Selections with values Bernstein polynomials associated to the extension operator for Lipschitz functions

Authors

  • Costică Mustăţa Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy, Romania
Abstract views: 241

Abstract

Not available.

Downloads

Download data is not yet available.

References

Brown, B.M., Elliot, D. and D. F. Paget, Lipschitz constants for the Bernstein polynomials, of a Lipschitz continuous functions, J. Approx. Theory 49 (1987), pp. 196-199, https://doi.org/10.1016/0021-9045(87)90087-6

Cobzaş, S. and C. Mustăţa, Norma-Preserving Extension of Convex Lipschitz Functions, J. Approx. theory 34 (1978), pp. 236-244, https://doi.org/10.1016/0021-9045(78)90028-x

Czipser, J. and. L. Géher, Extension of functions satisfying a Lipschitz Condition, Acta Math. Acad. Sci. Hungar 6(1955), pp. 213-220, https://doi.org/10.1007/bf02021278

Deutsch, F., Li. W. and S.H. Park, Tietze Extensions and Continuous Selections for Metric Projecitons, J. Approx. theory 63 (1991), pp. 55-68, https://doi.org/10.1016/0021-9045(91)90086-p

Mc Shane, E.J., Extension of Range of Functions, Bull. Amer. Math. Soc. 40 (1934), pp. 837-842, https://doi.org/10.1090/s0002-9904-1934-05978-0

Mustăţa, C., Norm Preserving Extension of Starshaped Lipschitz Functions, Mathematica 19(42)2 (1977), pp. 183-187.

Mustăţa, C., Best Approximation and Unique Extension of Lipschitz Functions, J. Approx. Theory 19(1977), pp. 222-230, https://doi.org/10.1016/0021-9045(77)90053-3

Mustăţa, C., M-ideals in Metric Spaces, "Babeş-Bolyai" University, Fac. of Math. and Physics, Research Seminars, Seminar on Math. Analysis, Preprint No.7 (1988), pp. 65-74.

Mustăţa, C., Selections associated to Mc Shane's Extension Theorem for Lipschitz Functions, Revue d'Analyse Numérique et de Théorie de l'Approx. 21, 2 (1992), pp. 135-145.

Downloads

Published

1993-08-01

How to Cite

Mustăţa, C. (1993). Selections with values Bernstein polynomials associated to the extension operator for Lipschitz functions. Rev. Anal. Numér. Théor. Approx., 22(2), 207–216. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1993-vol22-no2-art11

Issue

Vol. 22 No. 2 (1993)

Section

Articles

License

Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.