Szabados, J. (2017) Bernstein-type polynomials on several intervals. SPRINGER IN OPTIMIZATION AND ITS APPLICATIONS, 117. pp. 301-315. ISSN 1931-6828
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Official URL: https://doi.org/10.1007/978-3-319-49242-1_14
Abstract
We construct the analogues of Bernstein polynomials on the set Js of s finitely many intervals. Two cases are considered: first when there are no restrictions on Js, and then when Js has a so-called T-polynomial. On such sets we define approximating operators resembling the classic Bernstein polynomials. Reproducing and interpolation properties as well as estimates for the rate of convergence are given. © Springer International Publishing AG 2017.
| Item Type: | Article |
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| Uncontrolled Keywords: | T-polynomial; Set of intervals; rate of convergence; Bernstein polynomial |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 13 Feb 2018 07:20 |
| Last Modified: | 13 Feb 2018 07:20 |
| URI: | http://real.mtak.hu/id/eprint/74315 |
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