Czasopismo
2009
|
Vol. 42, nr 1
|
97-107
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
The aim of this paper is to study the convergence and approximation properties of the bivariate operators and GBS operators of Durrmeyer-type.
Czasopismo
Rocznik
Tom
Strony
97-107
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
autor
- National College "Mihai Eminescu" 5 Mihai Eminescu Street Satu Mare 440014, Romania, ovidiutiberiu@yahoo.com
Bibliografia
- [1] I. Badea, Modul de continuitate in sens Bogel si unele aplica?ii in aproximarea printrun operator Bernstein, Studia Univ. Babes-Bolyai Math. 18 (2) (1973), 69-78 (Romanian).
- [2] C. Badea, I. Badea, H. H. Gonska, A test function theorem and approximation by pseudopolynomials, Bull. Austral. Math. Soc. 34 (1986), 55-64.
- [3] C. Badea, C. Cottin, Korovkin-type theorems for generalized boolean sum operators, Colloq. Math. Soc. Janos Bolyai, 58, Approximation Theory, Kecskemét (Hungary) (1990), 51-67 (1988), 95-108.
- [4] C. Badea, I. Badea, C. Cottin, H. H. Gonska, Notes on the degree of approximation of B-continuous and B-differentiable functions, J. Approx. Theory Appl. 4 (1988), 95-108.
- [5] D. Bărbosu, Polynomial Approximation by Means of Schurer-Stancu type Operators, Ed. Universităµii de Nord, Baia Mare, 2006.
- [6] K. Bögel, Mehrdimensionale Differentiation von Funtionen mehrerer Veranderlicher, J. Reine Angew. Math. 170 (1934), 197-217.
- [7] K. Bögel, Über die mehrdimensionale Differentiation, Integration und beschrankte Variation, J. Reine Angew. Math. 173 (1935), 5-29.
- [8] K. Bögel, Über die mehrdimensionale Differentiation, Jber. DMV 65 (1962), 45-71.
- [9] M. M. Derriennic, Sur l’approximation des functions integrables sur [0,1] par des polinômes de Bernstein modifies, J. Approx. Theory 31 (1981), 325-343.
- [10] J. L. Durrmeyer, Une formule d’inversion de la transformee de Laplace: Applications ? la theorie des momentes, Thése de 3e cycle, Faculté des Sciences de l’Université de Paris, 1967.
- [11] G. G. Lorentz, Bernstein Polynomials, University of Toronto Press, Toronto, 1953.
- [12] O. T. Pop, M. D. Fărcas, Approximation of B-continuous and B-differentiable functions by GBS operators of Bernstein bivariate polynomials, J. Inequal. Pure Appl. Math. 7 (2006), 9 pp. (electronic).
- [13] O. T. Pop, Approximation of B-differentiable functions by GBS operators, Anal. Univ. Oradea, Fasc. Matem. Tom XIV (2007), 15-31.
- [14] D. D. Stancu, Asupra aproximării func?iilor de două variabile prin polinoame de tip Bernstein. Cateva evaluări asimptotice, Studii si Cercetări Matematice 11 (1960), 171-176 (Romanian).
- [15] D. D. Stancu, Gh. Coman, Gh. Agratini, Gh. Trîmbiµas, Analiză numerică si teoria aproximării ?, Presa Universitară Clujeană, Cluj-Napoca, 2001 (Romanian).
- [16] A. F. Timan, Theory of Approximation of Functions of Real Variable, New York: Macmillan Co. 1963. MR22#8257.
Typ dokumentu
Bibliografia
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Identyfikator YADDA
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