Yıl: 2009 Cilt: 58 Sayı: 1 Sayfa Aralığı: 17 - 22 Metin Dili: Türkçe İndeks Tarihi: 29-07-2022

A new approach in obtaining a better estimation in approximation by positive linear operators

Öz:
Bu çalışmada, pozitif doğrusal operatörlerle yaklaşımda daha iyi hata tahminleri elde edebilmek için bazı test fonksiyonların operatörler tarafından korunmasına ihtiyaç duyulmaksızın yeni bir yaklaşım metodu sunulmaktadır. Ayrıca buradaki metodun bilinen pek çok yaklaşım operatörlerine de uygulanabildiği gösterilmektedir.
Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık

-

Öz:
In this study, without preserving some test functions, we present a new approach in obtaining a better error estimation in the approximation by means of positive linear operators. We also show that our method can be applied to many well-known approximation operators.
Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • [1] O. Agratini, Linear operators that preserve some test functions. Int. J. Math. Math. Sci. Art.ID 94136 (2006), 11 pp.
  • [2] O. Agratini, On the iterates of a class of summation-type linear positive operators, Comput. Math. Appl. 55 (2008) 1178-1180.
  • [3] F. Altomare and M. Campiti, Korovkin-type Approximation Theory and its Application, Walter de Gruyter Studies in Math. 17, de Gruyter & Co., Berlin, 1994.
  • [4] O. Duman and M.A. Özarslan, Szász-Mirakjan type operators providing a better error estimation, Appl. Math. Lett. 20 (2007) 1184-1188.
  • [5] J.P. King, Positive linear operators which preserve x2, Acta. Math. Hungar. 99 (2003) 203-208.
  • [6] P.P. Korovkin, Linear Operators and Approximation Theory, Hindustan Publ. Co., Delhi,India, 1960.
  • [7] M.A. Özarslan and O. Duman, MKZ type operators providing a better estimation on [1=2; 1), Canadian Math. Bull. 50 (2007) 434-439.
APA Duman O, ÖZARSLAN M (2009). A new approach in obtaining a better estimation in approximation by positive linear operators. , 17 - 22.
Chicago Duman Oktay,ÖZARSLAN M. Ali A new approach in obtaining a better estimation in approximation by positive linear operators. (2009): 17 - 22.
MLA Duman Oktay,ÖZARSLAN M. Ali A new approach in obtaining a better estimation in approximation by positive linear operators. , 2009, ss.17 - 22.
AMA Duman O,ÖZARSLAN M A new approach in obtaining a better estimation in approximation by positive linear operators. . 2009; 17 - 22.
Vancouver Duman O,ÖZARSLAN M A new approach in obtaining a better estimation in approximation by positive linear operators. . 2009; 17 - 22.
IEEE Duman O,ÖZARSLAN M "A new approach in obtaining a better estimation in approximation by positive linear operators." , ss.17 - 22, 2009.
ISNAD Duman, Oktay - ÖZARSLAN, M. Ali. "A new approach in obtaining a better estimation in approximation by positive linear operators". (2009), 17-22.
APA Duman O, ÖZARSLAN M (2009). A new approach in obtaining a better estimation in approximation by positive linear operators. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 58(1), 17 - 22.
Chicago Duman Oktay,ÖZARSLAN M. Ali A new approach in obtaining a better estimation in approximation by positive linear operators. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 58, no.1 (2009): 17 - 22.
MLA Duman Oktay,ÖZARSLAN M. Ali A new approach in obtaining a better estimation in approximation by positive linear operators. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.58, no.1, 2009, ss.17 - 22.
AMA Duman O,ÖZARSLAN M A new approach in obtaining a better estimation in approximation by positive linear operators. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2009; 58(1): 17 - 22.
Vancouver Duman O,ÖZARSLAN M A new approach in obtaining a better estimation in approximation by positive linear operators. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2009; 58(1): 17 - 22.
IEEE Duman O,ÖZARSLAN M "A new approach in obtaining a better estimation in approximation by positive linear operators." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 58, ss.17 - 22, 2009.
ISNAD Duman, Oktay - ÖZARSLAN, M. Ali. "A new approach in obtaining a better estimation in approximation by positive linear operators". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 58/1 (2009), 17-22.