The rate of convergence of this operators is calculated by means of the modulus of continuity.
📌 3 Key Takeaways
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Objective & Hypothesis:In the present paper we introduce positive linear three-dimensional Bernstein-Chlodowsky polynomials on a non-tetrahedron domain and we get their q-analogue.
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Key Findings & Data:We obtain aproximation properties for these positive linear operators and their generalizations in this work.
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Conclusion & Impact:The rate of convergence of this operators is calculated by means of the modulus of continuity.
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.
Özet
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.
Bilgin, N. G., ÇETİNKAYA, M. (2018). Approximation By Three-Dimensional q-Bernstein-Chlodowsky Polynomials. Sakarya University Journal of Science, Cilt: 22 Sayı: 6, 1774–1786. https://ajindex.com/articles/942100
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