Abstract
A proof of Favard can be restructured using quasi-interpolants of the type discussed in these proceedings [6] and his result strengthened.
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References
de Boor C. A smooth and local interpolant with “small” kth derivative. In Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations, pages 177–197. Academic Press, New York, 1974. A. K. Aziz, ed.
de Boor C. How small can one make the derivatives of an interpolating function? J. Approx. Theory, 13: 105–116, 1975.
de Boor C. On “best” interpolation. J. Approx. Theory, 16: 28–42, 1976.
Favard J. Sur l’interpolation. J. Math. Pures Appl., 19: 281–300, 1940.
Kunkle T. Lagrange interpolation on a lattice: bounding derivatives by divided differences. J. Approx. Theory, 71: 94–103, 1992.
Lei J., Cheney E. W. Quasi-interpolation on irregular points I. In these proceedings.
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With best wishes to Professor Gautschi on the happy occasion of his sixty-fifth birthday
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© 1994 Birkhäuser
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Kunkle, T. (1994). Using Quasi-Interpolants in a Result of Favard. In: Zahar, R.V.M. (eds) Approximation and Computation: A Festschrift in Honor of Walter Gautschi. ISNM International Series of Numerical Mathematics, vol 119. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4684-7415-2_22
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DOI: https://doi.org/10.1007/978-1-4684-7415-2_22
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