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A theorem on interpolation in haar subspaces

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References

  1. Osgood, W. F.,Functions of real variables. Chelsea Pub. Co., N.Y., 1935.

    Google Scholar 

  2. Tureckii, A. H.,Theory of interpolation in problem form (Russian). Minsk, 1968.

  3. Hayes, W. E. andPowell, M. J. D., unpublished data. Atomic Energy Research Establishment, Harwell, England, 1969.

    Google Scholar 

  4. Cannon, J. R. andMiller, K.,Bounds for the ratio between the fit of interpolation and the best fit. Unpublished manuscript, 1964.

  5. Armstrong, J. W.,Point systems for Lagrange interpolation. Duke Math. J.21 (1954), 511–516.

    Google Scholar 

  6. Bernstein, S.,Sur la limitation des valeurs d'un polynome P n (x)de degré n sur tout un segment par ses valeurs en (n+1) points du segment. Bull. Acad. Sci. URSS, No.8 (1931), 1025–1050.

    Google Scholar 

  7. Powell, M. J. D.,On the maximum errors of polynomial approximations defined by interpolation and by least squares criteria. Comput. J.9 (1967), 404–407.

    Google Scholar 

  8. Luttmann, F. W. andRivlin, T. J.,Some numerical experiments in the theory of polynomial interpolation. IBM J. Res. Develop.9 (1965), 187–191.

    Google Scholar 

  9. Erdös, P.,Some remarks on polynomials. Bull. Amer. Math. Soc.53 (1947), 1169–1176.

    Google Scholar 

  10. Rivlin, T. J.,The Lebesgue constants for polynomial interpolation. IBM Research Report, RC 4165, December 1972.

  11. Erdös, P.,On some convergence properties of the interpolation polynomials. Ann. of Math. Ser. 2,44 (1943), 330–337.

    Google Scholar 

  12. Erdös, P.,Problems and results on the convergence and divergence properties of the Lagrange interpolation polynomials and some extremal problems. Mathematica (Cluj)10 (1968), 65–73.

    Google Scholar 

  13. Erdös, P. andTuran, P.,On the role of the Lebesgue functions in the theory of the Lagrange interpolation. Acta Math. Acad. Sci. Hungar.6 (1955), 47–66.

    Google Scholar 

  14. Ehlich, H. andZeller, K.,Auswertung der Normen von Interpolationsoperatoren. Math. Ann.164 (1966), 105–112.

    Google Scholar 

  15. Neuman, E.,Projections in uniform polynomial approximations. Zastos. Mat.14 (1974), 99–125.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Texas, 78712, Austin, Texas, USA

    T. A. Kilgore & E. W. Cheney

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  1. T. A. Kilgore
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  2. E. W. Cheney
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This research has been supported by the Air Force Office of Scientific Research.

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Kilgore, T.A., Cheney, E.W. A theorem on interpolation in haar subspaces. Aeq. Math. 14, 391–400 (1976). https://doi.org/10.1007/BF01835987

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