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A Generalization of Two Dimensional Bernstein-Stancu Operators
Öz
The aim in our study is giving a generalization of the two-dimensional (p,q)-Bernstein-Stancu operators in a particular domain. In addition, by creating some direct results of these operators, rate of convergence is studied by Lipschitz type functions and modulus of continuity.
Anahtar Kelimeler
Kaynakça
- Bernstein, S. (1912). Démostration du théoréme de Weierstrass fondée sur le calcul de probabilités. Communications de la Soci´et´e math´ematique de Kharkow, 13(1), 1-2.
- Karaisa, A. (2016). On the approximation properties of bivariate (p,q)-Bernstein operators, arXiv:1601.05250.
- Mursaleen, M., Ansari, K.J., & Khan, A. (2015). On (p,q)-analogue of Bernstein operators. Applied Mathematics and Computation, 266, 874-882. https://doi.org/10.1016/j.amc.2015.04.090 (Erratum to “On (p,q)-analogue of Bernstein Operators” Applied Mathematics and Computation, 278, 70-71. https://doi.org/10.1016/j.amc.2016.02.008).
- Mursaleen, M., Ansari, K.J., & Khan, A. (2016). Some approximation results by (p,q)-analogue of Bernstein-Stancu operators, Applied Mathematics and Computation, 264, 392-402. https://doi.org/10.1016/j.amc.2015.03.135
- Mursaleen, M., Nasiruzzaman, M., & Nurgali, A. (2015). Some approximation results on Bernstein-Schurer operators defined by (p,q)-integers., Journal of Inequalities and Applications, 249, https://doi.org/10.1186/s13660-015-0767-4
- Kang, S. M., Rafiq, A., Acu, A. M., Ali, F., & Kwun, Y. C. (2016). Some approximation properties of (p,q)-Bernstein operators. Journal of Inequalities and Applications, 169, 1-10. https://doi.org/10.1186/s13660-016-1111-3
- Khan, A., & Sharma, V. (2018). Statistical Approximation by (p,q)-analogue of Bernstein-Stancu operators. Azerbaijan Journal of Mathematics, 8(2), 100-121.
- Ansari, K. J., & Karaisa, A. (2017). On the approximation by Chlodowsky type generalization of (p,q)-Bernstein operators. International Journal of Nonlinear Analysis and Applications, 8, 181-200. https://doi:10.22075/ijnaa.2017.1827.1479
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
29 Aralık 2021
Gönderilme Tarihi
26 Ekim 2021
Kabul Tarihi
26 Kasım 2021
Yayımlandığı Sayı
Yıl 2021 Cilt: 6 Sayı: 2
APA
Gönül Bilgin, N., & Eren, M. (2021). A Generalization of Two Dimensional Bernstein-Stancu Operators. Sinop Üniversitesi Fen Bilimleri Dergisi, 6(2), 130-142. https://doi.org/10.33484/sinopfbd.1015143
AMA
1.Gönül Bilgin N, Eren M. A Generalization of Two Dimensional Bernstein-Stancu Operators. Sinopfbd. 2021;6(2):130-142. doi:10.33484/sinopfbd.1015143
Chicago
Gönül Bilgin, Nazmiye, ve Melis Eren. 2021. “A Generalization of Two Dimensional Bernstein-Stancu Operators”. Sinop Üniversitesi Fen Bilimleri Dergisi 6 (2): 130-42. https://doi.org/10.33484/sinopfbd.1015143.
EndNote
Gönül Bilgin N, Eren M (01 Aralık 2021) A Generalization of Two Dimensional Bernstein-Stancu Operators. Sinop Üniversitesi Fen Bilimleri Dergisi 6 2 130–142.
IEEE
[1]N. Gönül Bilgin ve M. Eren, “A Generalization of Two Dimensional Bernstein-Stancu Operators”, Sinopfbd, c. 6, sy 2, ss. 130–142, Ara. 2021, doi: 10.33484/sinopfbd.1015143.
ISNAD
Gönül Bilgin, Nazmiye - Eren, Melis. “A Generalization of Two Dimensional Bernstein-Stancu Operators”. Sinop Üniversitesi Fen Bilimleri Dergisi 6/2 (01 Aralık 2021): 130-142. https://doi.org/10.33484/sinopfbd.1015143.
JAMA
1.Gönül Bilgin N, Eren M. A Generalization of Two Dimensional Bernstein-Stancu Operators. Sinopfbd. 2021;6:130–142.
MLA
Gönül Bilgin, Nazmiye, ve Melis Eren. “A Generalization of Two Dimensional Bernstein-Stancu Operators”. Sinop Üniversitesi Fen Bilimleri Dergisi, c. 6, sy 2, Aralık 2021, ss. 130-42, doi:10.33484/sinopfbd.1015143.
Vancouver
1.Nazmiye Gönül Bilgin, Melis Eren. A Generalization of Two Dimensional Bernstein-Stancu Operators. Sinopfbd. 01 Aralık 2021;6(2):130-42. doi:10.33484/sinopfbd.1015143
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Adıyaman University Journal of Science
https://doi.org/10.37094/adyujsci.1660367