engleski

Integral error representation of two-point Abel- Gontscharoff interpolating poylnomial and some related generalizations of Steffensen's inequality

Using two-point Abel-Gontscharoff interpolating polynomial some new representations of Steffensen’s inequality are obtained. The obtained representations are used to prove new generalizations of Steffensen’s inequality for n−convex functions and to give some bounds for integrals in these representations.

two-point Abel-Gontscharoff interpolating polynomial ; Steffensen's inequality ; n-convex functions

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