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In this paper we present inequalities concerning the weighted moduli of continuity of Kantorovich type operators Lnf. Moreover, we give some estimates of the degree of approximation of f by Lnf in the Holder type norms.
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Czasopismo
Rocznik
Tom
Strony
821--834
Opis fizyczny
Bibliogr. 12 poz.
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autor
- Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Matejki 48/49, 60-769 Poznan, Poland
Bibliografia
- [1] G. A. Anastassiou, C. Cottin and H. H. Gonska, Global smoothness of approximating functions, Analysis 11 (1991), 43-57.
- [2] G. Aniol, On the rate of pontwise convergence of the Kantorovich type operators, Fasc. Math. 29 (1999), 5-15.
- [3] Z. Ditzian and V. Totik, Moduli of Smoothness, Springer Series in Computational Mathematics 9, Springer-Verlag, Berlin, Heidelberg, New York 1997.
- [4] W. Gawronski and U. Stadtmüller, Approximation of continuous functions by generalized Favard operators, J. Approx. Theory 34 (1982), 384-396.
- [5] S. Guo, On the rate of convergence of the integrated Meyer-Konig and Zeller operators for functions of bounded variation, J. Approx. Theory 56 (1989), 245-255.
- [6] S. Guo and M. K. Khan, On the rate of convergence of some operators on functions of bounded variation, J. Approx. Theory 58 (1989), 90-101.
- [7] W. Kratz and U. Stadtmüller, On the uniform modulus of continuity of certain discrete approximation operators, J. Approx. Theory 54 (1988), 326-337.
- [8] L. Leindler, A. Meir and V. Totik, On approximation of continuous functions in Lipschitz norms, Acta Math. Hung. 45 (3-4) (1985), 441-443.
- [9] G. G. Lorentz, Bernstein Polynomials, Toronto 1953.
- [10] M. Powierska and P. Pych-Taberska, On smoothness and approximation properties of the Feller operators, Bolletino U.M.I. (7) 10-A, (1996), 385-398.
- [11] P. Pych-Taberska, Properties of some discrete approximation operators in weighted functions spaces, Comment. Math. Prace Mat. Ser. I 33 (1993), 159-169.
- [12] P. Pych-Taberska, On the Dummyer-type modification of some discrete approximation operators, Proceedings of the Georgian Academy of Sciences, Math. 1 (1993), 585-599.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA1-0045-0012