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Journals / Fundamentals of Contemporary Mathematical Sciences / 2024 / Volume: 5 Issue: 2

On Some Positive Linear Operators Preserving the B^{-1}-Convexity of Functions

Mustafa Uzun(ESKİŞEHİR TEKNİK ÜNİVERSİTESİ)0000-0003-4661-7244
Tuncay Tunç(MERSİN ÜNİVERSİTESİ)0000-0002-3061-7197
Pages
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Publication Date
2024-07-31
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AI Summary & Key Takeaways

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

In addition, we compare the concepts B^{-1}-convexity and B-concavity of functions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the study, we first give an inequality that non-negative differentiable functions must satisfy to be B^{-1}-convex.
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Key Findings & Data:Then, using the inequality, we show that the B^{-1}-convexity property of functions is preserved by Bernstein-Stancu operators, Sz'asz-Mirakjan operators and Baskakov operators.
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Conclusion & Impact:In addition, we compare the concepts B^{-1}-convexity and B-concavity of functions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:B−1 -convexity · Bernstein-Stancu operators · Sz´asz-Mirakjan operators

Abstract

In the study, we first give an inequality that non-negative differentiable functions must satisfy to be B^{-1}-convex. Then, using the inequality, we show that the B^{-1}-convexity property of functions is preserved by Bernstein-Stancu operators, Sz'asz-Mirakjan operators and Baskakov operators. In addition, we compare the concepts B^{-1}-convexity and B-concavity of functions.

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Cite This Article

Uzun, M., Tunç, T. (2024). On Some Positive Linear Operators Preserving the B^{-1}-Convexity of Functions. Fundamentals of Contemporary Mathematical Sciences, Volume: 5 Issue: 2. https://doi.org/10.54974/fcmathsci.1393349

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