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Functional inequalities for superquadratic functions


Banić, Senka; Varošanec, Sanja
Functional inequalities for superquadratic functions // International journal of pure and applied mathematics, 43 (2008), 4; 537-549 (podatak o recenziji nije dostupan, članak, znanstveni)


Naslov
Functional inequalities for superquadratic functions

Autori
Banić, Senka ; Varošanec, Sanja

Izvornik
International journal of pure and applied mathematics (1311-8080) 43 (2008), 4; 537-549

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

Ključne riječi
Convex functions; Holder's inequality; Jensen's inequality; linear isotonic functional; Minkowski's inequality; Popoviciu's inequality; superquadratic functions

Sažetak
Using some characterizations of superquadratic function we obtain a sequence of inequalities for linear isotonic functionals and superquadratic functions which is analogous to the classical inequalities such as Jensen's, its converse, Slater's, Holder's, Popoviciu's and Minkowski's inequalities. If the considered function is convex at the same time, we get refinements of the well-known classical inequalities.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Ivan Perić, )
177-1170889-1287 - Konveksne funkcije i primjene (Marko Matić, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prehrambeno-biotehnološki fakultet, Zagreb,
Fakultet građevinarstva, arhitekture i geodezije, Split,
Prirodoslovno-matematički fakultet, Split

Uključenost u ostale bibliografske baze podataka:


  • MathSciNet
  • Mathematical Reviews