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Popoviciu type inequalities for n-convex functions via extension of Montgomery identity

Extension of Montgomery's identity is used in derivation of Popoviciu-type inequalities containing sums $\sum_{;i=1};^m p_i f(x_i)$, where f is an n-convex function. Integral analogues and some related results for n-convex functions at a point are also given, as well as Ostrowski-type bounds for the integral remainders of identities associated with the obtained inequalities.

n-convex functions ; n-convex functions at a point ; Montgomery identity ; Čebyšev functional ; exponential convexity

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