engleski

Weighted Hermite-Hadamard Inequalites via Steffensen’s Inequality and Lidstone Interpolating Polynomial

One of the most interesting results relating to convexity is Hermite-Hadamard’s inequality. It gives us an estimate of the integral mean value of a continuous convex function. The weighted Hermite-Hadamard inequality for convex functions and Steffensen’s inequality have been the starting point for many recent advances in the theory of inequalities. In this talk we will use the new method on known identities related to generalizations of Steffensen’s inequality via Lidstone interpolating polynomial to obtain new weighted Hermite-Hadamard inequalities as well as some estimates for Steffensen-type differences.

Lidstone interpolating polynomial ; convex functions ; generalizations ; estimates

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