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Izvestiya: Mathematics, 2003, Volume 67, Issue 1, Pages 183–206
DOI: https://doi.org/10.1070/IM2003v067n01ABEH000424
(Mi im424)
 

This article is cited in 4 scientific papers (total in 4 papers)

Approximation of functions by polynomials with Hermitian interpolation and restrictions on the coefficients

R. M. Trigub

Donetsk National University
References:
Abstract: We determine the order of approximation of real functions of finite smoothness by polynomials with various restrictions: approximation of functions and their derivatives with Hermitian interpolation at the endpoints, one-sided approximation (for example, from above), and assumptions on the coefficients.
Received: 16.05.2001
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2003, Volume 67, Issue 1, Pages 199–221
DOI: https://doi.org/10.4213/im424
Bibliographic databases:
UDC: 517.51
MSC: 41A10, 30E10
Language: English
Original paper language: Russian
Citation: R. M. Trigub, “Approximation of functions by polynomials with Hermitian interpolation and restrictions on the coefficients”, Izv. RAN. Ser. Mat., 67:1 (2003), 199–221; Izv. Math., 67:1 (2003), 183–206
Citation in format AMSBIB
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\by R.~M.~Trigub
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\issue 1
\pages 199--221
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\transl
\jour Izv. Math.
\yr 2003
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\pages 183--206
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Linking options:
  • https://www.mathnet.ru/eng/im424
  • https://doi.org/10.1070/IM2003v067n01ABEH000424
  • https://www.mathnet.ru/eng/im/v67/i1/p199
  • 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
    Statistics & downloads:
    Abstract page:459
    Russian version PDF:264
    English version PDF:22
    References:52
    First page:3
     
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