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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2021 / Volume: 70 Issue: 2

Approximation by truncated Lupaş operators of max-product kind

Mediha Örkcü(GAZI UNIVERSITY)0000-0002-0583-6005
Özge Dalmanoğlu(BASKENT UNIVERSITY)0000-0002-0322-7265
Fatma Büşra Hatipoğlu(GAZI UNIVERSITY)0000-0003-0605-0466
Pages
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Publication Date
2021-12-31
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

We also showed the piecewise convexity of the constructed operators on the interval [0,1].

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The goals of the present paper are to introduce truncated Lupaş type operators of max-product kind and give an estimation for the degree of approximation with respect to first modulus of continuity function.
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Key Findings & Data:We prove that this estimate can not be improved; on the other hand, for some subclasses of functions, better degree of approximation is obtained.
💡
Conclusion & Impact:We also showed the piecewise convexity of the constructed operators on the interval [0,1].
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Nonlinear max-product operators · Lupaş Operators · the first modulus of continuity function

Abstract

The goals of the present paper are to introduce truncated Lupaş type operators of max-product kind and give an estimation for the degree of approximation with respect to first modulus of continuity function. We prove that this estimate can not be improved; on the other hand, for some subclasses of functions, better degree of approximation is obtained. We also showed the piecewise convexity of the constructed operators on the interval [0,1].

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Cite This Article

Örkcü, M., Dalmanoğlu, Ö., Hatipoğlu, F. B. (2021). Approximation by truncated Lupaş operators of max-product kind. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 70 Issue: 2. https://doi.org/10.31801/cfsuasmas.898098

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