Pregled bibliografske jedinice broj: 716327
On a multidimensional version of the Hilbert-type inequality in a whole plane
On a multidimensional version of the Hilbert-type inequality in a whole plane // Journal of inequalities and applications, (2014), 272-1 doi:10.1186/1029-242X-2014-272 (međunarodna recenzija, članak, znanstveni)
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Naslov
On a multidimensional version of the Hilbert-type inequality in a whole plane
Autori
Vuković, Predrag
Izvornik
Journal of inequalities and applications (1029-242X)
(2014);
272-1
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hilbert-type inequality; homogeneous kernel; the best possible constant; conjugate exponents
Sažetak
The main objective of this paper is a study of some new multidimensional Hilbert-type inequalities with a general homogeneous kernel in whole plane. We derive a pair of equivalent inequalities, and also establish the conditions under which the constant factors included in obtained inequalities are the best possible. Some applications in particular settings are also considered.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
