| Subject |
Functional analysis |
| Title |
ON JENSEN'S INEQUALITY INVOLVING AVERAGES OF CONVEX FUNCTIONS |
| Author(s) |
Julij Jaksetic, Josip Pecaric, AND Gholam Roqia |
| Keywords |
Jensen’s inequality, log-convex function, exponential convexity. |
| Abstract |
Using Wulbert‘s result from [1] , we deduce a method for constructing exponentially convex functions. These functions have monotonicity property with respect to defining parameters. Then constructed exponentially convex functions are used for construction of two and three parameters Cauchy means. Particularly, we generalize recent results on Cauchy means which was proposed in [2], [3]. |
