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Journals / Gazi University Journal of Science / 2023 / Cilt: 36 Sayı: 2

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

Nazmiye GÖNÜL BİLGİN
Melis EREN
Pages
845–860
Publication Date
2023-06-01
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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).

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Here, we construct a modification of the (𝑝,𝑞)-Bernstein operators for the two-dimensional case.
📊
Key Findings & Data:We study some important properties of these new operators.
💡
Conclusion & Impact: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).
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:q)-Bernstein operators · q)- integer · Modulus of continuity

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).

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Cite This Article

BİLGİN, N. G., EREN, M. (2023). Results on Bivariate Modified (p, q)-Bernstein Type Operators. Gazi University Journal of Science, Cilt: 36 Sayı: 2, 845–860. https://ajindex.com/articles/939698

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