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Matematicheskie Zametki, 2001, Volume 70, Issue 1, Pages 123–136
DOI: https://doi.org/10.4213/mzm725 (Mi mzm725) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Approximation of Smooth Functions and Constants by Polynomials with Integer and Natural Coefficients

R. M. Trigub

Donetsk National University
Full-text PDF (227 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm725
Abstract: Direct theorems on the approximation of smooth functions by polynomials with integer coefficients are strengthened. First theorems on approximation by polynomials with natural coefficients are obtained.
Received: 30.03.2000
English version:
Mathematical Notes, 2001, Volume 70, Issue 1, Pages 110–122
DOI: https://doi.org/10.1023/A:1010282120209
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: R. M. Trigub, “Approximation of Smooth Functions and Constants by Polynomials with Integer and Natural Coefficients”, Mat. Zametki, 70:1 (2001), 123–136; Math. Notes, 70:1 (2001), 110–122
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm725
  • https://doi.org/10.4213/mzm725
  • https://www.mathnet.ru/eng/mzm/v70/i1/p123
    • This publication is cited in the following 7 articles:
    1. Roald Trigub, “On the best approximation of non-integer constants by polynomials with integer coefficients”, UMB, 20:2 (2023), 283  crossref
    2. Roald M. Trigub, “On the best approximation of non-integer constants by polynomials with integer coefficients”, J Math Sci, 274:3 (2023), 403  crossref
    3. R. M. Trigub, “ON APPROXIMATION OF CONSTANTS BY POLYNOMIALS WITH INTEGER COEFFICIENTS”, J Math Sci, 266:6 (2022), 959  crossref
    4. R. M. Trigub, “Chebyshev Polynomials and Integer Coefficients”, Math. Notes, 105:2 (2019), 291–300  mathnet  crossref  crossref  mathscinet  isi  elib
    5. Trigub R.M., “On the Approximation of Functions By Polynomials and Entire Functions of Exponential Type”, Ukr. Math. J., 71:2 (2019), 333–341  crossref  mathscinet  isi  scopus
    6. Igor E. Pritsker, “Polynomials with integer coefficients and their zeros”, J Math Sci, 183:6 (2012), 810  crossref
    7. R. M. Trigub, “Approximation of functions by polynomials with various constraints”, J. Contemp. Mathemat. Anal., 44:4 (2009), 230  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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