Frontiers in functional equations and analytic inequalities

Bibliographic Information

Frontiers in functional equations and analytic inequalities

George A. Anastassiou, John Michael Rassias, editors

Springer, c2019

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Note

Includes bibliographical references and index

Description and Table of Contents

Description

This volume presents cutting edge research from the frontiers of functional equations and analytic inequalities active fields. It covers the subject of functional equations in a broad sense, including but not limited to the following topics: Hyperstability of a linear functional equation on restricted domains Hyers-Ulam's stability results to a three point boundary value problem of nonlinear fractional order differential equations Topological degree theory and Ulam's stability analysis of a boundary value problem of fractional differential equations General Solution and Hyers-Ulam Stability of Duo Trigintic Functional Equation in Multi-Banach Spaces Stabilities of Functional Equations via Fixed Point Technique Measure zero stability problem for the Drygas functional equation with complex involution Fourier Transforms and Ulam Stabilities of Linear Differential Equations Hyers-Ulam stability of a discrete diamond-alpha derivative equation Approximate solutions of an interesting new mixed type additive-quadratic-quartic functional equation. The diverse selection of inequalities covered includes Opial, Hilbert-Pachpatte, Ostrowski, comparison of means, Poincare, Sobolev, Landau, Polya-Ostrowski, Hardy, Hermite-Hadamard, Levinson, and complex Korovkin type. The inequalities are also in the environments of Fractional Calculus and Conformable Fractional Calculus. Applications from this book's results can be found in many areas of pure and applied mathematics, especially in ordinary and partial differential equations and fractional differential equations. As such, this volume is suitable for researchers, graduate students and related seminars, and all science and engineering libraries. The exhibited thirty six chapters are self-contained and can be read independently and interesting advanced seminars can be given out of this book.

Table of Contents

TOC: TABLE OF CONTENTS: 1. Functional Equations and Applications 2. Methods of Solving Functional Equations 3. General Solution of Euler-Lagrange Type Functional Equations 4. General Solution of Euler-Lagrange-Jensen Type Functional Equations 5. General Solution of Cubic , Quartic Type Functional Equations 6. Solution of Quintic , Sextic, Septic, Octic,..., Functional Equations 7. Mixed Type Functional Equations 8. Two-Variable and Functional Equations in Several Variables 9. The Famous Ulam Stability Problem 10. Ulam Stability of Functional Equations in Various Spaces 11. Approximation and Functional Inequalities 12. Ulam-Hyers Stabilities of Functional Equations in Normed Spaces 13. Stabilities of Functional Equations on C*-algebras and Lie C*-algebras 14. Ulam Stability of Mixed Type Mappings on Restricted Domains 15. Related Topics on Distributions and Hyperfunctions 16. Ostrowski inequalities 17. Opial inequalities 18. Poincare inequalities 19. Sobolev inequalities 20. Polya inequalities 21. Means inequalities 22. Gruss inequalities 23. Fractional differentiation inequalities 24. Operator inequalities 25. Multivariate domain inequalities on cube and sphere 26. Time scale inequalities and fractionality 27. Stochastic inequalities 28. Csiszar f-divergence representations and estimates 29. Inequalities of Hermite-Hadamard type 30. Inequalities for Convex Functions

by "Nielsen BookData"

Details

  • NCID
    BB29408273
  • ISBN
    • 9783030289492
  • Country Code
    sz
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cham
  • Pages/Volumes
    xiv, 753 p.
  • Size
    25 cm
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