Pregled bibliografske jedinice broj: 574221
A refined discrete Hilbert inequality via the Hermite-Hadamard inequality
A refined discrete Hilbert inequality via the Hermite-Hadamard inequality // Computers & mathematics with applications, 63 (2012), 12; 1587-1596 doi:10.1016/j.camwa.2012.03.014 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 574221 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A refined discrete Hilbert inequality via the Hermite-Hadamard inequality
Autori
Krnić, Mario
Izvornik
Computers & mathematics with applications (0898-1221) 63
(2012), 12;
1587-1596
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hilbert inequality; Hermite-Hadamard inequality; convexity; Beta function; the incomplete Beta function
Sažetak
In this paper we establish a general method for improving the discrete Hilbert-type inequalities via the Hermite-Hadamard inequality. The general result is then applied to homogeneous kernels. Moreover, some particular homogeneous kernels are considered, which yields the whole series of refinements of some recent results known from the literature. In addition some particular non-homogeneous cases are also considered.
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:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
