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Izvestiya: Mathematics, 1998, Volume 62, Issue 2, Pages 375–397
DOI: https://doi.org/10.1070/im1998v062n02ABEH000179 (Mi im179) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Analogues of the Markov and Bernstein inequalities on convex bodies in Banach spaces

V. I. Skalyga
English version PDF (245 kB) Citations (6)
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DOI: https://doi.org/10.1070/im1998v062n02ABEH000179
Abstract: We obtain analogues of the A. A. Markov and Bernstein inequalities for algebraic polynomials on convex bounded closed bodies in Banach spaces. For centrally symmetric bodies we establish an exact estimate in Markov's inequality, an estimate in Bernstein's inequality that is asymptotically exact for polynomials on the ball, and estimates for the norms of higher derivatives.
Received: 18.06.1996
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1998, Volume 62, Issue 2, Pages 169–192
DOI: https://doi.org/10.4213/im179
Bibliographic databases:
MSC: 41A17, 26D05
Language: English
Original paper language: Russian
Citation: V. I. Skalyga, “Analogues of the Markov and Bernstein inequalities on convex bodies in Banach spaces”, Izv. RAN. Ser. Mat., 62:2 (1998), 169–192; Izv. Math., 62:2 (1998), 375–397
Citation in format AMSBIB
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  • https://doi.org/10.1070/im1998v062n02ABEH000179
  • https://www.mathnet.ru/eng/im/v62/i2/p169
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:294
    Russian version PDF:107
    English version PDF:5
    References:59
    First page:1
     
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