engleski

Generalization of Popoviciu type inequalities via Fink's identity

We obtained useful identities via Fink's identity, by which the inequality of Popoviciu for convex functions is generalized for higher order convex functions. We investigate the bounds for the identities related to the generalization of the Popoviciu inequality using inequalities for the Čebyšev functional. Some results relating to the Grüss and Ostrowski type inequalities are constructed.

Convex function, divided difference, Fink's identity, Čebyšev functional, Grüss inequality, Ostrowski inequality

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