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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 3

Linear positive operators constructed by using Beta-type bases

Octavian AGRATİNİ
Pages
1030–1038
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

In our construction particular cases are outlined.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Starting from a discrete linear approximation process that has the ability to turn polynomials into polynomials of the same degree, we introduce an integral generalization by using Beta-type bases.
📊
Key Findings & Data:Some properties of this new sequence of operators are investigated in unweighted and weighted spaces of functions defined on unbounded interval.
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Conclusion & Impact:In our construction particular cases are outlined.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Korovkin theorem · modulus of smoothness · weighted space

Abstract

Starting from a discrete linear approximation process that has the ability to turn polynomials into polynomials of the same degree, we introduce an integral generalization by using Beta-type bases. Some properties of this new sequence of operators are investigated in unweighted and weighted spaces of functions defined on unbounded interval. In our construction particular cases are outlined.

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Cite This Article

AGRATİNİ, O. (2022). Linear positive operators constructed by using Beta-type bases. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 3, 1030–1038. https://ajindex.com/articles/529554

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