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Inequalities of the Jensen and Edmundson-Lah-Ribarič type for 3-convex functions with applications (CROSBI ID 254617)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Mikić, Rozarija ; Pečarić, Đilda ; Pečarić, Josip Inequalities of the Jensen and Edmundson-Lah-Ribarič type for 3-convex functions with applications // Journal of mathematical inequalities, 12 (2018), 3; 677-692. doi: 10.7153/jmi-2018-12-52

Podaci o odgovornosti

Mikić, Rozarija ; Pečarić, Đilda ; Pečarić, Josip

engleski

Inequalities of the Jensen and Edmundson-Lah-Ribarič type for 3-convex functions with applications

In this paper we derive some Jensen and Edmundson-Lah-Ribarič type inequalities for positive linear functionals and 3-convex functions. Obtained results are then applied to generalized means and power means, as well as to the generalized f-divergence functional. Examples with Zipf-Mandelbrot law are given.

Jensen inequality ; Edmundson-Lah-Ribarič inequality ; 3-convex functions ; f-divergence ; Zipf-Mandelbrot law

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Podaci o izdanju

12 (3)

2018.

677-692

objavljeno

1846-579X

1846-579X

10.7153/jmi-2018-12-52

Povezanost rada

Matematika

Poveznice
Indeksiranost