Skip to main content
SpringerLink
Log in

Bounds for extended lipschitz constants

  • Published:
Acta Mathematica Hungarica Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

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

    Google Scholar 

  2. J. R. Angelos, M. S. Henry, E. H. Kaufman, Jr., and T. D. Lenker, Extended Lipschitz constants, inApproximation Theory V (C. Chui, L. Schumaker, and J. Ward, Eds.), Academic Press (New York, 1986), 239–242.

    Google Scholar 

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

    Google Scholar 

  4. M. W. Bartelt and D. P. Schmidt, On strong unicity and a conjecture of Henry and Roulier, inApproximation III (E. W. Cheney, Ed.), Academic Press (New York, 1980), 187–191.

    Google Scholar 

  5. M. W. Bartelt and J. Swetits, On the norm of the best approximation operator, preprint.

  6. H.-P. Blatt, Lipschitz continuity and strong unicity in G. Freud's work,J. Approx. Theory,46 (1986), 25–31.

    Google Scholar 

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

    Google Scholar 

  8. C. B. Dunham, A uniform constant of strong unicity on an interval,J. Approx. Theory,28 (1980), 207–211.

    Google Scholar 

  9. M. S. Henry, Lipschitz and strong unicity constants, Colloquia Mathematica Societatis János Bolyai 49,Alfred Haar Memorial Conference (Budapest, 1985), 423–444.

  10. M. S. Henry and J. J. Swetits, Lebesgue constants for certain classes of nodes,J. Approx. Theory,39 (1983), 211–227.

    Google Scholar 

  11. M. S. Henry and J. J. Swetits, Limits of strong unicity constants for certainC ∞ functions,Acta Math. Acad. Sci. Hung.,43 (1984), 309–323.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

Download references

Author information

Authors and Affiliations

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

    J. Angelos, E. Kaufman Jr. & T. Lenker

  2. Department of Mathematics and Statistics, Old Dominion University, 23529, Norfolk, Virginia, USA

    M. S. Henry

Authors
  1. J. Angelos
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. Kaufman Jr.
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. T. Lenker
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. M. S. Henry
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Angelos, J., Kaufman, E., Lenker, T. et al. Bounds for extended lipschitz constants. Acta Math Hung 58, 81–93 (1991). https://doi.org/10.1007/BF01903550

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01903550

Keywords

Search

Navigation