Mean convergence of Hermite interpolation
The aim of this paper are weighted mean convergence properties of Hermite interpolation. This interpolation is based on zeros of certain generalized Jacobi polynomials. Necessary and sufficient conditions for such convergence for all continuously differentiable functions are given. Finally, convergence with given order, and convergence of the differentiated Hermite interpolation process are studied.
scientific article; zbMATH DE number 636071