Pregled bibliografske jedinice broj: 651149
Mixed Symmetric Means Related to The Classical Jensen's Inequality
Mixed Symmetric Means Related to The Classical Jensen's Inequality // Journal of mathematical inequalities, 7 (2013), 1; 43-62 doi:10.7153/jmi-07-05 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 651149 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Mixed Symmetric Means Related to The Classical Jensen's Inequality
Autori
Khan, Khuram Ali ; Pečarić, Josip
Izvornik
Journal of mathematical inequalities (1846-579X) 7
(2013), 1;
43-62
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
convex function; Jensen’s inequality; mixed symmetric means; exponentially convex function
Sažetak
In this paper, we define some new mixed symmetric means corresponding to various refinements of classical Jensen’s inequality. A new refinement of classical Jensen’s inequality is given. We also prove the n-exponential convexity for the functionals constructed from the refinement results. In the end some applications are discussed.
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
