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

Abstract

Authors

Costica Mustata
“Tiberiu Popoviciu” Institute of Numerical Analysis, Romania Academy, Romania

Keywords

Paper coordinates

C. Mustăţa, Selections with values Bernstein polynomials associated to the extension operator for Lipschitz functions, Rev. Anal. Numér. Théor. Approx. 22 (1993) 2, 207-216 (MR # 96k: 41047).

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Journal

Revue d’Analyse Numer Theor. Approximation

Publisher Name

Romanian Academy

Print ISSN

2457-6794

Online ISSN

2501-059X

MR # 96k: 41047

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[1] Brown, B.M., Elliot, D. and D.F. Paget, Lipschitz constants for the Bernstein polynomials of a Lipschitz continuous funcitons, J. Approx. Theory 49 (1987), 196-199.
[2] Cobzas, S. and C. Mustata, Norm-Preserving Extension of Convex Lipschitz Functions, J. Approx. Theory 34 (1978), 236-244.
[3] Czipser, J. and L. Geher, Extension of Functions satisfying a Lipschitz Condition, Acta Math. Acad. Sci. Hungar 6(1955), 213-220.
[4] Deutsch, F., Li W. and S.H. Park, Tietze Extensions and Continuous Selections for Metric Projections, J. Approx. Theory 63 (1991), 55-88.
[5] Mc Shane, E.J., Extension of Range of Functions, Bull. Amer. Math. Soc. 40 (1934), 837-842.
[6] Mustat, C., Norm Preserving Extension of Starhaped Lipschitz Funcitons, Mathematica 19(42)2 (1977), 183-187.
[7]  Mustata C., Best Approximaiton and Uniquje Extension of Lipschitz Functions, J. Approx. Theory 19(1977), 222-230.
[8] Mustata C., M-ideals in Metric Spaces, “Babes-Bolyai” University, Fac. of Math. and Physics, Research Seminars, Seminar on Math. Analysis, Preprint nr.7 (1988), 65-74.
[9] Mustata, C., Selections Associated to Mc Shane’s Extension Theorem for Lipschitz Functions, Revue d’Analyse Numerique et de Theorie de l’Approximation, 21, 2 (1992), 135-145.

1993

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