Pregled bibliografske jedinice broj: 910675
The Jensen and Hermite-Hadamard inequality on the triangle
The Jensen and Hermite-Hadamard inequality on the triangle // Journal of mathematical inequalities, 11 (2017), 4; 1099-1112 doi:10.7153/jmi-2017-11-82 (međunarodna recenzija, članak, znanstveni)
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Naslov
The Jensen and Hermite-Hadamard inequality on the triangle
Autori
Pavić, Zlatko
Izvornik
Journal of mathematical inequalities (1846-579X) 11
(2017), 4;
1099-1112
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
convex function ; triangle ; positive linear functional
Sažetak
We study the functional forms of the most important inequalities concerning convex functions on the triangle. Our intension is to construct the functional form which implies the integral and discrete form of the Jensen inequality, the Fej\'{; ; ; e}; ; ; r, and so the Hermite-Hadamard inequality. To reach this goal, we combine features of positive linear functionals and convex functions.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
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
