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Języki publikacji
Abstrakty
In the present paper, we introduce a generalization of the Kantorovich type operators K*n(f;x) defined in [1]. We give approximation properties of these operators with the help of Bohman-Korovkin Theorem. We also compute rate of convergence by means of modulus of continuity, the elements of local Lipschitz class and Peetre's K-functional.
Czasopismo
Rocznik
Tom
Strony
65--71
Opis fizyczny
Bibliogr. 9 poz.
Twórcy
autor
autor
- Abant Izzet Baysal University, Faculty of Arts and Sciences, Department of Mathematics, Bolu, Turkey
Bibliografia
- [1] Agratini O., On a sequence of linear positive operators, Facta Universitatis (Niš), Ser. Math. Inform., 14(1999), 41-48.
- [2] Bleimann G., Butzer P.L., Hahn L., A Bernstein-type operator approximating continuous functions on the semi-axis, Nederl. Akad. Wetensch Indag. Math., 42(3)(1980), 255-262.
- [3] Bohman H., On approximation of continuous and analytic functions, Ark. Mat., 2(1952), 43-56.
- [4] Doğru O., Özarslan M.A., Tabdelen F., On positive operators involving a certain class of generating functions, Stud. Sci. Math. Hung., 41 (4)(2004), 415-429.
- [5] Erençin A., Taşdelen F., On a family of linear and positive operators in weighted spaces, J. Inequal. Pure Appl. Math., 8(2), article 39, 6pp. (2007).
- [6] Korovkin P.P., On convergence of linear positive operators in the space of continuous functions (Russian), Dokl. Akad. Nauk. SSSR (N.S.), 90(1953), 961-964.
- [7] Lupaş A., The approximation by some positive linear operators, In: Proceedings of the International Dortmund Meeting on Approximation Theory (M.W. Müller et al., eds.), Akademie Verlag, Berlin (1995), 201-229.
- [8] Pop O.T., The Kantorovich form of Stancu operators, Miskolc Mathematical Notes, 7(2)(2006), 161-168.
- [9] Shisha O., Mond B., The degree of convergence of linear positive operators, Proc. Nat. Acad. Sci. U.S.A., 60(1968), 1196-2000.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP2-0014-0041