Then, using the concept of A-statistical convergence we obtain some approximation results which are stronger than the aspects of the classical approximation theory.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In the present paper, we introduce a sequence of linear operators, which is a higher order generalization of positive linear operators defined by a class of Borel measures studied in [2].
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Temel Bulgular & Veri:In the present paper, we introduce a sequence of linear operators, which is a higher order generalization of positive linear operators defined by a class of Borel measures studied in [2].
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Sonuç & Katkı:Then, using the concept of A-statistical convergence we obtain some approximation results which are stronger than the aspects of the classical approximation theory.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Statistical convergence · A-statistical convergence · positive linear operators
Özet
In the present paper, we introduce a sequence of linear operators, which is a higher order generalization of positive linear operators defined by a class of Borel measures studied in [2]. Then, using the concept of A-statistical convergence we obtain some approximation results which are stronger than the aspects of the classical approximation theory.
Abstract
In the present paper, we introduce a sequence of linear operators, which is a higher order generalization of positive linear operators defined by a class of Borel measures studied in [2]. Then, using the concept of A-statistical convergence we obtain some approximation results which are stronger than the aspects of the classical approximation theory.
DUMAN, O. (2022). Higher Order Generalization of Positive Linear Operators Defined by a Class of Borel Measures. Turkish Journal of Mathematics, Cilt: 31 - Sayı: 3, 333–339. https://ajindex.com/articles/608615
Devore, R.A.: The Approximation of ContinuousFunctionsby Positive Linear Operators, Lecture Notesin Math. 293, Springer, Berlin, 1972.
Duman, O., Khan, M.K., Orhan, C.: A-statistical convergence of approximating operators. Math. Inequal. Appl. 6, 689-699 (2003).
Duman, O., ¨Ozarslan, M.A., Do˘gru, O.: On integral type generalizationsof positive linear operators. Studia Math. 174, 1-12 (2006).
Duman O., Orhan, C.: Statistical approximation by positive linear operators. Studia Math., 187-197 (2004). Erku¸s, E., Duman, O.: A-statistical extension of the Korovkin type approximation theorem. Proc. Indian Acad. Sci. (Math. Sci.) 115, 499-508 (2005).
Fast, H.: Sur la convergence statistique. Colloq. Math. 2, 241-244 (1951).
Freedman, A.R., Sember, J.J.: Densities and summability. PaciŞc J. Math. 95, 293-305 (1981).
Fridy, J.A.: On statistical convergence. Analysis 5, 301-313 (1981).
Gadjiev, A.D., Orhan, C.: Some approximation theorems via statistical convergence. Rocky Mountain J. Math. 32, 129-138 (2002).