engleski

Generalizations of Steffensen's inequality by interpolating polynomials

We present results obtained by one of the interpolating polynomials i.e. Lidstone’s polynomial. Firstly, we give few valuable identities and then using these identities we prove new generalizations of Steffensen’s inequality for (2n)−convex and (2n + 1)−convex functions. Further, using Cebyšev and Grüss type inequalities we consider the bounds for the integrals in the perturben ˇ versions of the previously described identities

Steffensen's inequality, interpolating polynomials, n-convex functions

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