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On polynomial approximation with respect to general weights

Part of the Lecture Notes in Mathematics book series (LNM,volume 399)

Keywords

  • English Translation
  • Soviet Math
  • General Weight
  • Orthonormal Polynomial
  • Arbitrary Real

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References

  1. FREUD, G., On approximation with weight by polynomials on the real line. Dokladii A.N. SSSR 191 (1970) 293–294. English translation: Soviet Math. Doklady 11 (1970), 370–371.

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  2. FREUD, G., On an inequality of Markov type. Dokladii A.N. SSSR 197 (1971) 790–793. English translation: Soviet Math. Dokl. 12 (1971) 570–573.

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  3. FREUD, G., A contribution to the problem of weighted polynomial approximation. ISNM vol.20 "Linear operators and approximation theory". Conference report (Oberwolfach, 1970). Editors: P.J.Butzer, J.P.Kahane and B.Sz.-Nagy, Birkhäuser Verl. Basel 1972.

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  4. Freud, G., On direct and converse theorems in the theory of weighted polynomial approximation. Math. Zeitschr. 134 (1972) 123–134.

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  5. Freud, G., On converse theorems of weighted polynomial approximation. Acta Math. Acad. Sci. Hung., in print.

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  6. Freud, G., Orthogonale polynome, Birkhäuser Verl. Basel 1969. English translation by I.Földes, Pergamon Press 1971.

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  7. Freud, G., On weighted polynomial approximation on the whole real axis. Acta Math. Ac. Sci. Hung. 20 (1969) 223–225.

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  8. Freud, G., Investigations on weighted approximation by polynomials. Studia Sci. Math. Hung., in print.

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  9. Névai, G.P., Some properties of polynomials orthogonal to the weight (1+∝2k)α e−∝2k and their application to approximation theory. (In Russian). Dokladii Ak. Nauk SSSR, in print.

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  10. Névai, G.P., Polynomials orthogonal on the real axis to the weight |∝|α e−|∝|β. In Russian. Acta Math. Ac. Sci. Hung., in print.

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  11. Nikolski, S.M., Approximation of functions by trigonometric polynomials in the mean. (In Russian). Isvestia Ak. Nauk SSSR ser. matem. 10 (1946) 207–256.

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© 1974 Springer-Verlag Berlin · Heidelberg

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Freud, G. (1974). On polynomial approximation with respect to general weights. In: Garnir, H.G., Unni, K.R., Williamson, J.H. (eds) Functional Analysis and its Applications. Lecture Notes in Mathematics, vol 399. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063573

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  • DOI: https://doi.org/10.1007/BFb0063573

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06869-3

  • Online ISBN: 978-3-540-37827-3

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