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Matematicheskie Zametki, 1967, Volume 1, Issue 2, Pages 163–172 (Mi mzm5361)  

This article is cited in 35 scientific papers (total in 35 papers)

On a theorem of A. F. Timan on the approximation of functions by polynomials on a finite interval

I. E. Gopengauz
Received: 30.09.1966
English version:
Mathematical Notes, 1967, Volume 1, Issue 2, Pages 110–116
DOI: https://doi.org/10.1007/BF01268059
Bibliographic databases:
Language: Russian
Citation: I. E. Gopengauz, “On a theorem of A. F. Timan on the approximation of functions by polynomials on a finite interval”, Mat. Zametki, 1:2 (1967), 163–172; Math. Notes, 1:2 (1967), 110–116
Citation in format AMSBIB
\Bibitem{Gop67}
\by I.~E.~Gopengauz
\paper On a theorem of A.\,F.~Timan on the approximation of functions by polynomials on a finite interval
\jour Mat. Zametki
\yr 1967
\vol 1
\issue 2
\pages 163--172
\mathnet{http://mi.mathnet.ru/mzm5361}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=208232}
\zmath{https://zbmath.org/?q=an:0165.38701}
\transl
\jour Math. Notes
\yr 1967
\vol 1
\issue 2
\pages 110--116
\crossref{https://doi.org/10.1007/BF01268059}
Linking options:
  • https://www.mathnet.ru/eng/mzm5361
  • https://www.mathnet.ru/eng/mzm/v1/i2/p163
  • This publication is cited in the following 35 articles:
    1. Bing Jiang, “Rate of approximaton by some neural network operators”, MATH, 9:11 (2024), 31679  crossref
    2. Umberto Amato, Biancamaria Della Vecchia, “Rational Approximation on Exponential Meshes”, Symmetry, 12:12 (2020), 1999  crossref
    3. I. I. Sharapudinov, “Sobolev-orthogonal systems of functions and some of their applications”, Russian Math. Surveys, 74:4 (2019), 659–733  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    4. I. I. Sharapudinov, M. G. Magomed-Kasumov, “On Vallée-Poissin means for special series with respect to ultraspherical Jacobi polynomials with sticking partial sums”, Russian Math. (Iz. VUZ), 62:9 (2018), 60–71  mathnet  crossref  isi
    5. I. I. Sharapudinov, “Sobolev orthogonal polynomials generated by Jacobi and Legendre polynomials, and special series with the sticking property for their partial sums”, Sb. Math., 209:9 (2018), 1390–1417  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    6. I. I. Sharapudinov, “Approximation Properties of Fourier Series of Sobolev Orthogonal Polynomials with Jacobi Weight and Discrete Masses”, Math. Notes, 101:4 (2017), 718–734  mathnet  crossref  crossref  mathscinet  isi  elib
    7. Umberto Amato, Biancamaria Della Vecchia, “Rational Operators Based on q-Integers”, Results Math, 72:3 (2017), 1109  crossref
    8. I. I. Sharapudinov, “Smeshannye ryady po klassicheskim ortogonalnym polinomam”, Dagestanskie elektronnye matematicheskie izvestiya, 2015, no. 3, 1–254  mathnet  crossref
    9. I. I. Sharapudinov, T. I. Sharapudinov, “Ob odnovremennom priblizhenii funktsii i ikh proizvodnykh posredstvom polinomov Chebysheva, ortogonalnykh na ravnomernoi setke”, Dagestanskie elektronnye matematicheskie izvestiya, 2015, no. 4, 74–117  mathnet  crossref  elib
    10. Neha Mathur, Pankaj Mathur, Springer Proceedings in Mathematics & Statistics, 143, Mathematical Analysis and its Applications, 2015, 197  crossref
    11. A. K. Ramazanov, “A Remark about Polynomial Approximations Involving the Interpolation of Continuous Functions”, Math. Notes, 90:2 (2011), 299–300  mathnet  crossref  crossref  mathscinet  isi
    12. I. I. Sharapudinov, T. I. Sharapudinov, “Mixed Series of Jacobi and Chebyshev Polynomials and Their Discretization”, Math. Notes, 88:1 (2010), 112–139  mathnet  crossref  crossref  mathscinet  isi  elib
    13. I. I. Sharapudinov, “Approximating smooth functions using algebraic-trigonometric polynomials”, Sb. Math., 201:11 (2010), 1689–1713  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    14. A. V. Mironenko, “On the Jackson–Stechkin inequality for algebraic polynomials”, Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S116–S123  mathnet  crossref  isi  elib
    15. I. I. Sharapudinov, “Approximation Properties of the Vallée-Poussin Means of Partial Sums of a Mixed Series of Legendre Polynomials”, Math. Notes, 84:3 (2008), 417–434  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    16. I. I. Sharapudinov, “Approximation properties of mixed series in terms of Legendre polynomials on the classes $W^r$”, Sb. Math., 197:3 (2006), 433–452  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    17. R. M. Trigub, “Approximation of functions by polynomials with Hermitian interpolation and restrictions on the coefficients”, Izv. Math., 67:1 (2003), 183–206  mathnet  crossref  crossref  mathscinet  zmath  isi
    18. R. M. Trigub, “Approximation of Smooth Functions and Constants by Polynomials with Integer and Natural Coefficients”, Math. Notes, 70:1 (2001), 110–122  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    19. G. Mastroianni, D. Occorsio, “Optimal systems of nodes for Lagrange interpolation on bounded intervals. A survey”, Journal of Computational and Applied Mathematics, 134:1-2 (2001), 325  crossref
    20. T. F. Xie, S. P. Zhou, “On simultaneous approximation by lagrange interpolating polynomials”, Approx. Theory & its Appl., 14:4 (1998), 89  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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