engleski

Estimates on some quadrature rules via weighted Hermite-Hadamard inequality

In this article new estimates for some quadrature rules are given using weighted Hermite-Hadamard inequality for higher order convex functions and weighted version of the integral identity expressed by w-harmonic sequences of functions. Obtained results are applied on weighted one-point formula for numerical integration to derive new estimates of the definite integral values.

Hermite-Hadamard inequality ; higher order convex function ; harmonic sequence ; one-point formula

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