Recent Progress in Inequalities / Edition 1

Recent Progress in Inequalities / Edition 1

by G.V. Milovanovic
     
 

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 science. This volume provides an extensive survey of the most… See more details below

Overview

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 science. 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. 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.

Product Details

ISBN-13:
9780792348450
Publisher:
Springer Netherlands
Publication date:
01/31/1998
Series:
Mathematics and Its Applications (closed) Series, #430
Edition description:
1998
Pages:
524
Product dimensions:
9.21(w) x 6.14(h) x 1.19(d)

Related Subjects

Table of Contents

Preface
Life and Inequalities: D. S. Mitrinovic (1908-1995)1
Publications of D. S. Mitrinovic11
Complex Polynomials and Maximal Ranges: Background and Applications31
Exact Classical Polynomial Inequalities in H[subscript p] for [actual symbol not reproducible]55
Vietoris's Inequalities and Hypergeometric Series63
Inequalities for Norms of Intermediate Derivatives and Some Their Applications77
Table of Inequalities in Elliptic Boundary Value Problems97
A Catalogue of Help and Help-type Integral and Series Inequalities127
Remarks of the Jackson and Whitney Constants161
On the Application of the Peano Representation of Linear Functionals in Numerical Analysis175
Inequalities Due to T. S. Nanjundiah203
Marcinkiewicz-Zygmund Inequalities: Methods and Results213
Shapiro's Inequality241
Bernstein Type Inequalities for Rational Functions With Prescribed Poles249
Some Generalisations and Refinements of the Hardy Inequality271
Discrete Inequalities of Wirtinger's Type289
Convexity Properties of Special Functions and Their Zeros309
Inequalities in Circular Arithmetic: A Survey325
Properties of Isometries and Approximate Isometries341
Inequalities for the Zeros of an Orthogonal Expansion of a Polynomial381
Error Inequalities for Discrete Hermite and Spline Interpolation397
An Inequality Concerning Symmetric Functions and Some Applications425
A Note on the Second Largest Eigenvalue of Star-like Trees433
Refinements of Ostrowski's and Fan-Todd's Inequalities445
On the Stability of the Quadratic Functional Equation and Related Topics449
A Dirichlet-type Integral Inequality457
On the Hyers-Ulam-Rassias Stability of Mappings465
Functions With Quasiconvex Derivatives471
Local Approximation by Quasi-polynomials475
Logarithmic Concavity of Distribution Functions481
Sharpening of Cauchy Inequality485
A Note on the Least Constant in Landau Inequality on a Finite Interval489
Some Inequalities Involving Harmonic Numbers493
Inequalities for Polynomials in L[subscript 0] Norm499
Some Inequalities for Altitudes and Other Elements of Triangle505
Author Index511

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