S. Ya. Khavinson, “Permissible values of coefficients of polynomials in uniform approximation of continuous functions”, Mat. Zametki, 6:5 (1969), 619–625; Math. Notes, 6:5 (1969), 834

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Matematicheskie Zametki, 1969, Volume 6, Issue 5, Pages 619–625 (Mi mzm6970)

This article is cited in 7 scientific papers (total in 8 papers)

Permissible values of coefficients of polynomials in uniform approximation of continuous functions

S. Ya. Khavinson

V. V. Kuibyshev Moscow Institute of Building and Engineering

Full-text PDF (472 kB) Citations (8)

Abstract: Known approximation theorems of Weierstrass and Lavrent'ev are extended by determining allowable bounds on the values of the coefficients of the approximating polynomials.

Received: 19.11.1968

English version:
Mathematical Notes, 1969, Volume 6, Issue 5, Pages 834–838
DOI: https://doi.org/10.1007/BF01101413

Bibliographic databases:

UDC: 517.5

Language: Russian

Citation: S. Ya. Khavinson, “Permissible values of coefficients of polynomials in uniform approximation of continuous functions”, Mat. Zametki, 6:5 (1969), 619–625; Math. Notes, 6:5 (1969), 834–838

Citation in format AMSBIB

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\by S.~Ya.~Khavinson

\paper Permissible values of coefficients of polynomials in uniform approximation of continuous functions

\jour Mat. Zametki

\yr 1969

\vol 6

\issue 5

\pages 619--625

\mathnet{http://mi.mathnet.ru/mzm6970}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=259430}

\zmath{https://zbmath.org/?q=an:0196.08703}

\transl

\jour Math. Notes

\yr 1969

\vol 6

\issue 5

\pages 834--838

\crossref{https://doi.org/10.1007/BF01101413}

Linking options:

https://www.mathnet.ru/eng/mzm6970

https://www.mathnet.ru/eng/mzm/v6/i5/p619

This publication is cited in the following 8 articles:

M. A. Petrosova, “O skorosti rosta summy modulei koeffitsientov v polinomakh Bernshteina na simmetrichnom otrezke”, Chelyab. fiz.-matem. zhurn., 9:4 (2024), 622–633
A. Yu. Trynin, “O mnogochlenakh nailuchshego priblizheniya segmentnykh funktsii”, Vladikavk. matem. zhurn., 25:1 (2023), 105–111
M. A. Petrosova, I. V. Tikhonov, V. B. Sherstyukov, “On growth rate of coefficients in Bernstein polynomials for the standard modulus function on a symmetric interval”, Ufa Math. J., 10:3 (2018), 59–76
I. F. Krasichkov-Ternovskii, G. N. Shilova, “Absolute completeness of systems of exponentials on convex compact sets”, Sb. Math., 196:12 (2005), 1801–1814
A. G. Vitushkin, A. A. Gonchar, M. V. Samokhin, V. M. Tikhomirov, P. L. Ul'yanov, V. P. Havin, V. Ya. Èiderman, “Semën Yakovlevich Khavinson (obituary)”, Russian Math. Surveys, 59:4 (2004), 777–785
I. F. Krasichkov-Ternovskii, “On absolute completeness of systems of exponentials on a closed interval”, Math. USSR-Sb., 59:2 (1988), 303–315
V. H. Martirosian, “On uniform complex approximation by lacunary polynomials”, Math. USSR-Sb., 48:2 (1984), 445–462
V. V. Napalkov, “Approximation of functions of several variables, taking account of the growth of the coefficients of the approximating combinations”, Math. USSR-Sb., 39:1 (1981), 133–143

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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