Üç Boyutlu q-Bernstein-Chlodowsky Polinomları İle Yaklaşım

Abstract

 Bu çalışmada düzgün dört yüzlü olmayan bir bölge üzerinde üç boyutlu Bernstein-Chlodowsky polinomlarını ve bu operatörün q-analoğunu tanıtacağız. Bu lineer pozitif operatörlerin yaklaşım özellikleri ve genelleştirmeleri yapılacaktır. Operatörün yakınsaklık hızı süreklilik modülü anlamında hesaplanacaktır.

Keywords

• Bernstein-Chlodowsky Polinomları,q-Bernstein-Chlodowsky Polinomları

Approximation By Three-Dimensional q-Bernstein-Chlodowsky Polynomials

Abstract

In the present paper we introduce positive linear three-dimensional Bernstein-Chlodowsky polynomials on a non-tetrahedron domain and we get their q-analogue. We obtain aproximation properties for these positive linear operators and their generalizations in this work. The rate of convergence of this operators is calculated by means of the modulus of continuity.

Keywords

• Bernstein-Chlodowsky Polynomials,q- Bernstein-Chlodowsky Polynomials,linear positive operators

References

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3. Referans3 I. Buyukyazici, “One the Approximation Properties of Two-Dimensional q-Bernstein-Chlodowsky Polynomials”, Mathematical Communications vol. 14, no. 2, pp. 255-269, 2009.
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5. Referans5 A.K. Gazanfer, “Weighted Approximation Of Continuous Functions Of Three Variables in a Tetrahedron With Variable Boundary By Bernstein-Chlodowsky Polynomials”, Ph. D. Thesis, Graduate School of Natural and Applied Sciences, Bulent Ecevit Univ., Zonguldak Turkey, 2015.