engleski

Generalizations of Steffensen's inequality via two-point Abel-Gontscharoff polynomial

Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen’s inequality for n−convex functions are obtained and some Ostrowski-type inequalities related to obtained generalizations are given. Furthermore, using the Čebyšev functional some new bounds for the remainder in obtained generalizations are proven and related Grüss-type inequalities are given.

Steffensen’s inequality ; generalizations ; n-convex functions ; Abel-Gontscharoff polynomial ; Ostrowski-type inequality ; Grüss-type inequality

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