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Lebesgue constant for Lagrange interpolation on equidistant nodes |
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| Authors: | A Eisinberg G Fedele G Franzè |
| Abstract: | Properties of Lebesgue function for Lagrange interpolation on equidistant nodes are investigated.It is proved that Lebesgue function can be formulated both in terms of a hypergeometric function 2F1 and Jacobi polynomials. Moreover, an integral expression of Lebesgue function is also obtained and the asymptotic behavior of Lebesgue constant is studied. |
| Keywords: | Lagrange interpolation Lebesgue function Lebesgue constant EQUIDISTANT NODES LAGRANGE INTERPOLATION integral expression the asymptotic behavior Lebesgue constant hypergeometric function Jacobi polynomials Properties Lebesgue function Lagrange interpolation equidistant nodes |
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