dorsal/arxiv
View SchemaOn traces of the derivatives of the $L^2$-projection error
| Authors | Torsten Linß, Christos Xenophontos |
|---|---|
| Categories | |
| ArXiv ID | 2601.06625vv1 |
| URL | https://arxiv.org/abs/2601.06625 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We provide derivative estimates for 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 $p$.
{
"annotation_id": "a8b72acb-260e-479f-b06a-f22d9d3b45cf",
"date_created": "2026-02-17T05:53:08.707000Z",
"date_modified": "2026-02-17T05:53:08.707000Z",
"file_hash": "19d3cc930e34172fb5034495aca7c7156fff27de801a2d170e7b1f4607c54ba1",
"private": false,
"record": {
"abstract": "We provide derivative estimates for 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 $p$.",
"arxiv_id": "2601.06625",
"authors": [
"Torsten Lin\u00df",
"Christos Xenophontos"
],
"categories": [
"math.NA",
"cs.NA"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "On traces of the derivatives of the $L^2$-projection error",
"url": "https://arxiv.org/abs/2601.06625",
"version": "v1"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6bb5dd7e-ea6d-4f5f-ae5b-8a1e70ff5090",
"id": "arXiv Dataset",
"type": "Model",
"variant": "snapshot-2026-01-17",
"version": "0.1.0"
},
"user_id": 1000002
}