Üç Boyutlu q-Bernstein-Chlodowsky Polinomları İle Yaklaşım

Year 2018, , 1774 - 1786, 01.12.2018

Nazmiye Gönül Bilgin , Merve Çetinkaya

https://doi.org/10.16984/saufenbilder.348912

Cited By: 4

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

• Referans1 G.M.Philips, “On Generalized Bernstein Polynomials”, in Numerical Analysis: D.F. Griffits, G.A. Watson Eds, World Scientific Singapore, pp. 263-269, 1996.
• Referans2 H. Karsli and V. Gupta, “Some Approximation Properties of q-Chlodowsky Operators”, Applied Mathematics and Computation, vol. 195, pp. 220–229, 2008.
• Referans3 I. Buyukyazici, “One the Approximation Properties of Two-Dimensional q-Bernstein-Chlodowsky Polynomials”, Mathematical Communications vol. 14, no. 2, pp. 255-269, 2009.
• Referans4 I. Buyukyazici and E. Ibikli, “The Approximation Properties of Generalized Bernstein-Chlodowsky Polynomials of Two Variables”, Applied Mathematics and Computation vol. 156, pp. 367–380, 2004.
• 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.