engleski

Generalizing Jensen-Mercer inequality by use of several Green's functions

We present generalizations of the Jensen-Mercer inequality for the class of n-convex functions, obtained by using several Green's functions. By applying those inequalities we derive some results related to Čebyšev functionals and Ostrowsky type inequalities. Also, we produce new families of n-exponentially convex and exponentially convex functions.

Jensen-Mercer inequality, n-convex functions

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