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Izvestiya: Mathematics, 2008, Volume 72, Issue 2, Pages 383–412
DOI: https://doi.org/10.1070/IM2008v072n02ABEH002405 (Mi im1134) 		 
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'
English version PDF (428 kB) Citations (4)
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DOI: https://doi.org/10.1070/IM2008v072n02ABEH002405
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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2008, Volume 72, Issue 2, Pages 193–222
DOI: https://doi.org/10.4213/im1134
Bibliographic databases:
UDC: 517.16
MSC: 41A17, 26D05, 46G20, 26D05, 41A63, 46B28, 46G05, 46G25, 46M99, 46T20, 52A40, 65D18
Language: English
Original paper language: Russian
Citation: V. I. Skalyga, “V. A. Markov's theorems in normed spaces”, Izv. RAN. Ser. Mat., 72:2 (2008), 193–222; Izv. Math., 72:2 (2008), 383–412
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im1134
  • https://doi.org/10.1070/IM2008v072n02ABEH002405
  • https://www.mathnet.ru/eng/im/v72/i2/p193
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:441
    Russian version PDF:194
    English version PDF:7
    References:50
    First page:9
     
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