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The degree of approximation of differentiable functions by Hermite interpolation polynomials

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References

  1. S. J. Goodenough and T. M. Mills, A new estimate for the approximation of functions by Hermite-Fejér interpolation polynomials,J. Approximation Theory,31 (1981), 253–260.

    Google Scholar 

  2. V. N. Malozemov, Joint approximation of a function and its derivatives by algebraic polynomials,Dokl. Akad. Nauk SSSR,170 (1966), 1274–1276.

    Google Scholar 

  3. A. F. Timan, A strengthening of Jakson's theorem on the best approximation of continuous functions by polynomials on a finite interval of the real axis,Dokl. Akad. Nauk SSSR,78 (1951), 17–20.

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  4. G. G. Lorentz,Approximation of Functions, Holt, Rinehart and Winston (1966).

  5. G. Szegő,Orthogonal Polynomials, AMS Colloq. Publications, vol. 23, third ed. (1974).

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Sakai, R. The degree of approximation of differentiable functions by Hermite interpolation polynomials. Acta Math Hung 58, 9–11 (1991). https://doi.org/10.1007/BF01903540

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  • DOI: https://doi.org/10.1007/BF01903540

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