engleski

Estimates for some quadrature rules via weighted Hermite-Hadamard inequality

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

quadrature formula ; Hermite-Hadamard inequality ; numerical integration

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