境界条件を満たす最良近似多項式について

概要

論文の詳細を見る
In approximation of functions, the best approximation is known as a good method by its uniform distribution of errors over the interval and its bounded maximum error. While approximations of functions are often used to describe physical phenomena, it is usually required to satisfy boundary conditions. When the best approximation method is applied, there often arises the case that boundaries are deviation points. In that case, the maximum error is attained at the boundary. In this paper, the notion of locally perfect linear independency is introduced and we prove the existence and the uniqueness of the best approximation polynomial satisfying boundary conditions. Especially, we show algorithms to obtain best approximation polynomials satisfying boundary conditions for even (odd) functions and functions with 0 on boundaries.
日本シミュレーション学会の論文
1987-11-15