An Extension of Chebyshev's Maximum Principle to Several Variables

Authors

  • Zhaoliang Meng
  • Zhongxuan Luo

Keywords:

cubature formula, orthogonal polynomial, Chebyshev's maximum principle, nonstandard Gaussian quadrature.

Abstract

In this article, we generalize Chebyshev's maximum principle to several variables. Some analogous maximum formulae for the special integration functional are given. A sufficient condition of the existence of Chebyshev's maximum principle is also obtained.

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Published

2021-05-19

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  • 2513

Issue

Vol. 29 No. 4 (2013)

Section

Articles

How to Cite

An Extension of Chebyshev’s Maximum Principle to Several Variables. (2021). Communications in Mathematical Research, 29(4), 363-369. https://global-sci.com/index.php/cmr/article/view/8788