aequationes mathematicae

, Volume 19, Issue 1, pp 151–159 | Cite as

Weighted Chebyshev approximation on a compact Hausdorff space

  • Charles B. Dunham
Research Papers

AMS (1970) subject classification

Primary 41A50 


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  1. [1]
    Dunham, C.,Chebyshev approximation by families with the betweeness property. Trans. Amer. Math. Soc.136 (1969), 151–157.Google Scholar
  2. [2]
    Dunham, C.,Chebyshev approximation with respect to a weight function. J. Approximation Theory2 (1969), 223–232.Google Scholar
  3. [3]
    Dunham, C.,Characterizability and uniqueness in real Chebyshev approximation. J. Approximation Theory2 (1969), 374–383.Google Scholar
  4. [4]
    Dunham, C.,Chebyshev approximation with a null point. Z. Angw. Math. Mech.52 (1972), 239.Google Scholar
  5. [5]
    Dunham, C.,Chebyshev approximation with respect to a vanishing weight function. J. Approximation Theory12 (1974), 305–306.Google Scholar
  6. [6]
    Dunham, C.,Rational approximation with a vanishing weight function and with a fixed value at zero. Math. Comput.30 (1976), 45–47.Google Scholar
  7. [7]
    Dunham, C.,Chebyshev approximation with a null space. Proc. Amer. Math. Soc.41 (1973), 557–558.Google Scholar
  8. [8]
    Kuki, H. andAscoly, J.,FORTRAN extended precision library. IBM Systems J.10 (1971), 39–61.Google Scholar
  9. [9]
    King, R. F. andPhillips, D. L.,The logarithmic error and Newton's method for the square root. Comm. ACM12 (1969), 87–88.Google Scholar
  10. [10]
    Moursund, D. G. andTaylor, G. D.,Uniform rational approximation using a generalized weight function. SIAM J. Numer. Anal.5 (1968), 882–889.Google Scholar
  11. [11]
    Williams, J.,Numerical Chebyshev approximation by interpolating rationals. Math. Comput.26 (1972), 199–206.Google Scholar
  12. [12]
    Braess, D.,Geometrical characterizations for nonlinear uniform approximation. J. Approximation Theory11 (1974), 260–274.Google Scholar
  13. [13]
    Brosowski, B.,Nicht-lineare Tschebyscheff-approximation. Bibliographisches Institut, Mannheim, 1968.Google Scholar
  14. [14]
    Dunham, C. B.,Chebyshev sets in C[0, 1]which are not suns. Can. Math. Bull.18 (1975), 35–37.Google Scholar
  15. [15]
    Dunham, C. B.,Alternation with a null point. J. Approximation Theory15 (1975), 157–160.Google Scholar
  16. [16]
    Greisel, M.,Uniform approximation with respect to a general error function. Dissertation, University of California, Riverside, 1971.Google Scholar
  17. [17]
    Wuytack, L.,Some remarks on a paper of D. G. Moursund. SIAM J. Numer. Anal.7 (1970), 233–237.Google Scholar
  18. [18]
    Wuytack, L.,Kolmogoroff's criterion for constrained rational approximation. J. Approximation Theory4 (1971), 120–136.Google Scholar

Copyright information

© Birkhäuser Verlag 1979

Authors and Affiliations

  • Charles B. Dunham
    • 1
  1. 1.Department of Computer ScienceUniversity of Western OntarioLondonCanada

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