Pregled bibliografske jedinice broj: 638627
On Willett's, Godunova-Levin's and Rozanova's Opial-type inequalities with related Stolarsky type means
On Willett's, Godunova-Levin's and Rozanova's Opial-type inequalities with related Stolarsky type means // Mathematical notes, 96 (2014), 6; 841-854 (međunarodna recenzija, članak, znanstveni)
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Naslov
On Willett's, Godunova-Levin's and Rozanova's Opial-type inequalities with related Stolarsky type means
Autori
Andrić, Maja ; Barbir, Ana ; Pečarić, Josip
Izvornik
Mathematical notes (0001-4346) 96
(2014), 6;
841-854
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Willett's inequality; Godunova-Levin's inequality; Rozanova's inequality; Cauchy mean value theorems; exponential convexity; Stolarsky means
Sažetak
In this paper we consider generalizations of Opial's inequality due to Willett, Godunova, Levin and Rozanova. Cauchy type mean value theorems are proved and used in studying Stolarsky type means defined by the obtained inequalities. Also, a method of producing n-exponentially convex and exponentially convex functions is applied.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
083-0000000-3227 - PRIMJENA ALGEBRE U GEOMETRIJI 2
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
