Pregled bibliografske jedinice broj: 651083
On the refinements of the Hermite Hadamard inequality
On the refinements of the Hermite Hadamard inequality // Journal of inequalities and applications, 2012 (2012), 155, 14 doi:10.1186/1029-242X-2012-155 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 651083 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the refinements of the Hermite Hadamard inequality
Autori
Khalid, Sadia ; Pečarić, Josip
Izvornik
Journal of inequalities and applications (1025-5834) 2012
(2012);
155, 14
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hermite-Hadamard inequality ; refinements ; n-exponential and logarithmic convexity ; mean value theorems
Sažetak
In this paper, we present some refinements of the classical Hermite-Hadamard integral inequality for convex functions. Further, we give the concept of n-exponential convexity and log-convexity of the functions associated with the linear functionals defined by these inequalities and prove monotonicity property of the generalized Cauchy means obtained via these functionals. Finally, we give several examples of the families of functions for which the results can be applied.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb
Profili:
Josip Pečarić
(autor)
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
