Lagrange interpolation for continuous piecewise smooth functions |
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| Authors: | Sergio Amat Sonia Busquier Antonio Escudero J Carlos Trillo |
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| Institution: | Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Paseo Alfonso XIII, 52, 30203 Cartagena (Murcia), Spain |
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| Abstract: | This note is devoted to Lagrange interpolation for continuous piecewise smooth functions. A new family of interpolatory functions with explicit approximation error bounds is obtained. We apply the theory to the classical Lagrange interpolation. |
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| Keywords: | 41A05 41A10 65D05 65D17 |
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