engleski

Further Development of Hilbert-type Inequalities

The present book "Further Development of Hilber-type Inequalities" may me regarded as a continuation of "Recent Advances in Hilbert-type inequalities". Namely, 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, we give some new generalizations, interpretations, refinements and applications of Hilbert-type inequalities. The book is divided into nine chapters. Throughout the monograph, presented results are discussed and compared with previously known from the literature. Furthermore, at the end of a section or a chapter we cite the corresponding references for presented results. We also give some relevant references closely related to presented topics. Since this book integrates the whole variety of results that were previously published by several authors in numerous papers, it was almost impossible, despite our great effort, to quite unify the terminology and the notation in the book. Nevertheless, starting from the introductory chapter, but also in each particular chapter, most of the used terminology is defined and explained for the reader's convenience. It is done, of course, on the assumption that the reader is familiar with the basis in real and in functional analysis.

Inequalities, Hilbert-type inequalities, Hardy-Hilbert-type inequalities, the best possible constant, non-conjugate case, Refinements, Operators

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