make Fair Decisions?....Pages 439-450 On The τ T -Product of Symmetric and Subsymmetric Distribution Functions....Pages 451-456 Front Matter....Pages 457-457 The Behaviour of Comprehensive Classes of Means Under Equal Increments of Their Variables....Pages 459-461 A Problem Concerning Some Metrics....Pages 463-464 Three Problems....Pages 465-466 Front Matter....Pages 457-457 Problems on Landau’s Inequality....Pages 467-469 A Generalization of Young’s Inequality....Pages 471-472 On Packings of Congruent Balls in the Unit Ball....Pages 473-474 Back Matter....Pages 475-482 The Fifth International Conference on General Inequalities was held from May 4 to May 10, 1986, at the Mathematisches Forschungsinstitut Oberwolfach (Black Forest, Germany). The organizing committee consisted of W.N. Everitt (Birmingham), L. Losonczi (Debrecen) and W. Walter (Karlsruhe). Dr. A. Kovacec served efficiently an'd enthusiastically as secretary to the con ference. The meeting was attended by 50 participants from 16 countries. In his opening address, W. Walter had to report on the death of five colleagues who had been active in the area of inequali ties and who had served the mathematical community: P.R. Beesack, G. Polya, D.K. Ross, R. Bellman, G. Szegö. He made special mention of G. Polya, who had been the last surviving author of the book InequaZities (Cambridge University Press, 1934), who died at the age of 97 years and whose many and manifold contributions to mathematics will be recorded elsewhere, in due course. Inequalities continue to play an important and significant role in nearly all areas of mathematics. The interests of the participants to this conference reflected the many different fields in which both classical and modern inequalities continue to influence developments in mathematics. In addition to the established fields, the lectures clearly indicated the importance of inequalities in functional analysis, eigenvalue theory, con vexi ty., number theory, approximation theory, probability theory, mathematical prograrnrning and economics