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
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