Volume 35 • Number 3 • 2012   • $a(x)$-Convex Functions and Their Inequalities Kristina Krulic, Josip Pecaric and Ksenija Smoljak 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. 2010 Mathematics Subject Classification: Primary: 26D15; Secondary: 26D10. Full text: PDF