ISSN: 2310-757X
Please use this identifier to cite or link to this item:
http://elar.urfu.ru/handle/10995/27115| Title: | A sharp Markov brothers-type inequality in the spaces L∞ and L1 on the segment |
| Authors: | Simonov, I. E. |
| Issue Date: | 2013 |
| Publisher: | Mathematical Notes |
| Citation: | Simonov I. E. A sharp Markov brothers-type inequality in the spaces L∞ and L1 on the segment / I. E. Simonov // Mathematical Notes. — 2013. — Vol. 93. — № 3-4. — P. 607-615. |
| Abstract: | The inequality between the uniform norm of the derivative of order ℓ of an algebraic polynomial of degree n and the L1-norm of the polynomial itself on a segment are studied. For all ℓ ≥ (n - 1)/3, the exact constant and the extremal polynomial are written out. © 2013 Pleiades Publishing, Ltd. |
| Keywords: | ALGEBRAIC POLYNOMIAL CHEBYSHEV POLYNOMIAL LEGENDRE POLYNOMIAL MARKOV BROTHERS' INEQUALITY TRIGONOMETRIC POLYNOMIAL |
| URI: | http://elar.urfu.ru/handle/10995/27115 |
| RSCI ID: | 20432617 |
| SCOPUS ID: | 84876428515 |
| WOS ID: | 000317986600029 |
| PURE ID: | 916594 |
| ISSN: | 0001-4346 |
| DOI: | 10.1134/S0001434613030292 |
| Appears in Collections: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
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|---|---|---|---|---|
| scopus-2013-0133.pdf | 601,15 kB | Adobe PDF | View/Open |
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