Approximation by $alpha$-Bernstein-Schurer operator

ÇETİN, Nursel

doi:10.15672/hujms.626905

Approximation by $alpha$-Bernstein-Schurer operator

Nursel ÇETİN (Ankara Hacı Bayram Veli Üniversitesi, Polatlı Fen-Edebiyat Fakültesi, Matematik Bölümü, 06900, Ankara, Türkiye)

Hacettepe Journal of Mathematics and Statistics

4 1

Yıl: 2021 Cilt: 50 Sayı: 3 Sayfa Aralığı: 732 - 743 Metin Dili: İngilizce DOI: 10.15672/hujms.626905 İndeks Tarihi: 29-07-2022

Approximation by $alpha$-Bernstein-Schurer operator

Öz:

In this paper, we introduce a new family of generalized Bernstein-Schurer operators and investigate some approximation properties of these operators. We obtain a uniform approximation result using the well-known Korovkin theorem and give the degree of approximation via second modulus of smoothness. Also, we present Voronovskaya and Grüss-Voronovskaya type results for these operators.

Anahtar Kelime: Modulus of continuity Bernstein-Schurer operators α-Bernstein operator Voronovskaya type theorem Grüss-Voronovskaya type theorem

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

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APA	ÇETİN N (2021). Approximation by $alpha$-Bernstein-Schurer operator. , 732 - 743. 10.15672/hujms.626905
Chicago	ÇETİN Nursel Approximation by $alpha$-Bernstein-Schurer operator. (2021): 732 - 743. 10.15672/hujms.626905
MLA	ÇETİN Nursel Approximation by $alpha$-Bernstein-Schurer operator. , 2021, ss.732 - 743. 10.15672/hujms.626905
AMA	ÇETİN N Approximation by $alpha$-Bernstein-Schurer operator. . 2021; 732 - 743. 10.15672/hujms.626905
Vancouver	ÇETİN N Approximation by $alpha$-Bernstein-Schurer operator. . 2021; 732 - 743. 10.15672/hujms.626905
IEEE	ÇETİN N "Approximation by $alpha$-Bernstein-Schurer operator." , ss.732 - 743, 2021. 10.15672/hujms.626905
ISNAD	ÇETİN, Nursel. "Approximation by $alpha$-Bernstein-Schurer operator". (2021), 732-743. https://doi.org/10.15672/hujms.626905

APA	ÇETİN N (2021). Approximation by $alpha$-Bernstein-Schurer operator. Hacettepe Journal of Mathematics and Statistics, 50(3), 732 - 743. 10.15672/hujms.626905
Chicago	ÇETİN Nursel Approximation by $alpha$-Bernstein-Schurer operator. Hacettepe Journal of Mathematics and Statistics 50, no.3 (2021): 732 - 743. 10.15672/hujms.626905
MLA	ÇETİN Nursel Approximation by $alpha$-Bernstein-Schurer operator. Hacettepe Journal of Mathematics and Statistics, vol.50, no.3, 2021, ss.732 - 743. 10.15672/hujms.626905
AMA	ÇETİN N Approximation by $alpha$-Bernstein-Schurer operator. Hacettepe Journal of Mathematics and Statistics. 2021; 50(3): 732 - 743. 10.15672/hujms.626905
Vancouver	ÇETİN N Approximation by $alpha$-Bernstein-Schurer operator. Hacettepe Journal of Mathematics and Statistics. 2021; 50(3): 732 - 743. 10.15672/hujms.626905
IEEE	ÇETİN N "Approximation by $alpha$-Bernstein-Schurer operator." Hacettepe Journal of Mathematics and Statistics, 50, ss.732 - 743, 2021. 10.15672/hujms.626905
ISNAD	ÇETİN, Nursel. "Approximation by $alpha$-Bernstein-Schurer operator". Hacettepe Journal of Mathematics and Statistics 50/3 (2021), 732-743. https://doi.org/10.15672/hujms.626905