Recent Advances in Hilbert-type Inequalities

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Ova knjiga je treća u nizu matematičkih monografija iz područja nejednakosti i njihovih primjena. Nastala je na temelju znanstvenih radova hrvatskih matematičara u području matematičkih nejednakosti s primjenama u numeričkoj matematici.

Recent Advances in Hilbert-type inequalities is a crown of decennial research of several authors in the theory of Hilbert-type inequalities. The book is based on some thirty significant papers dealing with this problem area, published in the course of the last ten years. The present book provides a unified approach to Hilbert-type inequalities, the main results are established in general sigma finite measure spaces, with general kernels and weight functions. A special emphasis has been dedicated to establishing diverse methods for improving original Hilbert-type inequalities. Diverse generalizations, refinements and applications of Hilbert-type inequalities are presented.