Sharp inequality of three point Gauss-Legendre quadrature rule




Gauss quadrature formula, Holder inequality


An interesting identity for 3-point Gauss-Legendre quadrature rule using functions that are n-times differentiable. By applying the established identity, a sharp inequality which gives an error bound for 3-point Gauss-Legendre quadrature rule and some generalizations are derived. At the end, an application in numerical integration is given.

Author Biography

Artion Kashuri, University Ismail Qemali Vlora.

Dept. of Mathematics, Faculty of Technical Science.


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How to Cite

A. Kashuri, “Sharp inequality of three point Gauss-Legendre quadrature rule”, Proyecciones (Antofagasta, On line), vol. 39, no. 3, pp. 639-649, May 2020.