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Limits of strong unicity constants for certainC ∞ functions

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References

  1. M. W. Bartelt and D. Schmidt, On a conjecture of Henry and Roulier, InApproximation III, E. W. Cheney, editor, Academic Press (New York, 1980), 187–192.

    Google Scholar 

  2. M. W. Bartelt and D. Schmidt, On Poreda's problem for strong unicity constants,J. Approximation Theory, in press.

  3. H. P. Blatt,Strenge Eindeutigkeitskonstanten bei linearer Tschebyscheff-Approximation, manuscript, 1981.

  4. E. W. Cheney,Introduction to Approximation Theory, McGraw-Hill, (New York, 1966).

    Google Scholar 

  5. A. K. Cline, Lipschitz conditions on uniform approximation operators,J. Approximation Theory,8 (1973), 160–172.

    Article  Google Scholar 

  6. M. S. Henry and L. R. Huff, On the behavior of the strong unicity constant for changing dimension,J. Approximation Theory,22 (1979), 278–290

    Article  Google Scholar 

  7. M. S. Henry and J. A. Roulier, Lipschitz and strong unicity constants for changing dimensionJ. Approximation Theory,21 (1977), 224–235.

    Article  Google Scholar 

  8. M. S. Henry and J. J. Swetits, Precise orders of strong unicity constants for a class of rational functions,J. Approximation Theory,32 (1981), 292–305.

    Article  Google Scholar 

  9. M. S. Henry, J. J. Swetits, and S. E. Weinstein, Orders of strong unicity constants,J Approximation Theory,31 (1981), 175–187.

    Article  Google Scholar 

  10. M. S. Henry, J. J. Swetits, and S. E. Weinstein, On extremal sets and strong unicity constants for certainC ∞ functions,J. Approximation Theory,37 (1983), 155–174.

    Article  Google Scholar 

  11. M. S. Henry, J. J. Swetits, and S. E. Weinstein, Lebesgue and strong unicity constants for a class of nodes,AMS Abstracts,1 (1980), 570.

    Google Scholar 

  12. A. Kroó, The Lipschitz constant of the operator of best approximation.Acta Math. Acad. Sci. Hungar.,35 (1980), 279–292.

    Article  Google Scholar 

  13. G. Meinardus,Approximation of functions: Theory and Numerical Methods, Springer-Verlag (New York, 1967).

    Google Scholar 

  14. S. J. Poreda, Counter examples in best approximation,Proc. Amer. Math. Soc.,56 (1976), 167–171.

    Google Scholar 

  15. D. Schmidt, On an unboundedness conjecture for strong unicity constants.J. Approximation Theory,24 (1978), 216–233.

    Article  Google Scholar 

  16. D. Schmidt, A characterization of strong unicity constants, inApproximation III, E. W. Cheney, editor, Academic Press (New York, 1980), 805–810.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Central Michigan University, 48859, Mount Pleasant, Michigan, USA

    M. S. Henry

  2. Department of Mathematical Sciences, Old Dominion University, 23508, Norfolk, Virginia, USA

    J. J. Swetits

Authors
  1. M. S. Henry
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  2. J. J. Swetits
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Henry, M.S., Swetits, J.J. Limits of strong unicity constants for certainC ∞ functions. Acta Math Hung 43, 309–323 (1984). https://doi.org/10.1007/BF01958028

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  • DOI: https://doi.org/10.1007/BF01958028

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