Pregled bibliografske jedinice broj: 592483
Hilbert-type inequalities for Hilbert space operators
Hilbert-type inequalities for Hilbert space operators // Quaestiones Methematicae, 36 (2013), 2; 209-223 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 592483 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Hilbert-type inequalities for Hilbert space operators
Autori
Krnić, Mario
Izvornik
Quaestiones Methematicae (1607-3606) 36
(2013), 2;
209-223
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hilbert operator inequality; Holder operator inequality; Hermite-Hadamard inequality; Hilbert space; positive operator; geometric mean; homogeneous kernel; Beta function
Sažetak
In this paper we establish a general form of the Hilbert inequality for positive invertible operators on a Hilbert space. Special emphasis is given to such inequalities with homogeneous kernels. In some general cases the best possible constant factors are also derived. Finally, we obtain the improvement of previously deduced results, based on the application of the Hermite-Hadamard inequality.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Mario Krnić
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
