Pregled bibliografske jedinice broj: 618814
On a new class of Hardy-type inequalities
On a new class of Hardy-type inequalities // Journal of inequalities and applications, 2012 (2012), 259-1 doi:10.1186/1029-242X-2012-259 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 618814 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On a new class of Hardy-type inequalities
Autori
Adeleke, E. O. ; Čižmešija, Aleksandra ; Oguntuase, Jamea A. ; Persson, Lars-Erik ; Pokaz, Dora
Izvornik
Journal of inequalities and applications (1029-242X) 2012
(2012);
259-1
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hardy inequality; power weights; convex functions; superquadratic functions
Sažetak
In this paper, we generalize a Hardy-type inequality to the class of arbitrary non-negative functions bounded from below and above with a convex function multiplied with positive real constants. This enables us to obtain new generalizations of the classical integral Hardy's, Hardy-Hilbert's, Hardy-Littlewood-P\'{; ; o}; ; lya's and P\'{; ; o}; ; lya-Knopp's inequalities as well as of Godunova's and of some recently obtained inequalities in multidimensional settings. Finally, we apply a similar idea to functions bounded from below and above with a superquadratic function.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Perić, Ivan, MZOS ) ( CroRIS)
Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb
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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
