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Recent Progress in Inequalities : MATHEMATICS AND ITS APPLICATIONS (KLUWER ) - Gradimir V. Milovanovic

Recent Progress in Inequalities

MATHEMATICS AND ITS APPLICATIONS (KLUWER )

Hardcover

Published: 31st January 1998
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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.

Preface
Life and Inequalities: D. S. Mitrinovic (1908-1995)p. 1
Publications of D. S. Mitrinovicp. 11
Complex Polynomials and Maximal Ranges: Background and Applicationsp. 31
Exact Classical Polynomial Inequalities in H[subscript p] for [actual symbol not reproducible]p. 55
Vietoris's Inequalities and Hypergeometric Seriesp. 63
Inequalities for Norms of Intermediate Derivatives and Some Their Applicationsp. 77
Table of Inequalities in Elliptic Boundary Value Problemsp. 97
A Catalogue of Help and Help-type Integral and Series Inequalitiesp. 127
Remarks of the Jackson and Whitney Constantsp. 161
On the Application of the Peano Representation of Linear Functionals in Numerical Analysisp. 175
Inequalities Due to T. S. Nanjundiahp. 203
Marcinkiewicz-Zygmund Inequalities: Methods and Resultsp. 213
Shapiro's Inequalityp. 241
Bernstein Type Inequalities for Rational Functions With Prescribed Polesp. 249
Some Generalisations and Refinements of the Hardy Inequalityp. 271
Discrete Inequalities of Wirtinger's Typep. 289
Convexity Properties of Special Functions and Their Zerosp. 309
Inequalities in Circular Arithmetic: A Surveyp. 325
Properties of Isometries and Approximate Isometriesp. 341
Inequalities for the Zeros of an Orthogonal Expansion of a Polynomialp. 381
Error Inequalities for Discrete Hermite and Spline Interpolationp. 397
An Inequality Concerning Symmetric Functions and Some Applicationsp. 425
A Note on the Second Largest Eigenvalue of Star-like Treesp. 433
Refinements of Ostrowski's and Fan-Todd's Inequalitiesp. 445
On the Stability of the Quadratic Functional Equation and Related Topicsp. 449
A Dirichlet-type Integral Inequalityp. 457
On the Hyers-Ulam-Rassias Stability of Mappingsp. 465
Functions With Quasiconvex Derivativesp. 471
Local Approximation by Quasi-polynomialsp. 475
Logarithmic Concavity of Distribution Functionsp. 481
Sharpening of Cauchy Inequalityp. 485
A Note on the Least Constant in Landau Inequality on a Finite Intervalp. 489
Some Inequalities Involving Harmonic Numbersp. 493
Inequalities for Polynomials in L[subscript 0] Normp. 499
Some Inequalities for Altitudes and Other Elements of Trianglep. 505
Author Indexp. 511
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792348450
ISBN-10: 0792348451
Series: MATHEMATICS AND ITS APPLICATIONS (KLUWER )
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 524
Published: 31st January 1998
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 25.4 x 17.15  x 3.81
Weight (kg): 1.0