Pregled bibliografske jedinice broj: 854415
Generalized inequalities for convex functions
Generalized inequalities for convex functions // Journal of mathematical extension, 10 (2016), 3; 77-87 (međunarodna recenzija, članak, znanstveni)
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Naslov
Generalized inequalities for convex functions
Autori
Pavić, Zlatko
Izvornik
Journal of mathematical extension (1735-8299) 10
(2016), 3;
77-87
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
positive linear functional ; convex function ; the Jensen inequality ; the Hermite-Hadamard inequality
Sažetak
We investigate the fundamental inequalities for convex functions on the bounded closed interval of real numbers. Using the theory of positive linear functionals, we obtain the functional forms of inequalities as generalizations of the well-known inequalities. Our consideration includes the Jensen, Jensen-Mercer, Fejér and Hermite- Hadamard inequality.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
Uključenost u ostale bibliografske baze podataka::
- MathSciNet