The Average Errors for Quasi-Hermite Interpolation on the 1-Fold Integrated Wiener Space
For the approximation in weighted Lp-norm,the weak asymptotic order of the Lp-average errors is obtained,based on a kind of Quasi-Hermite interpolation operator sequence on the 1-fold integrated Wiener space.The result shows that in the sense of information-based complexity,if the permissible information functionals are Hermite data,then the p-average errors of the sequence and the corresponding minima p-average radius of nonadaptive information are equivalent.
Quasi-Hermite interpolation1-fold integrated Wiener spaceaverage errorLp-norm
万方数据
维普
