This volume is dedieated to Professor Dragoslav S. Mitrinovic (1908-1995), one of the most accomplished masters in the domain of inequalities. Inequalities are everywhere and play an important and significant role in almost all subjects of mathematies including other areas of sciences. Professor Mitrinovic often used to say: "There are no equalities, even in the human life, the inequalities are always met". Inequalities present a very active and attractive field of research. As Richard Bellman has so elegantly said at the Second International Conference on General Inequalities (Oberwolfach, July 30 - August 5, 1978): "There are three reasons for the study of inequalities: praetieal, theoretieal, and aesthetie. " On the aesthetie aspects he said: "As has been pointed out, beauty is in the eyes of the beholder. However, it is generally agreed that eertain pieees of musie, art, or mathematies are beautiful. There is an eleganee to inequalities that makes them very attraetive. " A great progress in inequalities was made by seven Oberwolfach conferences on inequalities with the corresponding seven volumes under the title General Inequal ities 1 - 7, published by Birkhäuser (1978, 1980, 1983, 1984, 1987, 1992, and 1997), as weIl as by several other international conferences dedieated to inequali ties. One of these conferences was held in 1987 at the University of Birmingham, England, under the auspices of the London Mathematical Society, and dedieated to the work of G. H. Hardy, J. E. Littlewood and G.

Klappentext

Life and Inequalities: D. S. Mitrinovi? (1908-1995).- Publications of D. S. Mitrinovi?.- Invited Papers.- Complex Polynomials and Maximal Ranges: Background and Applications.- Exact Classical Polynomial Inequalities in Hp for 0 ? p ? ?.- Vietoris's Inequalities and Hypergeometric Series.- Inequalities for Norms of Intermediate Derivatives and Some Their Applications.- Table of Inequalities in Elliptic Boundary Value Problems.- A Catalogue of Help and Help-type Integral and Series Inequalities.- Remarks of the Jackson and Whitney Constants.- On the Application of the Peano Representation of Linear Functionals in Numerical Analysis.- Inequalities Due to T. S. Nanjundiah.- Marcinkiewicz-Zygmund Inequalities: Methods and Results.- Shapiro's Inequality.- Bernstein Type Inequalities for Rational Functions With Prescribed Poles.- Some Generalisations and Refinements of the Hardy Inequality.- Discrete Inequalities of Wirtinger's Type.- Convexity Properties of Special Functions and Their Zeros.- Inequalities in Circular Arithmetic: A Survey.- Properties of Isometries and Approximate Isometries.- Inequalities for the Zeros of an Orthogonal Expansion of a Polynomial.- Error Inequalities for Discrete Hermite and Spline Interpolation.- Contributed Papers.- An Inequality Concerning Symmetric Functions and Some Applications.- A Note on the Second Largest Eigenvalue of Star-like Trees.- Refinements of Ostrowski's and Fan-Todd's Inequalities.- On the Stability of the Quadratic Functional Equation and Related Topics.- A Dirichlet-type Integral Inequality.- On the Hyers-Ulam-Rassias Stability of Mappings.- Functions With Quasiconvex Derivatives.- Local Approximation by Quasi-polynomials.- Logarithmic Concavity of Distribution Functions.- Sharpening of CauchyInequality.- A Note on the Least Constant in Landau Inequality on a Finite Interval.- Some Inequalities Involving Harmonic Numbers.- Inequalities for Polynomials in L0 Norm.- Some Inequalities for Altitudes and Other Elements of Triangle.- Author Index.

Inhalt
Life and Inequalities: D. S. Mitrinovi? (19081995).- Publications of D. S. Mitrinovi?.- Invited Papers.- Complex Polynomials and Maximal Ranges: Background and Applications.- Exact Classical Polynomial Inequalities in Hp for 0 ? p ? ?.- Vietoris's Inequalities and Hypergeometric Series.- Inequalities for Norms of Intermediate Derivatives and Some Their Applications.- Table of Inequalities in Elliptic Boundary Value Problems.- A Catalogue of Help and Help-type Integral and Series Inequalities.- Remarks of the Jackson and Whitney Constants.- On the Application of the Peano Representation of Linear Functionals in Numerical Analysis.- Inequalities Due to T. S. Nanjundiah.- Marcinkiewicz-Zygmund Inequalities: Methods and Results.- Shapiro's Inequality.- Bernstein Type Inequalities for Rational Functions With Prescribed Poles.- Some Generalisations and Refinements of the Hardy Inequality.- Discrete Inequalities of Wirtinger's Type.- Convexity Properties of Special Functions and Their Zeros.- Inequalities in Circular Arithmetic: A Survey.- Properties of Isometries and Approximate Isometries.- Inequalities for the Zeros of an Orthogonal Expansion of a Polynomial.- Error Inequalities for Discrete Hermite and Spline Interpolation.- Contributed Papers.- An Inequality Concerning Symmetric Functions and Some Applications.- A Note on the Second Largest Eigenvalue of Star-like Trees.- Refinements of Ostrowski's and Fan-Todd's Inequalities.- On the Stability of the Quadratic Functional Equation and Related Topics.- A Dirichlet-type Integral Inequality.- On the Hyers-Ulam-Rassias Stability of Mappings.- Functions With Quasiconvex Derivatives.- Local Approximation by Quasi-polynomials.- Logarithmic Concavity of Distribution Functions.- Sharpening of CauchyInequality.- A Note on the Least Constant in Landau Inequality on a Finite Interval.- Some Inequalities Involving Harmonic Numbers.- Inequalities for Polynomials in L0 Norm.- Some Inequalities for Altitudes and Other Elements of Triangle.- Author Index.