Pregled bibliografske jedinice broj: 639903
Popoviciu type characterization of positivity of sums and integrals for convex functions of higher order
Popoviciu type characterization of positivity of sums and integrals for convex functions of higher order // Journal of mathematical inequalities, 7 (2013), 2; 195-212 (međunarodna recenzija, članak, znanstveni)
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Naslov
Popoviciu type characterization of positivity of sums and integrals for convex functions of higher order
Autori
Khan, Asif R. ; Pečarić, Josip ; Varošanec, Sanja
Izvornik
Journal of mathematical inequalities (1846-579X) 7
(2013), 2;
195-212
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
convex function; $\nabla$-convex function; exponential-convexity; mean
Sažetak
Some very general identities of Abel and Popoviciu type for sums $\sum p_i f(x_i)$, $\sum \sum p_{; ; ; ; ; ij}; ; ; ; ; f(x_i, y_j)$ and integral $\int \int P(x, y) f(x, y) dx \, dy$ are deduced. Using obtained identities, positivity of these expressions are characterized for convex functions of higher order. An application in terms of exponential convexity is given.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Perić, Ivan, MZOS ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prehrambeno-biotehnološki fakultet, Zagreb,
Tekstilno-tehnološki 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
