On the Lebesgue function for lagrange interpolation with equidistant nodes
نویسندگان
چکیده
منابع مشابه
On the Lebesgue constant for Lagrange interpolation on equidistant nodes
Properties of the Lebesgue function for Lagrange interpolation on equidistant nodes are investigated. It is proved that the Lebesgue function can be formulated both in terms of a hypergeometric function 2F1 and Jacobi polynomials. Moreover an integral expression of the Lebesgue function is also obtained. Finally, the asymptotic behavior of the Lebesgue constant is studied.
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
سال: 1992
ISSN: 0263-6115
DOI: 10.1017/s1446788700032894