Bernstein's polynomials for powers via shifting operator

Authors

  • Dorin Andrica "Babeş-Bolyai" University, Cluj-Napoca, Romania
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References

Andrica, Dorin Powers by Bernstein's operators and some combinatorial properties. Itinerant seminar on functional equations, approximation and convexity (Cluj-Napoca, 1985), pp. 5-10, Preprint, 85-6, Univ. "Babeş-Bolyai", Cluj-Napoca, 1985, MR0842199.

Chang, G.Z., Bernstein polynomials via the shifting operator. The American Mathematical Monthly, 91 (1984), nr. 10, pp. 634-638, https://doi.org/10.1080/00029890.1984.11971515

Ghelfond, A. O., Calculul cu diferenţe finite, Edit. Tehnică, Bucureşti, 1956.

He, Fu Chin(1-MIS), The powers and their Bernstein polynomials. Real Anal. Exchange 9 (1983/84), no. 2, 578-583, MR0766081, https://doi.org/10.2307/44153570

Karlin, S.; Ziegler, Z. Iteration of positive approximation operators. J. Approximation Theory 3 1970, pp. 310-339, MR0277982, https://doi.org/10.1016/0021-9045(70)90055-9

Lorentz, G. G., Bernstein Polynomials, University of toronto Press, Toronto 1956.

Pólya, G.; Szegő, G. Problems and theorems in analysis. Vol. I: Series, integral calculus, theory of functions. Translated from the German by D. Aeppli Die Grundlehren der mathematischen Wissenschaften, Band 193. Springer-Verlag, New York-Berlin, 1972. xix+389 pp., MR0344042.

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Published

1987-08-01

How to Cite

Andrica, D. (1987). Bernstein’s polynomials for powers via shifting operator. Anal. Numér. Théor. Approx., 16(2), 93–94. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1987-vol16-no2-art1

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Vol. 16 No. 2 (1987)

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Articles

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