AN EXTENSION OF JENSEN-MERCER INEQUALITY FOR FUNCTIONS WITH NONDECREASING INCREMENTS.

We present an extension of Jensen-Mercer inequality for functions with nondecreasing increments along with its refinements. A Mercer type variant is given for the Burkill-Mirsky-Pečarić’s result and related inequalities for the finite sequence of k−tuples monotone in means. [ABSTRACT FROM AUTHOR]