Naslov
General Hilbert-Type Inequalities with Non-conjugate Exponents

Autori
Čižmešija, Aleksandra ; Krnić, Mario ; Pečarić, Josip

Izvornik
Mathematical inequalities & applications (1331-4343) 11 (2008), 2; 237-269

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Inequalities; Hilbert's inequality; Hardy-Hilbert inequality; non-conjugate exponents; homogeneous kernel

Sažetak
In this paper we derive a series of new one-dimensional and multidimensional integral and discrete inequalities of the Hilbert and the Hardy-Hilbert type, with non-conjugate exponents. First, prove and discuss two equivalent general inequalities of such type, as well as their corresponding reverse inequalities. The obtained results are then applied to various settings considering homogeneous functions of a negative real degree. In particular, we prove generalizations and refinements of some recent results of Rassias et al, related to the Hilbert-type inequalities with conjugate exponents, and some new multidimensional inequalities of the Godunova type.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA