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Bazı Gadjiev İbragimov Tipli Operatörlerin Karşılaştırma Sonuçları

Year 2018, Volume: 8 Issue: 1, 188 - 196, 01.01.2018

Nazmiye Gönül Bilgin Nurullah Coşkun

Abstract

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

Keywords

Doğrusal pozitif operatörler Gadjiev Ibragimov tipi operatörler Süreklilik modülü

References

  • 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.

Comparison Result of Some Gadjiev Ibragimov Type Operators

Year 2018, Volume: 8 Issue: 1, 188 - 196, 01.01.2018

Nazmiye Gönül Bilgin Nurullah Coşkun

Abstract

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.

Keywords

Linear Positive Operator Gadjiev Ibragimov Type Operators Modulus of Continuity.

References

  • 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.
There are 11 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Nazmiye Gönül Bilgin This is me

Nurullah Coşkun This is me

Publication Date January 1, 2018
Published in Issue Year 2018 Volume: 8 Issue: 1

Cite

APA Bilgin, N. G., & Coşkun, N. (2018). Comparison Result of Some Gadjiev Ibragimov Type Operators. Karaelmas Fen Ve Mühendislik Dergisi, 8(1), 188-196.
AMA Bilgin NG, Coşkun N. Comparison Result of Some Gadjiev Ibragimov Type Operators. Karaelmas Fen ve Mühendislik Dergisi. January 2018;8(1):188-196.
Chicago Bilgin, Nazmiye Gönül, and Nurullah Coşkun. “Comparison Result of Some Gadjiev Ibragimov Type Operators”. Karaelmas Fen Ve Mühendislik Dergisi 8, no. 1 (January 2018): 188-96.
EndNote Bilgin NG, Coşkun N (January 1, 2018) Comparison Result of Some Gadjiev Ibragimov Type Operators. Karaelmas Fen ve Mühendislik Dergisi 8 1 188–196.
IEEE N. G. Bilgin and N. Coşkun, “Comparison Result of Some Gadjiev Ibragimov Type Operators”, Karaelmas Fen ve Mühendislik Dergisi, vol. 8, no. 1, pp. 188–196, 2018.
ISNAD Bilgin, Nazmiye Gönül - Coşkun, Nurullah. “Comparison Result of Some Gadjiev Ibragimov Type Operators”. Karaelmas Fen ve Mühendislik Dergisi 8/1 (January 2018), 188-196.
JAMA Bilgin NG, Coşkun N. Comparison Result of Some Gadjiev Ibragimov Type Operators. Karaelmas Fen ve Mühendislik Dergisi. 2018;8:188–196.
MLA Bilgin, Nazmiye Gönül and Nurullah Coşkun. “Comparison Result of Some Gadjiev Ibragimov Type Operators”. Karaelmas Fen Ve Mühendislik Dergisi, vol. 8, no. 1, 2018, pp. 188-96.
Vancouver Bilgin NG, Coşkun N. Comparison Result of Some Gadjiev Ibragimov Type Operators. Karaelmas Fen ve Mühendislik Dergisi. 2018;8(1):188-96.