CONSTRUCTION OF GEOMETRIC PARTIAL DIFFERENTIAL EQUATIONS IN COMPUTATIONAL GEOMETRY
第一类双变量Chebyshev多项式的最小零偏差性质研究

By using the theroy of extremal signature proposed by Rivlin and Shapiro,we prove that some of the Chebyshev polynomials in two variables of the first kind presented in are exactly the polynomials of least deviation from zero on the so-called Steiner's domain. Based on the sets of critial points of these Chebysev polynomials,we present several cubature formulas with certain degree.