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Functional equations and inequalities

✍ Scribed by J. Aczél (auth.), Prof. B. Forte (eds.)


Publisher
Springer-Verlag Berlin Heidelberg
Year
2011
Leaves
421
Series
C.I.M.E. Summer Schools 54
Edition
1
Category
Library

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✦ Synopsis


J. Aczél: Some applications of functional equations and inequalities to information measures.- J.A. Baker: Functional equations in vector space, part II.- I Fenyo: Sur les équations distributionnelles.- B. Forte: Applications of functional equations and inequalities to information theory.- S. Golab: Sur l’équation fonctionnelle des brigade.- E. Hille: Mean-values and functional equations.- J. Kampé 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: Functional equations on vector spaces.- E. Lukacs: Inequalities and functional equations in probability theory.- M.A. McKiernan: Difference and mean-value type functional equations.- T.S. Motzkin: Solutions of differential and functional inequalities.- C.T. Ng: Uniqueness theorems in the theory of functional equations and related homotopy.- A.M. Ostrowski: Integral inequalities.- H. Schwerdtfeger: Remark on an inequality for monotonic functions.

✦ Table of Contents


Front Matter....Pages i-iii
Some Applications of Functional Equations and Inequalities to Information Measures....Pages 1-20
Functional Equations in Vector Spaces, Part II....Pages 21-42
Sur Les ÉQuations Distributionnelles....Pages 43-109
Applications of Functional Equations and Inequalities to Information Theory....Pages 111-140
Sur L'ÉQuation Fonctionnelle Des Brigades....Pages 141-151
Meanvalues and Functional Equations....Pages 153-162
Applications of Functional Equations and Inequalities to Information Theory.....Pages 163-194
Convex Functions....Pages 195-213
Functional Equations on Vector Spaces....Pages 215-231
Inequalities and Functional Equations in Probability theory....Pages 233-257
Difference and Mean Value Type Functional Equations....Pages 258-285
Solutions of Differential and Functional Inequalities....Pages 287-374
Uniqueness Theorems in the Theory of Functional Equations and Related Homotopy....Pages 375-385
Integral Inequalities....Pages 387-419
Remark On an Inequality for Monotonic Functions....Pages 421-429

✦ Subjects


Difference and Functional Equations


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