Analytic and Geometric Inequalities and Applications

by Rassias, Themistocles M.; Srivastava, H. M.

• ISBN13: 9780792356905
• ISBN10: 079235690X
• Format: Hardcover
• Copyright: 1999-07-01
• Publisher: Kluwer Academic Pub

Summary

Devoted to recent advances in a variety of inequalities of mathematical analysis and geometry. Deals with differential and integral inequalities, fractional order inequalities of Hardy type, multi-dimensional integral inequalities, and degree of convergence for a class of linear operators.

Table of Contents

Preface	vii
Problem of Infimum in the Positive Cone	1	(12)
Tsuyoshi Ando
Open Problems on Eigenvalues of the Laplacian	13	(16)
Mark S. Ashbaugh
On an Inequality of S. Bernstein and the Gauss-Lucas Theorem	29	(8)
A. Aziz
N. A. Rather
Second Order Opial Inequalities in LP Spaces and Applications	37	(32)
R. Brown
V. Burenkov
S. Clark
D. Hinton
On Multi-Dimensional Integral Inequalities and Applications
Wing-Sum Cheung
Themistocles M. Rassias	53	(16)
Some Inequalities for Triangle: Old and New Results	69	(24)
Radosav Z. Djordjevic
A Treatise on Gruss' Inequality	93	(22)
A. M. Fink
Ensures for and its Recent Applications	115	(20)
Takayuki Furuta
Degree of Convergence for a Class of Linear Operators	135	(16)
N. K. Govil
R. N. Mohapatra
Some Comments and a Bibliography on the Laguerre-Samuelson Inequality with Extensions and Applications in Statistics and Matrix Theory	151	(32)
Shane T. Jensen
George P.H. Styan
Fractional Order Inequalities of Hardy Type	183	(8)
Alois Kufner
Theory of Differential and Integral Inequalities with Initial Time Difference and Applications	191	(14)
V. Lakshmikantham
A. S. Vatsala
Numerical Radii of Some Companion Matrices and Bounds for the Zeros of Polynomials	205	(26)
Hansjorg Linden
Bounds on Entropy Measures for Mixed Populations	231	(14)
M. Matic
C.E.M. Pearce
J. Pecaric
Extremal Problems and Inequalities of Markov-Bernstein Type for Polynomials	245	(20)
Gradimir V. Milovanovic
On Alpha-Quasi-Convex Functions Defined by Convolution with Incomplete Beta Functions	265	(12)
Khalida Inayat Noor
Fourth Order Obstacle Boundary Value Problems	277	(24)
M. Aslam Noor
Eisa A. Al-Said
On Some Generalized Opial Type Inequalities	301	(22)
B. G. Pachpatte
Controlling the Velocity of Brownian Motion by its Terminal Value	323	(12)
Goran Peskir
Chebyshev Polynomials with Integer Coefficients	335	(14)
Igor E. Pritsker
Distortion Inequalities for Analytic and Univalent Functions Associated with Certain Fractional Calculus and Other Linear Operators	349	(26)
H. M. Srivastava
Index	375