Pregled bibliografske jedinice broj: 513397
More on Cauchy's means and generalizations of Hadamard inequality via converses of Jensen's inequality and superquadracity
More on Cauchy's means and generalizations of Hadamard inequality via converses of Jensen's inequality and superquadracity // International Journal of Pure and Applied Mathematics, 69 (2011), 1; 97-116 (međunarodna recenzija, članak, znanstveni)
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Naslov
More on Cauchy's means and generalizations of Hadamard inequality via converses of Jensen's inequality and superquadracity
Autori
Abramovich, Shoshana ; Farid, Ghulam ; Ivelić, Slavica ; Pečarić, Josip
Izvornik
International Journal of Pure and Applied Mathematics (1311-8080) 69
(2011), 1;
97-116
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
convex functions; Hermite-Hadamard inequalities; superquadratic functions; Cauchy means; monotonicity
Sažetak
In this paper we present results involving positive linear functionals which generalize results that refine the Hadamard inequality. We also present refinements of results proved for Jensen's inequality and introduce new means of Cauchy's type using converses of Jensen's inequality for superquadratic functions.
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:
- Scopus
Uključenost u ostale bibliografske baze podataka::
- Zentrallblatt für Mathematik/Mathematical Abstracts
- MathSciNet
