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Local Lipschitz constants and Kolushov polynomials

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References

  1. J. R. Angelos, M. S. Henry, E. H. Kaufman and T. D. Lenker, Local Lipschitz constants,J. Approx. Theory,43 (1985), 53–63.

    Article  Google Scholar 

  2. J. R. Angelos, M. S. Henry, E. H. Kaufman, A. Kroó and T. D. Lenker, Local and global Lipschitz constants,J. Approx. Theory,46 (1986), 137–156.

    Article  Google Scholar 

  3. M. W. Bartelt, On Lipschitz conditions, strong unicity, and a theorem of A. K. Cline,J. Approx. Theory,14 (1975), 245–250.

    Article  Google Scholar 

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

    Google Scholar 

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

    Article  Google Scholar 

  6. M. S. Henry and J. A. Roulier, Lipschitz and strong unicity constants for changing dimension,J. Approx. Theory,22 (1978), 85–94.

    Article  Google Scholar 

  7. A. V. Kolushov, Differentiability of the best approximation operator,Math. Notes Acad. Sci. USSR,29 (1981), 295–306.

    Article  Google Scholar 

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

    Article  Google Scholar 

  9. A. Kroó, Differential properties of the operator of best approximation,Acta Math. Acad. Sci. Hungar.,30 (1977), 319–331.

    Article  Google Scholar 

  10. I. P. Natanson,Constructive Function Theory, Vol. III, Ungar Publishing Co. (New York, 1965).

    Google Scholar 

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Bartelt, M.W., Swetits, J.J. Local Lipschitz constants and Kolushov polynomials. Acta Math Hung 57, 259–263 (1991). https://doi.org/10.1007/BF01903676

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  • DOI: https://doi.org/10.1007/BF01903676

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