On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain jacobi polynomials
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Artículo de revista
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EspañolPublication Date
1990Metadata
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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.Keywords
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