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Generalizations of Steffensen's inequality by Lidstone's polynomial and related results

In this poster we present few valuable identities obtained by Lidstone's polynomial. Using these identities we prove new generalizations of Steffensen's inequality for (2n)-convex and (2n+1)-convex functions.Further, using Čebyšev and Gruss type inequalities we considet the bounds for integrals in the perturben versions of previously described identities.

Steffensen's inequality, Lidstone polynomial

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