## On Hadamard’s inequality for the convex mappings defined on a ball in the space and applications.(English)Zbl 0951.26010

The author proves an inequality of Hadamard type for real-valued convex functions on a ball in $$\mathbb{R}^3$$. Some mappings naturally connected with this inequality are considered and their properties (monotonicity, convexity, bounds) are investigated.

### MSC:

 26D15 Inequalities for sums, series and integrals 26B25 Convexity of real functions of several variables, generalizations

### Keywords:

inequality of Hadamard type; convex functions
Full Text: