On an approximation operator and its Lipschitz constant

Author:

Crăciun Maria

Abstract

In this note we consider an approximation operator of Kantorovich type in which expression appears a basic sequence for a delta operator and a Sheffer sequence for the same delta operator. We give a convergence theorem for this operator and we find its Lipschitz constant.

Publisher

Academia Romana Filiala Cluj

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Mathematics (miscellaneous)

Reference13 articles.

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2. Brown, B. M., Elliot, D. and Paget, D. F., Lipschitz constants for the Bernstein polynomials of a Lipschitz continuous function, J. Approx. Theory, 49, pp. 196-199, 1987, https://doi.org/10.1016/0021-9045(87)90087-6

3. Craciun, M., Approximation operators constructed by means of Sheffer sequences, Rev. Anal. Numér. Théor. Approx., 30, 2001, pp. 135-150, http://ictp.acad.ro/jnaat/journal/article/view/2001-vol30-no2-art3

4. Lupaş, L. and Lupaş, A., Polynomials of binomial type and approximation operators, Studia Univ. Babeş-Bolyai, Mathematica, 32, pp. 61-69, 1987.

5. Manole, C., Approximation operators of binomial type, Univ. Cluj-Napoca, Research Seminar on Numerical and Statistical Calculus, Preprint no. 9, pp. 93-98, 1987.

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On compound operators depending on s parameters;Journal of Numerical Analysis and Approximation Theory;2004-02-01

2. On compound operators constructed with binomial and Sheffer sequences;Journal of Numerical Analysis and Approximation Theory;2003-08-01

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