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Optimal Symmetrical Points for Polynomial Interpolation of Real Functions in theTetrahedron

机译：四面体中实函数多项式插值的最佳对称点

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摘要

The main result of this paper is the computation of the mean optimal symmetricalinterpolation points in the tetrahedron up to degree 9. This interpolation set has the smallest Lebesgue constant known today.

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作者
Chen, Q.; Babuska, I.;
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年度 1995
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总页数 13
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Polynomials; Interpolation; Optimization; Computations; Approximation; Symmetry; Numerical analysis; Set theory; Point theorem; Lagrangian functions;

机译：多项式;插值;优化;计算;逼近;对称性;数值分析;集合论;点定理;拉格朗日函数;

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2. Realization and interpolation for Schur-Agler-class functions on domains with matrix polynomial defining function in C-n [J] . Ball JA, Bolotnikov V Journal of Functional Analysis . 2004,第1期

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3. Comparison of interpolation polynomials with divided differences, interpolation polynomials with finite differences, and quadratic functions obtained by the least squares method in modeling of chromatographic responses [J] . Tijana Rakic, Zorica Stanimirovic, Aleksandar Denic Journal of Chemometrics . 2013,第12期

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Optimal Symmetrical Points for Polynomial Interpolation of Real Functions in theTetrahedron

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