Approximation Theory and Analytic Inequalities

Editors: Rassias, Themistocles M. (Ed.)

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  • Focuses on various important areas of mathematics in which approximation methods play an essential role
  • Reader will be exposed to convexity theory, polynomial inequalities, extremal problems, prediction theory, fixed point theory for operators, PDEs, fractional integral inequalities, multidimensional numerical integration, Gauss-Jacobi and Hermite-Hadamard type inequalities, Hilbert-type inequalities, and Ulam’s stability of functional equations
  • Provides up-to-date results which may be useful to graduate students and researchers working in mathematics, physics, economics, operational research
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eBook £71.50
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  • ISBN 978-3-030-60622-0
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Hardcover £89.99
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  • ISBN 978-3-030-60621-3
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About this book

This contributed volume focuses on various important areas of mathematics in which approximation methods play an essential role. It features cutting-edge research on a wide spectrum of analytic inequalities with emphasis on differential and integral inequalities in the spirit of functional analysis, operator theory, nonlinear analysis, variational calculus, featuring a plethora of applications, making this work a valuable resource. The reader will be exposed to convexity theory, polynomial inequalities, extremal problems, prediction theory, fixed point theory for operators, PDEs, fractional integral inequalities, multidimensional numerical integration, Gauss–Jacobi and Hermite–Hadamard type inequalities, Hilbert-type inequalities, and Ulam’s stability of functional equations. Contributions have been written by eminent researchers, providing up-to-date information and several results which may be useful to a wide readership including graduate students and researchers working in mathematics, physics, economics, operational research, and their interconnections.

About the authors

Themistocles M. Rassias is professor of mathematics at the National Technical University of Athens. His research interests include nonlinear analysis, global analysis, approximation theory, functional analysis, functional equations, inequalities and their applications. Professor Rassias received his PhD in mathematics from the University of California, Berkeley in 1976; his thesis advisor was Stephen Smale and his academic advisor was Shiing-Shen Chern. In addition to his extensive list of journal publications, Professor Rassias has published as author or volume editor several books published with Springer. Th. M. Rassias has received several awards and is an active editorial board member of an array of journals in mathematical analysis and optimization. His publications have received a large number of citations, with h-index 46.

Table of contents (26 chapters)

Table of contents (26 chapters)
  • Harmonic Hermite–Hadamard Inequalities Involving Mittag-Leffler Function

    Pages 1-20

    Awan, Muhammad Uzair (et al.)

  • Two-Dimensional Trapezium Inequalities via

    Pages 21-34

    Awan, Muhammad Uzair (et al.)

  • New

    Pages 35-47

    Awan, Muhammad Uzair (et al.)

  • On the Hyers–Ulam–Rassias Approximately Ternary Cubic Higher Derivations

    Pages 49-58

    Kenary, H. Azadi (et al.)

  • Hyers–Ulam Stability for Differential Equations and Partial Differential Equations via Gronwall Lemma

    Pages 59-69

    Ciplea, Sorina Anamaria (et al.)

Buy this book

eBook £71.50
price for United Kingdom (gross)
  • ISBN 978-3-030-60622-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover £89.99
price for United Kingdom (gross)
  • ISBN 978-3-030-60621-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Approximation Theory and Analytic Inequalities
Editors
  • Themistocles M. Rassias
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-60622-0
DOI
10.1007/978-3-030-60622-0
Hardcover ISBN
978-3-030-60621-3
Edition Number
1
Number of Pages
XII, 546
Number of Illustrations
3 b/w illustrations, 15 illustrations in colour
Topics