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Frontiers in Functional Equations and Analytic Inequalities

Editors: Anastassiou, George, Rassias, John Michael (Eds.)

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  • Features self-contained chapters that can be read independently
  • Presents cutting-edge research from the frontiers of functional equations and analytic inequalities active fields
  • Contains an extensive list of references
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eBook 93,08 €
price for Spain (gross)
  • ISBN 978-3-030-28950-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-030-28949-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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. 

About the authors

George Anastassiou is Professor at the University of Memphis. Research interests include Computational analysis, approximation theory, probability, theory of moments. Professor Anastassiou has authored and edited several publications with Springer including "Fractional Differentiation Inequalities" (c) 2009, "Fuzzy Mathematics: Approximation Theory" (c) 2010, "Intelligent Systems: Approximation by Artificial Neural Networks" (c) 2014, "The History of Approximation Theory" (c) 2005, "Modern Differential Geometry in Gauge Theories" (c) 2006, and more.
John Michael Rassias is a Ph.D. graduate of the University of California, Berkeley. He is currently  Emeritus Professor of the National and Kapodistrian University of Athens, Greece. Professor John M. Rassias  is a leading mathematician and researcher in Mathematics. He has published academic papers in the following research areas: Functional Equations and Inequalities (more than 300 papers) in peer-reviewed leading scientific journals. Partial Differential Equations (more than 100 papers). He has also published 36  books and monographs in  Mathematics.

Table of contents (36 chapters)

Table of contents (36 chapters)
  • Complex Korovkin Theory via Inequalities: A Quantitative Approach

    Pages 3-26

    Anastassiou, George A.

  • Hyperstability of a Linear Functional Equation on Restricted Domains

    Pages 27-42

    Chung, Jaeyoung (et al.)

  • Hyers–Ulam’s Stability Results to a Three-Point Boundary Value Problem of Nonlinear Fractional Order Differential Equations

    Pages 45-71

    Shah, Kamal (et al.)

  • Topological Degree Theory and Ulam’s Stability Analysis of a Boundary Value Problem of Fractional Differential Equations

    Pages 73-92

    Ali, Amjad (et al.)

  • On a Variant of μ-Wilson’s Functional Equation with an Endomorphism

    Pages 93-111

    Sabour, K. H. (et al.)

Buy this book

eBook 93,08 €
price for Spain (gross)
  • ISBN 978-3-030-28950-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-030-28949-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Frontiers in Functional Equations and Analytic Inequalities
Editors
  • George Anastassiou
  • John Michael Rassias
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-28950-8
DOI
10.1007/978-3-030-28950-8
Hardcover ISBN
978-3-030-28949-2
Edition Number
1
Number of Pages
XIV, 753
Number of Illustrations
8 b/w illustrations, 5 illustrations in colour
Topics