Sharp inequality of three point Gauss-Legendre quadrature rule

• Kashuri, Artion ^[1]
  1. [1] University Ismail Qemali Vlora.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 3, 2020, págs. 639-649
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-2020-03-0039
• Enlaces
  • Texto completo
• Resumen

  • 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.

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