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This article is cited in 4 scientific papers (total in 4 papers)
V. A. Markov's theorems in normed spaces
V. I. Skalyga Design Office `Ametist'
Abstract:
We obtain multidimensional analogues of V. A. Markov's inequalities for
algebraic polynomials on centrally symmetric convex bodies and an analogue
of the Schaeffer–Duffin inequality for polynomials on multidimensional
cubes. We establish necessary and sufficient conditions for these inequalities
to become equalities, and describe the sets of extremals.
Received: 14.03.2006
Citation:
V. I. Skalyga, “V. A. Markov's theorems in normed spaces”, Izv. Math., 72:2 (2008), 383–412
Linking options:
https://www.mathnet.ru/eng/im1134https://doi.org/10.1070/IM2008v072n02ABEH002405 https://www.mathnet.ru/eng/im/v72/i2/p193
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Abstract page: | 469 | Russian version PDF: | 203 | English version PDF: | 17 | References: | 61 | First page: | 9 |
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