Approximation by $\alpha$-Bernstein-Schurer operator

Year 2021, Volume: 50 Issue: 3 , 732 - 743 , 07.06.2021

Nursel Çetin

https://doi.org/10.15672/hujms.626905

Cited By: 4

https://izlik.org/JA49CG77FF

Abstract

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.

Keywords

Bernstein-Schurer operators , α-Bernstein operator , Modulus of continuity , Voronovskaya type theorem , Grüss-Voronovskaya type theorem

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