Approximation by the new modification of Bernstein-Stancu operators

Melek SOFYALIOĞLU; Kadir KANAT

Makale detayları

Approximation by the new modification of Bernstein-Stancu operators

Yazarlar:

Melek SOFYALIOĞLU | Kadir KANAT

Ana Başlıklar:

Matematik

Dergi:

Cumhuriyet Science Journal 2021 Vol.42 Issue 4, pp.862-872

Belge Tipi:

Makale

Yayın Tarihi:

12/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000920255

Özet:

 

The current paper deals with the new modification of Bernstein-Stancu operators which preserve constant and Korovkin’s other test functions in limit case. We study the uniform convergence of the newly defined operators. The rate of convergence is investigated by means of the modulus of continuity, by using functions of Lipschitz class and by the help of Peetre-K functionals. Then a Voronovskaya type asymptotic formula for the newly constructed Bernstein-Stancu operators is presented. Finally, some graphs are given to illustrate the convergence properties of operators to some functions.

Makale detayları

Approximation by the new modification of Bernstein-Stancu operators

Yazarlar: Melek SOFYALIOĞLU | Kadir KANAT

Ana Başlıklar: Matematik

Dergi: Cumhuriyet Science Journal 2021 Vol.42 Issue 4, pp.862-872

Belge Tipi: Makale

Yayın Tarihi: 12/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000920255

Sayı

Yazarlar:

Melek SOFYALIOĞLU | Kadir KANAT

Ana Başlıklar:

Matematik

Dergi:

Cumhuriyet Science Journal 2021 Vol.42 Issue 4, pp.862-872

Belge Tipi:

Makale

Yayın Tarihi:

12/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000920255