Multivariate Lagrange Interpolation at Sinc Points Error Estimation and Lebesgue Constant
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 Mathematics Research
سال: 2016
ISSN: 1916-9809,1916-9795
DOI: 10.5539/jmr.v8n4p118