Pregled bibliografske jedinice broj: 651148
More about Jensen's inequality and Cauchy's means for superquadratic functions
More about Jensen's inequality and Cauchy's means for superquadratic functions // Journal of mathematical inequalities, 7 (2013), 1; 11-14 doi:10.7153/jmi-07-02 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 651148 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
More about Jensen's inequality and Cauchy's means for superquadratic functions
Autori
Abramovich, Shoshana ; Farid, G. ; Pečarić, Josip
Izvornik
Journal of mathematical inequalities (1846-579X) 7
(2013), 1;
11-14
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen’s inequality; log-convex function; linear functional; superquadracity; mean value theorems
Sažetak
One of the many inequalities that superquadratic functions satisfy is the parallelogram inequality f(u+v)+f(u-v)>= 2f(u)+2f(v). In this paper, we present Cauchy means for superquadratic functions and other mean value theorems. We show also positive semi-definiteness, log-convexity, exponential convexity of certain set of functions.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb
Profili:
Josip Pečarić
(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
