Differential and Integral Inequalities

  • Dorin Andrica
  • Themistocles M. Rassias

Part of the Springer Optimization and Its Applications book series (SOIA, volume 151)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Dorin Andrica, Sorin Rădulescu, Marius Rădulescu
    Pages 49-134
  3. Dorin Andrica, Sorin Rădulescu, Marius Rădulescu
    Pages 135-229
  4. Muhammad Uzair Awan, Muhammad Aslam Noor, Khalida Inayat Noor
    Pages 231-264
  5. Athanase Cotsiolis, Nikos Labropoulos
    Pages 265-287
  6. Allal Guessab, Gradimir V. Milovanović
    Pages 391-402
  7. Christos P. Kitsos, Thomas L. Toulias
    Pages 481-508
  8. Manish Kumar, R. N. Mohapatra
    Pages 549-568
  9. Branko Malešević, Marija Rašajski, Tatjana Lutovac
    Pages 569-582
  10. Dumitru Motreanu, Viorica Venera Motreanu
    Pages 589-601
  11. Muhammad Aslam Noor, Khalida Inayat Noor, Themistocles M. Rassias
    Pages 603-618
  12. Sotiris K. Ntouyas, Bashir Ahmad, Theodoros P. Horikis
    Pages 619-686
  13. Suzan J. Obaiys, Rabha W. Ibrahim, Ahmad F. Ahmad
    Pages 687-717

About this book


Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book.  Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy–Hadamard, Chebychev, Markov, Euler’s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau–Kolmogorov, Carlson, Bernstein–Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.


differential and integral inequalities analytic inequalities approximation theory Isoperimetric inequalities Wirtinger Gronwall Bernstein-Mordell Carlson Landau-Kolmogorov Carleman Hilbert Grothendieck Friederich Hardy Cauchy-Hadamard Agarwal Markov Euler’s constant Bessel

Editors and affiliations

  • Dorin Andrica
    • 1
  • Themistocles M. Rassias
    • 2
  1. 1.Department of MathematicsBabeş-Bolyai UniversityCluj-NapocaRomania
  2. 2.Department of MathematicsNational Technical University of AthensAthensGreece

Bibliographic information