Analytic and Geometric Inequalities and Applications (Mathematics and Its Applications (closed))

Themistocles M. Rassias

ISBN 10: 9401059381 / ISBN 13: 9789401059381

Edité par Springer 2013-12-31, 2013

A propos de cet article

N° de réf. du vendeur 6666-IUK-9789401059381

Détails bibliographiques

• Titre: Analytic and Geometric Inequalities and Applications (Mathematics and Its Applications (closed))
• Éditeur: Springer 2013-12-31
• Date de parution: 2013
• Langue: anglais
• ISBN à 10 chiffres: 9401059381
• ISBN à 13 chiffres: 9789401059381
• Reliure: Paperback
• État de l'article: New

A propos de ce titre

Synopsis

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.

Présentation de l'éditeur

This volume is devoted to recent advances in a variety of inequalities in mathematical analysis and geometry. Subjects dealt with include: differential and integral inequalities; fractional order inequalities of Hardy type; multi-dimensional integral inequalities; Grüss' inequality; Laguerre-Samuelson inequality; Opial type inequalities; Furuta inequality; distortion inequalities; problem of infimum in the positive cone; external problems for polynomials; Chebyshev polynomials; bounds for the zeros of polynomials; open problems on eigenvalues of the Laplacian; obstacle boundary value problems; bounds on entropy measures for mixed populations; connections between the theory of univalent functions and the theory of special functions; and degree of convergence for a class of linear operators. A wealth of applications of the above is also included.
Audience: This book will be of interest to mathematicians whose work involves real functions, functions of a complex variable, special functions, integral transforms, operational calculus, or functional analysis.