engleski

New estimates on the weighted three-point quadrature rule

In this article, weighted three-point integral quadrature formula is estimated by the new bounds using the new method of calculating estimates for quadrature rules applying 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 importance of those results lies in providing new estimates of the definite integral values using weighted three-point formula for numerical integration. Obtained results are employed in establishing new estimates for the Legendre-Gauss three point quadrature formula using specific form of the weight function $w$.

higher order convex function ; harmonic sequence ; three-point formula ; weighted function

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