Recent Progress in Inequalities

✍ Scribed by Gradimir V. Milovanović (auth.), G. V. Milovanović (eds.)

• Publisher: Springer Netherlands
• Year: 1998
• Tongue: English
• Leaves: 517
• Series: Mathematics and Its Applications 430
• Edition: 1
• Category: Library

✦ Synopsis

This volume is dedicated to the late Professor Dragoslav S. Mitrinovic(1908-1995), one of the most accomplished masters in the domain of inequalities. Inequalities are to be found everywhere and play an important and significant role in almost all subjects of mathematics as well as in other areas of sciences. Professor Mitrinovic used to say: `There are no equalities, even in human life inequalities are always encountered.'
This volume provides an extensive survey of the most current topics in almost all subjects in the field of inequalities, written by 85 outstanding scientists from twenty countries. Some of the papers were presented at the International Memorial Conference dedicated to Professor D.S. Mitrinovic, which was held at the University of Nis, June 20-22, 1996.
Audience: This book will be of great interest to researchers in real, complex and functional analysis, special functions, approximation theory, numerical analysis and computation, and other fields, as well as to graduate students requiring the most up-to-date results.

✦ Table of Contents

Front Matter....Pages i-xii
Life and Inequalities: D. S. Mitrinović (1908–1995)....Pages 1-10
Publications of D. S. Mitrinović....Pages 11-27
Front Matter....Pages 29-29
Complex Polynomials and Maximal Ranges: Background and Applications....Pages 31-54
Exact Classical Polynomial Inequalities In H p for 0 ≤ p ≤ ∞....Pages 55-62
Vietoris’s Inequalities and Hypergeometric Series....Pages 63-76
Inequalities for Norms of Intermediate Derivatives and Some Their Applications....Pages 77-96
Table of Inequalities in Eliiptic Boundary Value Problems....Pages 97-125
A Catalogue of Help and Help-type Integral and Series Inequalities....Pages 127-160
Remarks on the Jackson and Whitney Constants....Pages 161-174
On the Application of the Peano Representation of Linear Functionals in Numerical Analysis....Pages 175-202
Inequalities Due to T. S. Nanjundiah....Pages 203-211
Marcinkiewicz-Zygmund Inequalities: Methods and Results....Pages 213-240
Shapiro’s Inequality....Pages 241-248
Bernstein Type Inequalities for Rational Functions with Prescribed Poles....Pages 249-270
Some Generalisations and Refinements of the Hardy Inequality....Pages 271-288
Discrete Inequalities of Wirtinger’s Type....Pages 289-308
Convexity Properties of Special Functions and Their Zeros....Pages 309-323
Inequalities in Circular Arithmetic: A Survey....Pages 325-340
Properties of Isometries and Approximate Isometries....Pages 341-379
Inequalities for the Zeros of an Orthogonal Expansion of a Polynomial....Pages 381-396
Front Matter....Pages 29-29
Error Inequalities for Discrete Hermite and Spline Interpolation....Pages 397-422
Front Matter....Pages 423-423
An Inequality Concerning Symmetric Functions and Some Applications....Pages 425-431
A Note on the Second Largest Eigenvalue of Star-Like Trees....Pages 433-443
Refinements of Ostrowski’s and Fan-Todd’s Inequalities....Pages 445-448
On the Stability of the Quadratic Functional Equation and Related Topics....Pages 449-455
A Dirichlet-Type Integral Inequality....Pages 457-463
On the Hyers-Ulam-Rassias Stability of Mappings....Pages 465-469
Functions With Quasiconvex Derivatives....Pages 471-473
On the Local Approximation by Quasi-Polynomials....Pages 475-480
Logarithmic Concavity of Distribution Functions....Pages 481-484
Sharpening of Cauchy Inequality....Pages 485-487
A Note on the Least Constant in Landau Inequality on a Finite Interval....Pages 489-491
Some Inequalities Involving Harmonic Numbers....Pages 493-498
Some Inequalities for Polynomials in L 0 NORM....Pages 499-503
Some Inequalities for Altitudes and Other Elements of Triangle....Pages 505-510
Back Matter....Pages 511-524

✦ Subjects

Real Functions; Functions of a Complex Variable; Special Functions; Approximations and Expansions; Functional Analysis