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

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  • Costică Mustăţa Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy

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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.

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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

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