Pregled bibliografske jedinice broj: 513399
On exponential convexity, Jensen-Steffensen-Boas Inequality, and Cauchy's means for superquadratic functions
On exponential convexity, Jensen-Steffensen-Boas Inequality, and Cauchy's means for superquadratic functions // Journal of Mathematical Inequalities, 5 (2011), 2; 169-180 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 513399 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On exponential convexity, Jensen-Steffensen-Boas Inequality, and Cauchy's means for superquadratic functions
Autori
Abramovich, Shoshana ; Farid, Ghulam ; Ivelić, Slavica ; Pečarić, Josip
Izvornik
Journal of Mathematical Inequalities (1846-579X) 5
(2011), 2;
169-180
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen-Steffensen inequality; superquadratic functions; Cauchy Means; Monotonicity; exponential convexity; log-convexity
Sažetak
In this paper we define new means of Cauchy's type using some recently obtained results that refine the Jensen-Steffensen-Boas inequality for convex and superquadratic functions. Applying so called exp-convex method we interpret results in the form of exponentially convex or (as a special case) logarithmically convex functions. We also present some related results which generalize results in <cite>AFP</cite>.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Građevinarstvo
POVEZANOST RADA
Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
083-0831529-1528 - Pronos zagađenja u podzemlju i procjena rizika kao posljedica odlaganja otpada (Andričević, Roko, MZO ) ( CroRIS)
Ustanove:
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki 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
- Zentrallblatt für Mathematik/Mathematical Abstracts
