The Kantorovich form of Schurer-Stancu operators

• Autorzy: Bărbosu D.
• Języki publikacji: EN

Słowa kluczowe

EN

linear positive operators; Kantorovich operator; Schurer operator; Shisha-Mond theorem; Stancu operator

PL

operatory linearne; operatory Kantorovicha; operatory Schurera; operatory Stancu

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 2
• Strony: 383--391
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Bărbosu D.

• North University of Baia Mare, Faculty of Sciences, Department of Mathematics and Computer Science, Victoriei 76, 4800 Baia Mare, Romania

Bibliografia

• [1] O. Agratini, Aproximare prin operatori liniari (Romanian), Presa Universitară Clujeana, Cluj-Napoca, 2000.
• [2] F. Altomare, M. Campiti, Korovkin-type Approximation Theory and its Applications, de Gruyter Series Studies in Mathematics, Vol. 17, Walter de Gruyter & Co. Berlin, New York, 1994.
• [3] D. Bărbosu, A Voronovskaja type theorem for the operator of D.D. Stancu, Bulletins for Applied & Computer Mathematics, BAM 1998-C/2000, T.U. Budapest (2002), 175-182.
• [4] D. Bărbosu, M. Bărbosu, Properties of the fundamental polynomials of Bernstein-Schurer, (to appear in Proceed. of "icam 3", International Conference on Applied Mathematics, 3-th Edition, Baia Mare - Borşa, October 10-13, 2002).
• [5] D. Bărbosu, The Voronovskaja theorem for Bernstein-Schurer operators, (to appear in Proceed. of "icam 3", International Conference on Applied Mathematics, 3-th Edition, Baia Mare - Borşa, October 10-13, 2002).
• [6] D. Bărbosu, Kantorovich-Schurer operators, (to appear).
• [7] D. Bărbosu, Schurer-Stancu type operators, (to appear in Studia Univ. "Babeş-Bolyai").
• [8] S. N. Bernstein, Démonstration du théorème de Weierstrass fondée sur le calcul de probabilités, Commun. Soc. Math. Kharkow 92, 13 (1912-13), 1-2.
• [9] H. Bohman, On approximation of continuous and of analytic functions, Ark. Mat. 2 (1952) 43-56.
• [10] L. V. Kantorovich, Sur certains développements suivant les polynômes de la forme de S. Bernstein, I, II, C.R .Acad .U R SS (1930), 563-568, 595-600.
• [11] P. P. Korovkin, On convergence of linear positive operators in the space of continuous functions (Russian), Dokl. Akad. Nauk SSSR (N.S.) 90 (1953), 961-964.
• [12] G. G. Lorentz, Bernstein Polynomials, Toronto: Univ. of Toronto Press, 1953.
• [13] F. Schurer, Linear positive operators in approximation theory, Math. Inst. Techn. Univ. Delft: Report, 1962.
• [14] O. Shisha, B. Mond, The degree of convergence of linear positive operators, Proc. Nat. Acad. Sci. U.S.A, 60 (1968), 1196-2000.
• [15] D. D. Stancu, Approximation of function by a new class of linear polynomial operators, Rev. Roum. Math. Pures et Appl., No. 13 (1968), 1173-1194.
• [16] D. D. Stancu, Asupra unei generalizări a polinoamelor lui Bernstein (Romanian), Studia Universitatis Babeş-Bolyai, 14 (1969), 2, 31-45.
• [17] D. D. Stancu, Gh. Coman, O. Agratini, R. Trâmbiţaş, Analiză Numerică şi Teoria Aproximării, vol. I (Romanian), Presa Universitară Clujeană, Cluj-Napoca, 2001.
• [18] W. Totik, Problems and solutions concerning Kantorovich operators, J. Approx. Theory 37 (1983), 3-4, 291-307.