References
Becker, M.,Global approximation theorems for Szász-Mirakjan and Baskakov operators in polynomial weight spaces. Indiana Univ. Math. J.27 (1978), 127–142.
Becker, M., andNessel, R. J.,An elementary approach to inverse approximation theorems. J. Approximation Theory (in print).
Berens, H. andLorentz, G. G.,Inverse theorems for Bernstein polynomials. Indiana Univ. Math. J.21 (1972), 693–708.
Butzer, P. L. andNessel, R. J.,Fourier Analysis and Approximation, Vol. 1,One-Dimensional Theory. Birkhäuser, Basel and Academic Press, New York, 1971.
Devore, R. A.,The approximation of continuous functions by positive linear operators. Lecture Notes in Mathematics 293, Springer-Verlag, Berlin-Heidelberg-New York 1972.
Ditzian, Z. andMay, C. P.,L p saturation and inverse theorems for modified Bernstein polynomials. Indiana Univ. Math. J.25 (1976), 733–751.
Lorentz, G. G.,Inequalities and the saturation classes of Bernstein polynomials, in:On Approximation Theory, ed. P. B. Butzer and J. Korevaar, Proc. Oberwolfach, ISNM 5, Birkhäuser, Basel 1963, 200–207.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Becker, M. An elementary proof of the inverse theorem for Bernstein polynomials. Aeq. Math. 19, 145–150 (1979). https://doi.org/10.1007/BF02189862
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02189862