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Recent Progress in Inequalities / Edition 1

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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.
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Editorial Reviews

Booknews
Presents 33 papers, many of which came from a June 1996 conference held in Yugoslavia in honor of Professor Dragoslav S. Mitrinovic (1908-1995). Representative topics include applications of complex polynomials and maximal ranges, Vietoris's inequalities and hypergeometric series, Shapiro's inequality, the second largest eigenvalue of star-like trees, logarithmic concavity of distribution functions, and inequalities involving harmonic numbers. Of interest to researchers in real, complex and functional analysis, special functions, approximation theory, numerical analysis, as well as to graduate students requiring the latest results in the field. No subject index. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9780792348450
  • Publisher: Springer Netherlands
  • Publication date: 1/31/1998
  • Series: Mathematics and Its Applications (closed) Series , #430
  • Edition description: 1998
  • Edition number: 1
  • Pages: 524
  • Product dimensions: 9.21 (w) x 6.14 (h) x 1.19 (d)

Table of Contents

Preface
Life and Inequalities: D. S. Mitrinovic (1908-1995) 1
Publications of D. S. Mitrinovic 11
Complex Polynomials and Maximal Ranges: Background and Applications 31
Exact Classical Polynomial Inequalities in H[subscript p] for [actual symbol not reproducible] 55
Vietoris's Inequalities and Hypergeometric Series 63
Inequalities for Norms of Intermediate Derivatives and Some Their Applications 77
Table of Inequalities in Elliptic Boundary Value Problems 97
A Catalogue of Help and Help-type Integral and Series Inequalities 127
Remarks of the Jackson and Whitney Constants 161
On the Application of the Peano Representation of Linear Functionals in Numerical Analysis 175
Inequalities Due to T. S. Nanjundiah 203
Marcinkiewicz-Zygmund Inequalities: Methods and Results 213
Shapiro's Inequality 241
Bernstein Type Inequalities for Rational Functions With Prescribed Poles 249
Some Generalisations and Refinements of the Hardy Inequality 271
Discrete Inequalities of Wirtinger's Type 289
Convexity Properties of Special Functions and Their Zeros 309
Inequalities in Circular Arithmetic: A Survey 325
Properties of Isometries and Approximate Isometries 341
Inequalities for the Zeros of an Orthogonal Expansion of a Polynomial 381
Error Inequalities for Discrete Hermite and Spline Interpolation 397
An Inequality Concerning Symmetric Functions and Some Applications 425
A Note on the Second Largest Eigenvalue of Star-like Trees 433
Refinements of Ostrowski's and Fan-Todd's Inequalities 445
On the Stability of the Quadratic Functional Equation and Related Topics 449
A Dirichlet-type Integral Inequality 457
On the Hyers-Ulam-Rassias Stability of Mappings 465
Functions With Quasiconvex Derivatives 471
Local Approximation by Quasi-polynomials 475
Logarithmic Concavity of Distribution Functions 481
Sharpening of Cauchy Inequality 485
A Note on the Least Constant in Landau Inequality on a Finite Interval 489
Some Inequalities Involving Harmonic Numbers 493
Inequalities for Polynomials in L[subscript 0] Norm 499
Some Inequalities for Altitudes and Other Elements of Triangle 505
Author Index 511
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