Kroó, András (2021) Sharp L-p Bernstein type inequality for cuspidal domains in R-d. JOURNAL OF APPROXIMATION THEORY, 267. ISSN 0021-9045
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Official URL: http://doi.org/10.1016/j.jat.2021.105593
Abstract
In this paper we verify a sharp Bernstein type inequality for multivariate algebraic polynomials in L-p norm on general cuspidal domains which is based on a proper measure of the distance to the boundary of the domain. In particular, in case of Lip gamma cuspidal graph domains the exact rate is given by n(2/gamma-1). (C) 2021 TheAuthor(s). Published by Elsevier Inc. y
| Item Type: | Article |
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| Uncontrolled Keywords: | Multivariate Polynomials; Bernstein-Markov inequality; Cuspidal sets; L-p norm; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 03 Jan 2022 14:54 |
| Last Modified: | 03 Jan 2022 14:54 |
| URI: | http://real.mtak.hu/id/eprint/135358 |
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