Lagrange interpolation and entire functions

• Autores: Radwan Al-Jarrah, Kamel Al-Khaled
• Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 24, Nº. 3-4, 1990, págs. 115-123
• Idioma: inglés
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• Resumen

  • For a function f defined almost everywhere on R. Let {Ln (f)} be the sequence of Lagrange interpolation polynomials that approximates f, where the nodes are taken to be the zeros of a certain sequence of orthogonal polynomials. In this paper, we will give a condition on the decay of the error term 16 |f-Ln(f) |, which makes f the restriction on R of an entire function of order one and finite type. In the case of the Hermite polynomials an estimate on the type is given.