Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642032 | Journal of Computational and Applied Mathematics | 2008 | 10 Pages |
Abstract
We study integral refinable operators of integral type exact on polynomials of even degree constructed by using refinable B-bases of GP type. We prove a general theorem of existence and uniqueness. Then we study the LpLp-norm of these operators and we give error bounds in approximating functions and their derivatives belonging to suitable classes. Numerical results and comparisons with other quasi-interpolatory operators having the same order of exactness on polynomial reproduction are presented.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
L. Gori, E. Pellegrino, E. Santi,