After discovering, the Hilbert inequality was extensively studied by numerous mathematicians. A rich variety of generalizations included inequalities with more general kernels, weight functions and integration domains, extension to a multidimensional case, as well as refinements of the initial Hilbert inequality.
This book is a result of five-year research of authors in Hilbert-type inequalities. The book is based on some twenty significant papers published in the course of the last five years. Roughly speaking, authors give some new generalizations, interpretations, refinements and applications of Hilbert-type inequalities.