Probabilistic approach to a class of generalized Bernstein approximating operators

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  • D. D. Stancu "Babeş-Bolyai" University, Cluj-Napoca, Romania
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References

Eisenberg, Sheldon, Wood, Bruce, Approximation of analytic functions by Bernšteĭn-type operators. Collection of articles dedicated to J. L. Walsh on his 75th birthday, VII. J. Approximation Theory 6 (1972), 242-248, MR0338385, https://doi.org/10.1016/0021-9045(72)90055-x

Fisz, M., Probability theory and mathematical statistics, John Wiley, New York, 1963.

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Mastroianni, G., Occorsio, M.R., Una generalization dell'operatore di Stancu, Ibid. (4) 45, 495-511 (1979).

Mühlbach, G. Verallgemeinerungen der Bernstein- und der Lagrange-polynome. Bemerkungen zu einer Klasse linearer Polynomoperatoren von D. D. Stancu. (German) Rev. Roumaine Math. Pures Appl. 15 1970 1235-1252, MR0273253 .

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Stancu, D. D., Recurrence relations for the central moments of certain discrete probability laws. (Romanian) Studia Univ. Babeş-Bolyai Ser. Math.-Mech. 15 1970 no. 1, 55-62, MR0264777.

Stancu, D. D., Approximation of functions by means of a new generalized Bernstein operator. Calcolo 20 (1983), no. 2, 211-229 (1984), MR0746354, https://doi.org/10.1007/bf02575593

Stancu, D. D., Generalized Bernstein approximating operators. Itinerant seminar on functional equations, approximation and convexity (Cluj-Napoca, 1984), 185-192, Preprint, 84-6, Univ. "Babeş-Bolyai", Cluj-Napoca, 1984, MR0788745.

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Published

1985-02-01

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Stancu, D. D. (1985). Probabilistic approach to a class of generalized Bernstein approximating operators. Anal. Numér. Théor. Approx., 14(1), 83–89. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1985-vol14-no1-art5

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