On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain Jacobi polynomials
- Autores: Radwan Al-Jarrah, Abedallah Rababah
- Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 24, Nº. 1-2, 1990, págs. 51-64
- Idioma: inglés
- Enlaces
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Resumen
In this paper, we study the Hermite-Fejér interpolation, Hn(f,x), for a function f of bounded variation on [-1,1] when the inter)olation is taken over the zeros of Jacobi polynomials, Pn (∝,β ) (x) when |∝|, | β| ≤ ½.
Our main result is an estimate for the rate of convergence of Hn(f,x) at points of continuity of f,and a special attention is given to the interpolation over the zeros of the Legendre polynomials.<-->
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