Analytic and Geometric Inequalities and Applications

  • Themistocles M. Rassias
  • Hari M. Srivastava

Part of the Mathematics and Its Applications book series (MAIA, volume 478)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Tsuyoshi Ando
    Pages 1-12
  3. Mark S. Ashbaugh
    Pages 13-28
  4. Richard Brown, Victor Burenkov, Steve Clark, Don Hinton
    Pages 37-52
  5. Wing-Sum Cheung, Themistocles M. Rassias
    Pages 53-67
  6. Radosav Ž. Djordjević
    Pages 69-92
  7. A. M. Fink
    Pages 93-113
  8. N. K. Govil, R. N. Mohapatra
    Pages 135-150
  9. Alois Kufner
    Pages 183-189
  10. M. Matić, C. E. M. Pearce, J. Pečarić
    Pages 231-244
  11. Muhammad Aslam Noor, Eisa A. Al-Said
    Pages 277-300
  12. B. G. Pachpatte
    Pages 301-322
  13. Igor E. Pritsker
    Pages 335-348
  14. Back Matter
    Pages 375-377

About this book


Analytic and Geometric Inequalities and Applications is devoted to recent advances in a variety of inequalities of Mathematical Analysis and Geo­ metry. Subjects dealt with in this volume include: Fractional order inequalities of Hardy type, differential and integral inequalities with initial time differ­ ence, multi-dimensional integral inequalities, Opial type inequalities, Gruss' inequality, Furuta inequality, Laguerre-Samuelson inequality with extensions and applications in statistics and matrix theory, distortion inequalities for ana­ lytic and univalent functions associated with certain fractional calculus and other linear operators, problem of infimum in the positive cone, alpha-quasi­ convex functions defined by convolution with incomplete beta functions, Chebyshev polynomials with integer coefficients, extremal problems for poly­ nomials, Bernstein's inequality and Gauss-Lucas theorem, numerical radii of some companion matrices and bounds for the zeros of polynomials, degree of convergence for a class of linear operators, open problems on eigenvalues of the Laplacian, fourth order obstacle boundary value problems, bounds on entropy measures for mixed populations as well as controlling the velocity of Brownian motion by its terminal value. A wealth of applications of the above is also included. We wish to express our appreciation to the distinguished mathematicians who contributed to this volume. Finally, it is our pleasure to acknowledge the fine cooperation and assistance provided by the staff of Kluwer Academic Publishers. June 1999 Themistocles M. Rassias Hari M.


convolution functional analysis integral transform operational calculus

Editors and affiliations

  • Themistocles M. Rassias
    • 1
  • Hari M. Srivastava
    • 2
  1. 1.Department of MathematicsNational Technical University of AthensAthensGreece
  2. 2.Department of Mathematics and StatisticsUniversity of VictoriaVictoriaCanada

Bibliographic information