engleski

Jensen-Mercer Inequality for Functions with Nondecreasing Increments

We present Jensen-Mercer inequality for the class of functions with nondecreasing increments and its refinements obtained by use of index set function. Then, we show how these results can be used to obtain refinements of the analogous variants of Čebyšev's inequality and Hölder's inequality for monotonic sequences.

Čebyšev's inequality, functions with nondecreasing increments, Hölder's inequality, Jensen-Mercer inequality

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