A Korovkin type approximation theorem and its application

• Autorzy: Büyükyazici Í.
• Języki publikacji: PL

Abstrakty

EN

In this paper, we investigate a Korovkin-type approximation theorem for sequences of positive linear operators on the space of all continuous real valued functions defined on [a,b]. We also obtain some approximation properties for sequences of positive linear operators constructed by means of the Bernstein operator.

Słowa kluczowe

PL

operator liniowy; teoria aproksymacji

EN

Korovkin-type theorem; positive linear operator; Bernstein operator

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2010
• Tom: Nr 45
• Strony: 13--23
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Büyükyazici Í.

• Department of Mathematics Gazi University Çubuk- Ankara, Turkey,

Bibliografia

• [1] Altomare F., Campiti M., Korovkin Type Approximation Theory and its Applications, Walter de Gryter Publ., Berlin, 1994.
• [2] Berens H., Lorentz G.G., Inverse theorems for Bernstein polynomials, Indiana Univ. Math. J., 21(8)(1972), 693-708.
• [3] Devore R.A., Lorentz G.G., Constructive Approximation, Springer, Berlin, 1993.
• [4] Dirik F., Demirci K., Korovkin type approximation theorems in B-statistical sense, Mathematical and Computer Modelling, 49(2009), 2037-2044.
• [5] Guessab A., Schmeisser G., Two Korovkin-type theorems in multivariate approximation, Banach J. Math. Anal., 2(2)(2008), 121-128.
• [6] Gupta V., Agrawal P.N., Inverse theorem in simultaneous approximation by Szasz-Durrmeyer operators, J. Indian Math. Soc., 63(1-4)(1997), 99-113.
• [7] Heping W., Korovkin-type theorem and application, Journal of Approximation Theory, 132(2005), 258-264.
• [8] Korovkin P.P., Linear Operators and Approximation Theory, Hindustan Publ. Co., Delhi, 1960.
• [9] Mahmudov N.I., Korovkin-type theorems and applications, Cent. Eur. J. Math., 7(2)(2009), 348-356.
• [10] Finta Z., Gupta V., Approximation by q-Durrmeyer operators, J. Appl. Math. Comput., 29(2009), 401-415.