Lidstone approximation on the triangle (Q1763628)

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scientific article; zbMATH DE number 2136498
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Lidstone approximation on the triangle
scientific article; zbMATH DE number 2136498

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    Lidstone approximation on the triangle (English)
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    22 February 2005
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    Polynomial approximations with so-called Lidstone-polynomials are studied. Polynomial approximations over triangles and simplices are discussed and the interpolation conditions which can be satisfied by them are studied. Also, remainder formulae and polynomials exactness are provided. Finally, uniform convergence of such approximations is analysed and computational aspects, such as stability, are addressed.
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    Lidstone polynomial
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    simplex
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    multivariate
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    interpolation
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    remainder formulae
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    uniform convergence
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    stability
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