Approximation by the new modification of Bernstein-Stancu operators

kanat, kadir; Sofyalıoğlu, Melek

doi:10.17776/csj.942629

Approximation by the new modification of Bernstein-Stancu operators

Melek SOFYALIOĞLU, (Ankara Hacı Bayram Veli Üniversitesi, Polatlı Fen-Edebiyat Fakültesi, Matematik Bölümü, Ankara, Türkiye)

Kadir KANAT (Ankara Hacı Bayram Veli Üniversitesi, Polatlı Fen-Edebiyat Fakültesi, Matematik Bölümü, Ankara, Türkiye)

Cumhuriyet Science Journal

2 1

Yıl: 2021 Cilt: 42 Sayı: 4 Sayfa Aralığı: 862 - 872 Metin Dili: İngilizce DOI: 10.17776/csj.942629 İndeks Tarihi: 11-08-2022

Approximation by the new modification of Bernstein-Stancu operators

Öz:

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.

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Sofyalıoğlu M, kanat k (2021). Approximation by the new modification of Bernstein-Stancu operators. , 862 - 872. 10.17776/csj.942629
Chicago	Sofyalıoğlu Melek,kanat kadir Approximation by the new modification of Bernstein-Stancu operators. (2021): 862 - 872. 10.17776/csj.942629
MLA	Sofyalıoğlu Melek,kanat kadir Approximation by the new modification of Bernstein-Stancu operators. , 2021, ss.862 - 872. 10.17776/csj.942629
AMA	Sofyalıoğlu M,kanat k Approximation by the new modification of Bernstein-Stancu operators. . 2021; 862 - 872. 10.17776/csj.942629
Vancouver	Sofyalıoğlu M,kanat k Approximation by the new modification of Bernstein-Stancu operators. . 2021; 862 - 872. 10.17776/csj.942629
IEEE	Sofyalıoğlu M,kanat k "Approximation by the new modification of Bernstein-Stancu operators." , ss.862 - 872, 2021. 10.17776/csj.942629
ISNAD	Sofyalıoğlu, Melek - kanat, kadir. "Approximation by the new modification of Bernstein-Stancu operators". (2021), 862-872. https://doi.org/10.17776/csj.942629

APA	Sofyalıoğlu M, kanat k (2021). Approximation by the new modification of Bernstein-Stancu operators. Cumhuriyet Science Journal, 42(4), 862 - 872. 10.17776/csj.942629
Chicago	Sofyalıoğlu Melek,kanat kadir Approximation by the new modification of Bernstein-Stancu operators. Cumhuriyet Science Journal 42, no.4 (2021): 862 - 872. 10.17776/csj.942629
MLA	Sofyalıoğlu Melek,kanat kadir Approximation by the new modification of Bernstein-Stancu operators. Cumhuriyet Science Journal, vol.42, no.4, 2021, ss.862 - 872. 10.17776/csj.942629
AMA	Sofyalıoğlu M,kanat k Approximation by the new modification of Bernstein-Stancu operators. Cumhuriyet Science Journal. 2021; 42(4): 862 - 872. 10.17776/csj.942629
Vancouver	Sofyalıoğlu M,kanat k Approximation by the new modification of Bernstein-Stancu operators. Cumhuriyet Science Journal. 2021; 42(4): 862 - 872. 10.17776/csj.942629
IEEE	Sofyalıoğlu M,kanat k "Approximation by the new modification of Bernstein-Stancu operators." Cumhuriyet Science Journal, 42, ss.862 - 872, 2021. 10.17776/csj.942629
ISNAD	Sofyalıoğlu, Melek - kanat, kadir. "Approximation by the new modification of Bernstein-Stancu operators". Cumhuriyet Science Journal 42/4 (2021), 862-872. https://doi.org/10.17776/csj.942629