engleski

Variants of Cebysev's inequality with applications

Several variants of Čebyšev's inequality for two monotonic n-tuples and also k≥ 3 nonegative n-tuples monotonic in the same direction are presented. Immediately after that their refinements of Ostrowski's type are given. Obtained results are used to prove generalizations of discrete Milne's inequality and its converse in which weights satisfy conditions as in Jensen-Steffensen's inequality.

Čebyšev's inequality ; Ostrowski's inequalities ; discrete Milne's inequality

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