An Extension of Chebyshev's Maximum Principle to Several Variables

An Extension of Chebyshev's Maximum Principle to Several Variables

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摘要 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. 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.

作者 Meng Zhao-liang Luo Zhong-xuan Ma Fu-ming

机构地区 School of Mathematical Sciences School of Software

出处《Communications in Mathematical Research》 CSCD 2013年第4期363-369,共7页 数学研究通讯（英文版）

基金 The NSF(10826071,61033012,19201004,11271060,61272371)of China and the Fundamental Research Funds for the Central Universities

关键词 cubature formula orthogonal polynomial Chebyshev＇s maximum prin-ciple nonstandard Gaussian quadrature cubature formula, orthogonal polynomial, Chebyshev＇s maximum prin-ciple, nonstandard Gaussian quadrature

分类号 O174 [理学—基础数学]

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Communications in Mathematical Research

2013年第4期

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An Extension of Chebyshev's Maximum Principle to Several Variables

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