Analytic and Geometric Inequalities and Applications

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 d...

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Bibliographic Details
Other Authors: RASSIAS, Themistocles (Editor), Srivastava, Hari M. (Editor)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1999, 1999
Edition:1st ed. 1999
Series:Mathematics and Its Applications
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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505 0 |a Old and New Results -- A Treatise on Grüss’ Inequality -- A?B?0Ensures (Br/2Ar/2Br/2)1/q ? (Br/2Br/2Br/2)1/q for r?0,p?0, q ? 1 with (1+r)q ? p + r and its Recent Applications -- Degree of Convergence for a Class of Linear Operators -- Some Comments and a Bibliography on the Laguerre-Samuelson Inequality with Extensions and Applications in Statistics and Matrix Theory -- Fractional Order Inequalities of Hardy Type -- Theory of Differential and Integral Inequalities with Initial Time Difference and Applications -- Numerical Radii of Some Companion Matrices and Bounds for the Zeros of Polynomials -- Bounds on Entropy Measures for Mixed Populations -- Extremal Problems and 
653 |a Functional analysis 
653 |a Functional Analysis 
653 |a Functions of complex variables 
653 |a Functions of real variables 
653 |a Integral transforms 
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653 |a Functions of a Complex Variable 
653 |a Integral Transforms, Operational Calculus 
653 |a Real Functions 
653 |a Operational calculus 
653 |a Special functions 
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520 |a 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.