Title of article :
a(x)-Convex Functions and Their Inequalities
Author/Authors :
KRULIC, KRISTINA Prilaz baruna Filipovica 28a, Croatia , PECARIC, JOSIP Prilaz baruna Filipovica 28a, Croatia , SMOLJAK, KSENIJA Prilaz baruna Filipovica 28a, Croatia
Abstract :
In this paper a(x)-convex functions are defined and Jensen, Hermite-Hadamard, Lah-Ribaric and other inequalities for them are derived. Related analogous of the Lagrange and the Cauchy mean value theorems are also obtained and means of the Cauchy type are generated.
Keywords :
a(x) , convex function , convex functions , the Jensen inequality , the Hermite , Hadamard inequality.
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
