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Minimum Norm Extremals in Function Spaces pp 134–150Cite as

The trigonometric and algebraic favard problem

  • Part VII. Perfect Spline Solutions in the Theory of Best Approximation in L∞
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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 479))

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References

  1. N. I. Achieser and M. G. Krein, “On the best approximation of periodic functions,” Doklady Akad. Nauk SSSR, 15 (1937), 107–112.

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  2. S. N. Bernstein, Collected Works, vol. II, Akad. Nauk SSSR, Moscow, 1954.

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  3. H. B. Curry and I. J. Schoenberg, “On Polya Frequence functions I,” J. d’Analyse Math. XVII (1966), 71–108.

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  4. J. Favard, “Sur les meilleures procédés d’approximation de certaines classes des fonctions par des polynômes trigonométriques,” Bull. Sci. Math., 61 (1937), 209–224, 243–256.

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  5. S. D. Fisher, “Best approximation by polynomials,” submitted for publication.

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  6. M. G. Krein, “On the approximation of continuous differentiable functions on the whole real axis,” Doklady Akad. Nauk., 18 (1938)

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  7. G. G. Lorentz, Approximation of Functions, Holt, Rinehart and Winston, New York, 1966.

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  8. I. P. Natanson, Constructive Theory of Functions, A. E. C. translation series 4503.

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  9. A. F. Timan, Theory of Approximation of Functions of a Real Variable, translated by J. Berry, Pergamon Press Ltd., Oxford, England, 1963.

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Authors
  1. Prof. Stephen D. Fisher
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  2. Prof. Joseph W. Jerome
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© 1975 Springer-Verlag

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Fisher, S.D., Jerome, J.W. (1975). The trigonometric and algebraic favard problem. In: Minimum Norm Extremals in Function Spaces. Lecture Notes in Mathematics, vol 479. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097071

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  • DOI: https://doi.org/10.1007/BFb0097071

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07394-9

  • Online ISBN: 978-3-540-37599-9

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