Geodesic
$a(x)$-Convex Functions and Their Inequalities
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 3

Voir la notice de l'article provenant de la source BMMS

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.
Classification : Primary: 26D15; Secondary: 26D10. 
Kristina Krulic; Josip Pecaric; Ksenija Smoljak. $a(x)$-Convex Functions and Their Inequalities. Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2012_35_3_a9/
@article{BMMS_2012_35_3_a9,
     author = {Kristina Krulic and Josip Pecaric and Ksenija Smoljak},
     title = {$a(x)${-Convex} {Functions} and {Their} {Inequalities}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2012},
     volume = {35},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2012_35_3_a9/}
}
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