Pregled bibliografske jedinice broj: 431763
Properties of h-convex functions related to the Hermite-Hadamard-Fejer inequalities
Properties of h-convex functions related to the Hermite-Hadamard-Fejer inequalities // Computers & mathematics with applications, 58 (2009), 9; 1869-1877 doi:10.1016/j.camwa.2009.07.073 (međunarodna recenzija, članak, znanstveni)
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Naslov
Properties of h-convex functions related to the Hermite-Hadamard-Fejer inequalities
Autori
Bombardelli, Mea ; Varošanec, Sanja
Izvornik
Computers & mathematics with applications (0898-1221) 58
(2009), 9;
1869-1877
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
convex function ; h-convex function ; Hermite-Hadamard-Fejer inequalities ; mean of order p ; p-logarithmic mean
Sažetak
In this paper we prove the Hermite-Hadamard-Fejer inequalities for an h-convex function and we point out the results for some special classes of functions. Also, some generalizations of the Hermite-Hadamard inequalties and some properties of functions H and F which are naturally joined to the h-convex function are given. Finally, applications on p-logarithmic mean and mean of the order p are obtained.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-037-0372785-2759 - Neasocijativne algebarske strukture i njihove primjene (Volenec, Vladimir, MZOS ) ( CroRIS)
MZOS-058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Perić, Ivan, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prehrambeno-biotehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts