On norms and traces of the derivatives of the $L^2$-projection error
Abstract
We provide error bounds on the traces and norms of the derivative of the $L^2$ projection of an $H^{k}$ function onto the space of polynomials of degree $\leq p$. The bounds are explicit in the order of differentiation and the polynomial degree $p$.
Fields of Study & Subjects
Advanced Numerical Methods in Computational Mathematics
Mathematical functions and polynomials
Mathematical Approximation and Integration
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 10 January 2026
- Document type
- Preprint