Directional Chebyshev constants and transfinite diameter are defined for compact subsets of a complex algebraic curve in ℂ2. Given such a compact subset K, a formula equating the geometric mean of the ...

Chebyshev Polynomials: A sequence of orthogonal polynomials defined on the interval [–1, 1], widely used in numerical approximation and spectral methods due to their optimality in minimising errors.

Sang Dong Kim, Byeong Chun Shin, CHEBYSHEV WEIGHTED NORM LEAST-SQUARES SPECTRAL METHODS FOR THE ELLIPTIC PROBLEM, Journal of Computational Mathematics, Vol. 24, No. 4 (JULY 2006), pp. 451-462 ...

The method is based on a domain splitting, transformations using asymptotics and bivariate Chebyshev interpolation. Numerical experiments confirm a high efficiency compared to state-of-the-art ...