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Pregled bibliografske jedinice broj: 513397

More on Cauchy's means and generalizations of Hadamard inequality via converses of Jensen's inequality and superquadracity


Abramovich, Shoshana; Farid, Ghulam; Ivelić, Slavica; Pečarić, Josip
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)


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


Projekt / tema
083-0831529-1528 - Pronos zagađenja u podzemlju i procjena rizika kao posljedica odlaganja otpada (Roko Andričević, )
117-1170889-0888 - Generalne nejednakosti i primjene (Josip Pečarić, )

Ustanove
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb

Časopis indeksira:


  • Scopus


Uključenost u ostale bibliografske baze podataka:


  • Zentrallblatt für Mathematik/Mathematical Abstracts
  • MathSciNet