An elementary proof of the inverse theorem for Bernstein polynomials

M. Becker

doi:10.1007/bf02189862

journal article Dec 01, 1979

An elementary proof of the inverse theorem for Bernstein polynomials

M. Becker

Aequationes mathematicae Vol. 19 No. 1 pp. 145-150 · Springer Science and Business Media LLC

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References

7

[1]

Becker, M.,Global approximation theorems for Szász-Mirakjan and Baskakov operators in polynomial weight spaces. Indiana Univ. Math. J.27 (1978), 127–142. 10.1512/iumj.1978.27.27011

[2]

Becker, M., andNessel, R. J.,An elementary approach to inverse approximation theorems. J. Approximation Theory (in print).

[3]

Berens, H. andLorentz, G. G.,Inverse theorems for Bernstein polynomials. Indiana Univ. Math. J.21 (1972), 693–708. 10.1512/iumj.1972.21.21054

[4]

Butzer, P. L. andNessel, R. J.,Fourier Analysis and Approximation, Vol. 1,One-Dimensional Theory. Birkhäuser, Basel and Academic Press, New York, 1971. 10.1007/978-3-0348-7448-9

[5]

Devore, R. A.,The approximation of continuous functions by positive linear operators. Lecture Notes in Mathematics 293, Springer-Verlag, Berlin-Heidelberg-New York 1972. 10.1007/bfb0059493

[6]

Ditzian, Z. andMay, C. P.,L p saturation and inverse theorems for modified Bernstein polynomials. Indiana Univ. Math. J.25 (1976), 733–751. 10.1512/iumj.1976.25.25058

[7]

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.

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Details

Published: Dec 01, 1979
Vol/Issue: 19(1)
Pages: 145-150
License: View

Authors

M

M. Becker

Cite This Article

M. Becker (1979). An elementary proof of the inverse theorem for Bernstein polynomials. Aequationes mathematicae, 19(1), 145-150. https://doi.org/10.1007/bf02189862

An elementary proof of the inverse theorem for Bernstein polynomials

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