Simultaneous approximation by some Kantorovich type operators

• Autorzy: Bărbosu D.
• Języki publikacji: EN

Abstrakty

EN

Considering the given integer p > 0 and the given real parameters alfa,beta satisfying the conditions 0 < alfa

Słowa kluczowe

EN

approximation; Schurer operator; Stancu operator; Kantorovich operator

PL

aproksymacja; operatory Schurera; operatory Stancu; operatory Kantorovicha

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 2
• Strony: 413--418
• Opis fizyczny: Bibliogr. 21 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, Presa Universitară Clujeană, Cluj-Napoca (2000) (Romanian).
• [2] D. Bărbosu, M. Bărbosu, Some properties of the fundamental polynomials of Bernstein-Schurer, Proceedings of “3-rd International Conference on Applied Mathematics” (icam3), Baia Mare-Borşa, Romania, October 10-13 (2002); in Bul. Ştii. Univ. Baia Mare, Ser. B, Fasc. Math-Inf, vol. XVIII, Nr.2 (2002), 133-136.
• [3] D. Bărbosu, Simultaneous approximation by Schurer-Stancu type operators, Math. Balkanica, vol. 37, fasc. 3-4 (2003), 363-372.
• [4] D. Bărbosu, The Kantorovich form of Schurer-Stancu operators, Demonstratio Math. vol. 17, fasc. 2, (2004), 383-391.
• [5] D. Bărbosu, Kantorovich-Schurer type operators, (submitted).
• [6] D. Bărbosu, Schurer-Stancu type operators, Studia Univ. “Babeş-Bolyai”, vol. XLVIII, No 3 (2003), 31-35.
• [7] D. Bărbosu, Kantorovich-Stancu type operators, JIPAM (Journal of Inequalities in Pure and Applied Mathematics), vol. 5 (2004), 1-6.
• [8] L. V. Kantorovich, Sur certain développements suivant les polinômes de la forme de S. Bernstein, I, II, C.R. Acad. URSS (1930), 563-568, 595-600.
• [9] Z. Ditzian, X.-L. Zhon, Kantorovich Bernstein Polynomials, Constr. Approx. 6 (1990), 421-436.
• [10] H. H. Gonska, Quantitative Korovkin-type theorems on simultaneous approximation, Math. Z. 186 (1984), 419-433.
• [11] G. G. Lorentz, Bernstein Polynomials, Toronto: University of Toronto Press, 1953.
• [12] A. Lupaş, Some properties of the positive linear operators (I), Mathematica (Cluj) 9, No. 32 (1967), 77-83.
• [13] A. Lupaş, The approximation by some positive linear operators, In: “Approximation Theory” (Proc. Int. Dortmund Meeting on Approximation Theory, 1995; ed. by M.W. Muller et al.), 201-229, Berlin: Akademie Verlag, 1995.
• [14] D. H. Mache, Gewichtete Simultan Approximation in der Lp-Metrik durch das Verfahren der Kantorovich Operatoren, Univ. Dortmund, 1991.
• [15] V. Maier, Lp-approximation by Kantorovich operators, Anal. Math. 4 (1978).
• [16] F. Schurer, Linear positive operators in approximation theory, Math. Inst. Techn. Univ. Delft: Report, 1962.
• [17] D. D. Stancu, Approximation of function by a new class of linear positive operators, Rev. Roum. Math. Pures et Appl. 13, No. 8, (1968), 1173-1194.
• [18] D. D. Stancu, Asupra unei generalizări a polinoamelor lui Bernstein, Studia Univ. “Babeş-Bolyai”, 14 (1969), 2, 31-45 (Romanian).
• [19] D. D. Stancu, Approximation properties of a class of multiparameter positive linear operators, Approximation and Optimization, Proceedings of the International Conference on Approximation and Optimization (Romania) - ICAOR, Cluj-Napoca, July 29-August 1, 1996, Volume I, 107-120.
• [20] D. D. Stancu, Gh. Coman, O. Agratini, R. Trîmbiţaş, Analiză Numerică şi Teoria Aproximării, vol. I, Presa Universitară Clujeană, Cluj-Napoca, 2001 (Romanian).
• [21] W. Totik, Problems and solutions concerning Kantorovich operators, J. Approx. Theory, 37, 3-4 (1983), 291-307.