Analytic and Geometric Inequalities and Applications
Editors: Rassias, Themistocles M., Srivastava, Hari M. (Eds.)
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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, multidimensional integral inequalities, Opial type inequalities, Gruss' inequality, Furuta inequality, LaguerreSamuelson 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, alphaquasi convex functions defined by convolution with incomplete beta functions, Chebyshev polynomials with integer coefficients, extremal problems for poly nomials, Bernstein's inequality and GaussLucas 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.
 Table of contents (21 chapters)


Problem of Infimum in the Positive Cone
Pages 112

Open Problems on Eigenvalues of the Laplacian
Pages 1328

On an Inequality of S. Bernstein and the GaussLucas Theorem
Pages 2935

Second Order Opial Inequalities in $${\mathcal{L}^p}$$ Spaces and Applications
Pages 3752

On MultiDimensional Integral Inequalities and Applications
Pages 5367

Table of contents (21 chapters)
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Bibliographic Information
 Bibliographic Information

 Book Title
 Analytic and Geometric Inequalities and Applications
 Editors

 Themistocles M. Rassias
 Hari M. Srivastava
 Series Title
 Mathematics and Its Applications
 Series Volume
 478
 Copyright
 1999
 Publisher
 Springer Netherlands
 Copyright Holder
 Springer Science+Business Media Dordrecht
 eBook ISBN
 9789401145770
 DOI
 10.1007/9789401145770
 Softcover ISBN
 9789401059381
 Edition Number
 1
 Number of Pages
 VII, 377
 Topics