Data · dataset · 2014
BIJ: Matlab programs for testing and extending Bernstein's Inequality for Jacobi polynomials
Listed in DataCite
<p>Bernstein’s inequality for Jacobi polynomials with parameters alpha, beta is analyzed here analytically and, above all, computationally with regard to validity and sharpness.
Description
Computation suggests that the inequality holds with new, somewhat larger, constants in any region R_s={-1/2<=alpha<=s, -1/2<=beta<=s}. Best constants are provided for s =1 : .5 : 4 and s =5 : 1 : 10.
The work also sheds new light on the so-called Erdelyi–Magnus–Nevai conjecture for orthonormal Jacobi polynomials, adding further support for its validity and suggesting .66198126. . . as the best constant implied in the conjecture.</p>
Links
Where it is published
- Repository landing page purr.purdue.edu/publications/1569/1 ↗
landing page · from DataCite
- DOI doi.org/10.4231/r7v985z5 ↗
DOI / persistent id · from DataCite
Documentation and papers
- Creative Commons Zero v1.0 Universal creativecommons.org/publicdomain/zero/1.0/legalcode ↗
license · from DataCite
Catalogue records · 2
- DataCite API api.datacite.org/dois/10.4231/r7v985z5 ↗
metadata API · from DataCite
- DataCite Commons commons.datacite.org/doi.org/10.4231/r7v985z5 ↗
catalogue entry · from DataCite
Topics
- Stated by source
- Mathematics
- From keywords
- Computer Science & AI · Mathematics & Statistics
Provenance · 1 source records, 10 field assertions
| Source | Key | Last seen | Raw |
|---|---|---|---|
| DataCite | 10.4231/r7v985z5 | 12 d ago | JSON v1 |
| Field | Assertion | Extractor | Evidence |
|---|---|---|---|
| access_level | source · DataCite | connector:datacite@1.0.0 | /data/attributes/rightsList |
| byte_size | source · DataCite | connector:datacite@1.0.0 | |
| concepts[field].fos:mathematics | source · DataCite | connector:datacite@1.0.0 | |
| concepts[field].local:field:computer-science-ai | mapping · DataCite | vocabulary-mapper@1.0.0 | keywords['Computer Science'] |
| concepts[field].local:field:mathematics-statistics | mapping · DataCite | vocabulary-mapper@1.0.0 | keywords['Mathematics'] |
| description | source · DataCite | connector:datacite@1.0.0 | /data/attributes/descriptions |
| license | source · DataCite | connector:datacite@1.0.0 | /data/attributes/rightsList |
| publication_date | source · DataCite | connector:datacite@1.0.0 | /data/attributes/dates |
| title | source · DataCite | connector:datacite@1.0.0 | /data/attributes/titles/0/title |
| version_label | source · DataCite | connector:datacite@1.0.0 |