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A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions


Abramovich, Shoshana; Barić, Josipa; Pečarić, Josip
A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions // Journal of Inequalities in Pure and Applied Mathematics (JIPAM), 9 (2008), 3; 62-1 (međunarodna recenzija, članak, znanstveni)


Naslov
A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions

Autori
Abramovich, Shoshana ; Barić, Josipa ; Pečarić, Josip

Izvornik
Journal of Inequalities in Pure and Applied Mathematics (JIPAM) (1443-5756) 9 (2008), 3; 62-1

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Isotonic linear functionals; Jessen's inequality; Superquadratic functions; Functional quasi-arithmetic and power means of Mercer's type.

Sažetak
A variant of Jessen's inequality for superquadratic functions is proved. This is a refinement of a variant of Jessen's inequality of Mercer's type for convex functions. The result is used to refine some comparison inequalities of Mercer's type between functional power means and between functional quasi-arithmetic means.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
117-1170889-0888 - Generalne nejednakosti i primjene (Josip Pečarić, )
177-1170889-1287 - Konveksne funkcije i primjene (Marko Matić, )

Ustanove
Fakultet elektrotehnike, strojarstva i brodogradnje, Split,
Tekstilno-tehnološki fakultet, Zagreb

Časopis indeksira:


  • Scopus


Uključenost u ostale bibliografske baze podataka:


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts