Pregled bibliografske jedinice broj: 1180380
Convex functions on the interval in a real vector space
Convex functions on the interval in a real vector space // Turkish Journal of Inequalities, 5 (2021), 1; 104-114 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1180380 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Convex functions on the interval in a real vector space
Autori
Pavić, Zlatko
Izvornik
Turkish Journal of Inequalities (2602-4187) 5
(2021), 1;
104-114
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
convex function ; slope ; Hermite-Hadamard inequality ; Jensen inequality
Sažetak
The article investigates convex functions defined on the interval in a real vector space. The first objective is to establish the most relevant inequalities relying on the support and secant lines. These are the Hermite-Hadamard and Jensen type inequalities. The second objective is to propose more appropriate notations related to the convex function subderivative and subdifferential.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
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