ARITHMETIC MEAN OF VALUES AND VALUE AT MEAN OF ARGUMENTS FOR CONVEX FUNCTIONS
ARITHMETIC MEAN OF VALUES AND VALUE AT MEAN OF ARGUMENTS FOR CONVEX FUNCTIONS
We give here some extensions of inequalities of Popoviciu and Rado. The idea is to use an inequality [C. P. Niculescu and L. E. Persson, Convex functions. Basic theory and applications (Universitaria Press, Craiova, 2003), Page 4] which gives an approximation of the arithmetic mean of n values of a …