Recent Progress in Inequalities

ISBN-13: 9789048149452 / Angielski / Miękka / 2010 / 524 str.

G. V. Milovanovic

Opis

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 Birkhauser (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.

Spis treści

Preface. Life and Inequalities: D.S. Mitrinovic (1908-1995); G.V. Milovanovic. Publications of D.S. Mitrinovic; R.Z. Djordjevic, R.R. Janic. Invited Papers. Complex Polynomials and Maximal Ranges: Background and Applications; V.V. Andrievskii, S. Ruscheweyh. Exact Classical Polynomial Inequalities in Hp for 0 Note on the Second Largest Eigenvalue of Star-Like Trees; F.K. Bell, S.K. Simić. Refinements of Ostrowski's and Fan-Todd's Inequalities; M. Bjelica. On the Stability of the Quadratic Functional Equation and Related Topics; S. Czerwik. A Dirichlet-Type Integral Inequality; W.N. Everitt. On the Hyers-Ulam-Rassias Stability of Mappings; P. Găvrutţă. Functions with Quasiconvex Derivatives; V. Govedarica, M. Jovanović. Local Approximation by Quasi-Polynomials; Yu. Kryakin. Logarithmic Concavity of Distribution Functions; M. Merkle. Sharpening of Cauchy Inequality; Ž. Mijalković, M. Mijalković. A Note on the Least Constant in Landau Inequality on a Finite Interval; A.Yu. Shadrin. Some Inequalities Involving Harmonic Numbers; M.S. Stanković, et al. Inequalities for Polynomials in L0 Norm; E.A. Storozenko. Some Inequalities for Altitudes and Other Elements of Triangle; M.R. Žižović, M.R. Stefanović. Author Index.