As Richard Bellman has so elegantly stated at the Second
International Conference on General Inequalities (Oberwolfach,
1978), "There are three reasons for the study of inequalities:
practical, theoretical, and aesthetic." On the aesthetic aspects,
he said, "As has been pointed out, beauty is in the eye of the
beholder. However, it is generally agreed that certain pieces of
music, art, or mathematics are beautiful. There is an elegance to
inequalities that makes them very attractive." The content of the
Handbook focuses mainly on both old and recent developments on
approximate homomorphisms, on a relation between the Hardy-Hilbert
and the Gabriel inequality, generalized Hardy-Hilbert type
inequalities on multiple weighted Orlicz spaces, half-discrete
Hilbert-type inequalities, on affine mappings, on contractive
operators, on multiplicative Ostrowski and trapezoid inequalities,
Ostrowski type inequalities for the Riemann-Stieltjes integral,
means and related functional inequalities, Weighted Gini means,
controlled additive relations, Szasz-Mirakyan operators, extremal
problems in polynomials and entire functions, applications of
functional equations to Dirichlet problem for doubly connected
domains, nonlinear elliptic problems depending on parameters, on
strongly convex functions, as well as applications to some new
algorithms for solving general equilibrium problems, inequalities
for the Fisher's information measures, financial networks,
mathematical models of mechanical fields in media with inclusions
and holes.
General
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