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The Jensen and Hermite-Hadamard inequality on the triangle (CROSBI ID 245205)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Pavić, Zlatko 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

Podaci o odgovornosti

Pavić, Zlatko

engleski

The Jensen and Hermite-Hadamard inequality on the triangle

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.

convex function ; triangle ; positive linear functional

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Podaci o izdanju

11 (4)

2017.

1099-1112

objavljeno

1846-579X

1846-579X

10.7153/jmi-2017-11-82

Povezanost rada

Matematika

Poveznice
Indeksiranost