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Functional Equations and Inequalities

Lectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in La Mendola (Trento), Italy, August 20-28, 1970

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  • © 2011

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Editors:
  1. B. Forte
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Part of the book series: C.I.M.E. Summer Schools (CIME, volume 54)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-iii
    Download chapter PDF

  2. Some Applications of Functional Equations and Inequalities to Information Measures

    • J. Aczél
    Pages 1-20

  3. Functional Equations in Vector Spaces, Part II

    • John A. A. Baker
    Pages 21-42

  4. Sur Les ÉQuations Distributionnelles

    • I. Fenyö
    Pages 43-109

  5. Applications of Functional Equations and Inequalities to Information Theory

    • B. Forte
    Pages 111-140

  6. Sur L'ÉQuation Fonctionnelle Des Brigades

    • S. GoÅ‚ab
    Pages 141-151

  7. Meanvalues and Functional Equations

    • Einar Hille
    Pages 153-162

  8. Applications of Functional Equations and Inequalities to Information Theory.

    • J. Kampé De FéRiet
    Pages 163-194

  9. Convex Functions

    • M. Kuczma
    Pages 195-213

  10. Functional Equations on Vector Spaces

    • S. Kurepa
    Pages 215-231

  11. Inequalities and Functional Equations in Probability theory

    • E. Lukacs
    Pages 233-257

  12. Difference and Mean Value Type Functional Equations

    • M. A. Mckiernan
    Pages 258-285

  13. Solutions of Differential and Functional Inequalities

    • T. S. Motzkin
    Pages 287-374

  14. Uniqueness Theorems in the Theory of Functional Equations and Related Homotopy

    • C.T. Ng
    Pages 375-385

  15. Integral Inequalities

    • A. M. Ostrowski
    Pages 387-419

  16. Remark On an Inequality for Monotonic Functions

    • Hans Schwerdtfeger
    Pages 421-429
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About this book

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.

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Bibliographic Information

  • Book Title: Functional Equations and Inequalities

  • Book Subtitle: Lectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in La Mendola (Trento), Italy, August 20-28, 1970

  • Editors: B. Forte

  • Series Title: C.I.M.E. Summer Schools

  • DOI: https://doi.org/10.1007/978-3-642-11004-7

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2011

  • Softcover ISBN: 978-3-642-11002-3Published: 30 November 2010

  • eBook ISBN: 978-3-642-11004-7Published: 02 June 2011

  • Edition Number: 1

  • Number of Pages: 425

  • Number of Illustrations: 2 b/w illustrations

  • Topics: Difference and Functional Equations

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