Lukashov, A. L. and Szabados, József (2016) The order of Lebesgue constant of Lagrange interpolation on several intervals. PERIODICA MATHEMATICA HUNGARICA, 72 (2). pp. 103-111. ISSN 0031-5303
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Official URL: http://dx.doi.org/10.1007/s10998-015-0106-z
Abstract
We consider Lagrange interpolation on the set of finitely many intervals. This problem is closely related to the least deviating polynomial from zero on such sets. We will obtain lower and upper estimates for the corresponding Lebesgue constant. The case of two intervals of equal lengths is simpler, and an explicit construction for two non-symmetric intervals will be given only in a special case.
| Item Type: | Article |
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| Uncontrolled Keywords: | Polynomials; INEQUALITIES; DERIVATIVES; rational functions; polynomial least deviating from zero; Lebesgue constant and function; LAGRANGE INTERPOLATION |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 02 Jan 2017 15:37 |
| Last Modified: | 02 Jan 2017 15:37 |
| URI: | http://real.mtak.hu/id/eprint/44149 |
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