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A Generalization of Two Dimensional Bernstein-Stancu Operators

Cilt: 6 Sayı: 2 29 Aralık 2021
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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

  1. 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.
  2. Karaisa, A. (2016). On the approximation properties of bivariate (p,q)-Bernstein operators, arXiv:1601.05250.
  3. 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).
  4. 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
  5. 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
  6. 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
  7. Khan, A., & Sharma, V. (2018). Statistical Approximation by (p,q)-analogue of Bernstein-Stancu operators. Azerbaijan Journal of Mathematics, 8(2), 100-121.
  8. 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

Kaynak Göster

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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