An Extension of Chebyshev's Maximum Principle to Several Variables

An Extension of Chebyshev's Maximum Principle to Several Variables

Year:    2013

Author:    Zhaoliang Meng, Zhongxuan Luo

Communications in Mathematical Research , Vol. 29 (2013), Iss. 4 : pp. 363–369

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2013-CMR-19001

Communications in Mathematical Research , Vol. 29 (2013), Iss. 4 : pp. 363–369

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    7

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

Author Details

Zhaoliang Meng

Zhongxuan Luo