An Extension of Chebyshev's Maximum Principle to Several Variables

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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.

Keywords:

cubature formula orthogonal polynomial Chebyshev's maximum principle nonstandard Gaussian quadrature.
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An Extension of Chebyshev’s Maximum Principle to Several Variables. (2021). Communications in Mathematical Research, 29(4), 363-369. https://www.global-sci.com/index.php/cmr/article/view/8788