球面上径向基函数最小范数插值逼近的误差估计

Error Estimates of Minimal Norm Interpolant Approximation by the Spherical Radial Basis Functions

研究了球面径向基插值对球面函数的逼近问题,给出了一致逼近的上界估计式．文中结果说明,球面径向基插值的逼近阶会随函数光滑性的提高而增加．

The approximation of spherical functions by spherical radial basis interpolation is investigated. The order for such kind of approximation is estimated. The results show that the order of approximation grows with the increase of the smoothness of the function.