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Fejer type inequalities for higher order convex functions and quadrature formulae

The aim of this paper is to obtain Fejer type inequalities for higher-order convex functions and the general weighted integral formula involving w- harmonic sequences of functions. Also, Fejer type inequalities are obtained for the general three, four, and five-point quadrature formulae. Further, Fejer type inequalities for the corrected three corrected four and corrected five-point quadrature formulae are considered. In special cases, Fejer type estimates for Simpson, Maclaurin, corrected Simpson, and corrected Maclaurin quadrature rules are derived.

Hermite-Hadamard inequalitiesFejer inequalitiesHigher order convex functionsQuadrature formulae

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