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http://yadda.icm.edu.pl:80/baztech/element/bwmeta1.element.baztech-article-BPP3-0003-0071

Czasopismo

Fasciculi Mathematici

Tytuł artykułu

A Korovkin type approximation theorem and its application

Autorzy Büyükyazici, Í. 
Treść / Zawartość http://www.math.put.poznan.pl/fasciculi_m.htm
Warianty tytułu
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.
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.
Kolekcja BazTech
Identyfikator YADDA bwmeta1.element.baztech-article-BPP3-0003-0071
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