Results on Bivariate Modified (p, q)-Bernstein Type Operators

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2023 Turkey Publisher:Gazi University Journal of ScienceJournal:Gazi University Journal of Science, volume 36, pages 845-860 (eissn: 2147-1762,

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Authors: Nazmiye GÖNÜL BİLGİN; Melis EREN;

doi: 10.35378/gujs.868893

handle: 20.500.12628/27918

Results on Bivariate Modified (p, q)-Bernstein Type Operators

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Abstract

Here, we construct a modification of the (𝑝,𝑞)-Bernstein operators for the two-dimensional case. We study some important properties of these new operators. We estimate the rate of convergence of these operators using modulus of continuity then we give these estimation for functions belonging to class 𝐿𝑖𝑝𝑀(𝛼1,𝛼2).

Country

Turkey

Related Organizations

Bülent Ecevit University
Turkey
ZONGULDAK BULENT ECEVIT UNIVERSITY
Turkey

Keywords

0101 mathematics, Engineering, 01 natural sciences, Mühendislik, (p;q)-Bernstein operators;(p;q)- integer;Modulus of continuity

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