Application of divided differences to the study of monotonicity of a sequence of D.D. Stancu polynomials

Authors

  • Octavian Agratini "Babeş-Bolyai" University, Cluj-Napoca, Romania
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Abstract

The paper is centered on the study of a class of linear positive operators of discrete type introduced in 1983 by D. D. Stancu. These operators depend on a non-negative integer parameter r and on two real parameters α, β. In this note we use the divided differences as fundamental mathematical tools in the investigation of the monotonicity properties of this class of operators.

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References

Agratini, O., On the monotonicity of a sequence of Stncu-Bernstein type operators, Studia Univ. Babeş-Bolyai, Mathematica 42 (1997), 1 (to appear).

Popoviciu, T., Les fonctions convexes, Actualités Sci. Ind., No 992(1944).

Schoenberg, l. J., On spline functions, inequalities (Symposium at Wright-Patterson Air Force Base, 1965) Academic Press, New York, 1967, pp.255-291.

Stancu, D. D., On the monotonicity of the sequence formed by the first order derivatives of the Bernstein polynomials, Math. Zeitschr. 98 (1967), pp. 46-51.

Stancu, D.D., Asupra unei generalizări a polinoanelor lui Bernstein, Studia Univ. Babeş-Bolyai, 14 (1969), fasc. 2, pp. 31-45.

Stancu, D.D., Approxintation of functions by a means of a new generaliuzed bernstein operators, Calcolo, vol. 20 (1983), fasc. 2, pp. 211 229.

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Published

1996-08-01

How to Cite

Agratini, O. (1996). Application of divided differences to the study of monotonicity of a sequence of D.D. Stancu polynomials. Rev. Anal. Numér. Théor. Approx., 25(1), 3–10. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1996-vol25-nos1-2-art1

Issue

Vol 25, Nos 1-2 (1996)

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Articles

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