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Hermite interpolation and inequalities involving weighted averages of n-convex functions

By using Hermite interpolation we obtain Popoviciu-type inequalities containing sums $\sum_{;i=1};^m p_i f(x_i)$, where f is an n-convex function. We also give integral analogues of the results, as well as bounds for integral remainders of identities associated with the obtained inequalities.

n-convex functions ; Hermite interpolation ; Čebyšev functional

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