Naslov
Recent Advances in Hilbert-type Inequalities

Autori
Krnić, Mario ; Pečarić, Josip ; Perić, Ivan ; Vuković, Predrag

Vrsta, podvrsta i kategorija knjige
Autorske knjige, monografija, znanstvena

Izdavač
Element

Grad
Zagreb

Godina
2012

Stranica
246

ISBN
978-953-197-574-2

Ključne riječi
Inequalities; multiple Hilbert's inequality; multiple Hardy-Hilbert's inequality; equivalent inequalities; non-conjugate parameters; gamma function; Selberg's integral; the best possible constant; hypergeometric function

Sažetak
The present book is a crown of decennial research of several authors in this area. More precisely, this book is based on some thirty significant papers dealing with Hilbert-type inequalities, published in the course of the last ten years. We tried to provide a unified approach to Hilbert-type inequalities. More precisely, the original Hilbert inequality can be regarded in a more general setting, with integrals taken over a $\sigma$-finite measure space, and with a general kernel and weight functions. In addition, Hilbert-type inequalities can also be considered with exponents which are not mutually conjugate. On the other hand, in recent time a special emphasis has been dedicated to establishing methods for improving original Hilbert-type inequalities. These are the main topics we deal with in this monograph. The book is divided into ten chapters.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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