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Matematicheskie Zametki, 2011, Volume 90, Issue 2, Pages 306–309
DOI: https://doi.org/10.4213/mzm8942 (Mi mzm8942) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Brief Communications

Lower Bound for the Discrete Norm of a Polynomial on the Circle

V. N. Dubinin

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (337 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm8942
Keywords: discrete norm of a polynomial, uniform grid, uniform norm on a set, Schwartz lemma, conformal mapping, analytic continuation, maximum principle.
Received: 14.01.2011
English version:
Mathematical Notes, 2011, Volume 90, Issue 2, Pages 284–287
DOI: https://doi.org/10.1134/S0001434611070285
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. N. Dubinin, “Lower Bound for the Discrete Norm of a Polynomial on the Circle”, Mat. Zametki, 90:2 (2011), 306–309; Math. Notes, 90:2 (2011), 284–287
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm8942
  • https://doi.org/10.4213/mzm8942
  • https://www.mathnet.ru/eng/mzm/v90/i2/p306
    • This publication is cited in the following 5 articles:
    1. Michael I. Ganzburg, “Discretization Theorems for Entire Functions of Exponential Type”, Journal of Mathematical Analysis and Applications, 2025, 129510  crossref
    2. Guruswami V., Zuckerman D., “Robust Fourier and Polynomial Curve Fitting”, 2016 IEEE 57Th Annual Symposium on Foundations of Computer Science (Focs), Annual IEEE Symposium on Foundations of Computer Science, IEEE, 2016, 751–759  crossref  mathscinet  isi  scopus
    3. V. N. Dubinin, “Methods of geometric function theory in classical and modern problems for polynomials”, Russian Math. Surveys, 67:4 (2012), 599–684  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    4. S. I. Kalmykov, “Comparison of discrete and uniform norms of polynomials on a segment and a circle arc”, J. Math. Sci. (N. Y.), 193:1 (2013), 100–105  mathnet  crossref  mathscinet
    5. Fournier R., Ruscheweyh S., Salinas C. L., “On a discrete norm for polynomials”, J. Math. Anal. Appl., 396:2 (2012), 425–433  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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