engleski

Chebyshev's inequality of the Mercer type

We consider the discrete Jensen-Mercer inequality and Chebyshev's inequality of the Mercer type. We present bounds for Chebyshev's functional of the Mercer type and bounds for the Jensen-Mercer functional in terms of the discrete Ostrowski inequality. We show how these results can be used to establish new refinements of the considered inequalities.

Chebyshev's inequality ; Chebyshev's functional

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