Ebook: Recent Progress in Inequalities

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.

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