Bazı Gadjiev İbragimov Tipli Operatörlerin Karşılaştırma Sonuçları

Yıl 2018, Cilt: 8 Sayı: 1, 188 - 196, 01.01.2018

Nazmiye Gönül Bilgin Nurullah Coşkun

Öz

Bu çalışmada amacımız bazı Gadjiev- İbragimov tipli operatörlerin yaklaşım durumlarını karşılaştırmaktır. Bu operatörlerin yakınsaklık dereceleri verilecek ve belirlenen fonksiyona yakınsaklık hızları, Maple algoritması kullanılarak grafiksel olarak gösterilecektir. Aynı zamanda n nin bazı değerleri için bu operatörlerin hata sınırı karşılaştırılacaktır

Anahtar Kelimeler

Doğrusal pozitif operatörler, Gadjiev Ibragimov tipi operatörler, Süreklilik modülü

Comparison Result of Some Gadjiev Ibragimov Type Operators

Öz

The aim of this paper is to compare of approximation situation some of the Gadjiev and Ibragimov type operators. We give estimation the rate of convergence of these operators and we show the rate of convergence of these operators to certain function by illustrative graphics using the Maple algorithms. Also, compare eror bounded of these operator for some values of n.

Anahtar Kelimeler

Linear Positive Operator, Gadjiev Ibragimov Type Operators, Modulus of Continuity.

Kaynakça

• Altın, A., Doğru, O. 2004. Direct and Inverse Estimations For a Generalization of Positive Linear Operators. 6th WSEAS International Conferences on Applied Mathematics, Corfu Island, Greece, August 17-19.
• Aral, A. 2003. Approximation by Ibragimov-Gadjiev operators in polynomial weighted space. Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerb., 19: 35–44.
• Baskakov, VA. 1957. An example of a sequence of linear positive operators in the spaces of continuous functions. Dokl. Akad. Nauk. SSSR 112, 249.251.
• Baskakov, VA. 1961. On a Construction of Converging Sequences of Linear Positive Operators. Stud. Mod. Prob. Const. Theo. Func., pp.314 - 318. (Russian).
• Coşkun, T. 2012. On the Order of Weighted Approximation of by Sequences of Positive Linear Operators. Turk. J. Math., 36: 113-120.
• Doğru, O. 1997. On the Order of Approximation of Unbounded Functions of the Family of Generalized Linear Operators. Commun. Fac. Sci. Univ. Ank. Series A1, 46: 173-181.
• Gadjiev, AD., Ibragimov, II. 1970. On a Certain Family of linear positive operators. Soviet Math. Dokl., English Trans., 11: 1092–1095
• Gadjiev, AD., İspir, N. 1999. On a Sequence of Linear Positive Operators in Weighted Spaces. Proceeding of IMM of NAS of Azerbaijan AS,XI:45-56.
• Gönül, N., Coşkun, E. 2012. Weighted Approximation By Positive Linear Operators Proceedings of IMM of NAS of Azerbaijan, vol. XXXVI (XLIV), pp. 41-50.
• İspir, N., Aral, A., Doğru, O. 2008. On Kantorovich Process of a Sequence of the Generalized Linear Positive Operators. Num. Func. Anlys. Opt., 29 (5-6): 574-589.
• Ulusoy, G., Deniz, E., Aral, A. 2015. Simultaneus Approximation with Generalized Durrmeyer Operators. App.Math. Compt., 260, 126-134.