Format:
Online-Ressource
ISBN:
9783642110047
Series Statement:
C.I.M.E. Summer Schools 54
Content:
J. Aczel: Some applications of functional equations and inequalities to information measures.- J.A. Baker: Functional equations in vector space, part II.- I Fenyo: Sur les equations distributionnelles.- B. Forte: Applications of functional equations and inequalities to information theory.- S. Golab: Sur l'equation fonctionnelle des brigade.- E. Hille: Mean-values and functional equations.- J. Kampe de Feriet: Applications of functional equations and inequalities to information theory. Measure of information by a set of observers: a functional equation.- M. Kuczma: Convex functions.- S. Kurepa
Note:
Description based upon print version of record
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Functional Equations and Inequalities; Copyright Page; Contents; Some Application of Functional Equations and Inequalities to Information Measures; 1. Algebraic Properties; 2. Representations; 3. Inequalities; 4. Regularity; References; Functional Equations in Vector Spaces, Part II; Regularity Theorems; The Exponential and Cosine Equations; References; Sur Les Équations Distributionnelles; Introduction; Conclusion; References; Applications of Functional Equations and Inequalities to Information Theory; References; Sur L'Équation Fonctionnelle Des Brigades; Travaux cités
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Meanvalues and Functional EquationsMeasure of information by a set of observers: a functional equation; Bibliography; Convex Functions; References; Functional Equations on Vector Spaces; References; Inequalities and Functional Equations in Probability Theory; 0. Introduction; 1. Inequalities; 2. Functional equations; 3. A stability theorem; References; Difference and Mean Value Type Functional Equations; I. Introduction; II. Notation; III. The Theorem of Steinhaus; IV. Applications to type I, II, I*, II* Equations; V. Linear Type I: bavs. S, µ(S) 〉 0 Solutions
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VI. Linear Type I: General SolutionsVII. Linear Type Convexity on (Image); VIII. Linear TYpe II: General Solutions in (Image); IX. Linear Type II: Introduction to Distributional Solutions; Solutions of Differential and Functional Inequalities; 1. Introduction: equations and inequalities; 2. Polynomials and their disadherents; 3. General families: disadherents and unisolvence; References; Appendix 1 Shapes of Regular Strictly Convex Curves, and Two Inflection Theorems; Appendix 2 Convex Type Varieties; Appendix 3 Topics in the Theory of Interpolation; Appendix 4 Disadherents and Unisolzence
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Appendix 5 Existence of Essentially Nonlinear Families Suitable for Oscillatory ApproximationUniqueness Theorems in the Theory of Functional Equations and Related Homotopy; References; Integral Inequalities; I. Introduction; II. General means; III. One-dimensional case; IV. A reduction formula for triple integrals; V. Corollaries from the reduction formula; VI Garsia's theorem on c2; Bibliography; Remark on an Inequality for Monotonic Functions;
Language:
English
Keywords:
Electronic books
