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Dergiler / Ikonion Journal of Mathematics / 2026 / Volume: 1 Issue: 1

APPROXIMATION BY TWO DIMENSIONAL GADJIEV-IBRAGIMOV TYPE OPERATORS

Nazmiye Gönül Bilgin(Zonguldak Bulent Ecevit University, Department of Mathematics)0000-0001-6300-6889
Numan Özgür(Zonguldak Bulent Ecevit University, Department of Mathematics)
Sayfa
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Yayın Tarihi
2019-01-18
DOI
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Then, we give some approximation properties of these operators.

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Amaç & Hipotez:In the present paper we introduce linear positive operators which are defined in [1] by generalization of Gadjiev-Ibragimov operators and give some approximation properties of these operators in the space of continuous functions of two variables on a compact set.
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Temel Bulgular & Veri:We find certain moments of this operator and estimate for approximation error of the operators in terms of modulus of continuity.
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Sonuç & Katkı:Then, we give some approximation properties of these operators.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Gadjiev-Ibragimov Operators · Linear Positive Operators

Abstract

In the present paper we introduce linear positive operators which are defined in [1] by generalization of Gadjiev-Ibragimov operators and give some approximation properties of these operators in the space of continuous functions of two variables on a compact set. We find certain moments of this operator and estimate for approximation error of the operators in terms of modulus of continuity. Then, we give some approximation properties of these operators.

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Bu Makaleye Atıf Yap

Bilgin, N. G., Özgür, N. (2019). APPROXIMATION BY TWO DIMENSIONAL GADJIEV-IBRAGIMOV TYPE OPERATORS. Ikonion Journal of Mathematics, Volume: 1 Issue: 1. https://ajindex.com/articles/1492830

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Kaynakça (7)

  1. Ibragimov I. I., and Gadjiev A. D. (1970) On a certain Family of linear positive operators, Soviet Math. Dokl., English Trans., 11, 1092–1095.
  2. Coskun T. (2012) On the order of weighted approximation by positive linear operators, Turkish J. Math., 36 (1), pp. 113-120.
  3. Aral A. (2003) Approximation by Ibragimov-Gadjiev operators in polynomial weighted space, Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerb., 19 35–44.
  4. Ghorbanalizadeh, A. M. (2014) On the order of weighted approximation of unbounded functions by some generalizations of Gadjiev-Ibragimov operators, J. Appl. Anal., 20, No. 1, 87–92.
  5. Gonul N., Coskun E. (2013) Approximation with modified Gadjiev–Ibragimov operators in C[0,A], J. Comput. Anal. Appl., 15 (5) pp. 868-879.
  6. Gonul N., Coskun E. (2012) Weighted approximation by positive linear operators, Proceedings of IMM of NAS of Azerbaijan,, vol. XXXVI (XLIV), pp. 41-50.
  7. Gonul N., Coskun E. (2012) Weighted approximation by positive linear operators, Proceedings of IMM of NAS of Azerbaijan,, vol. XXXVI (XLIV), pp. 41-50.