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Dergiler / 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
Sayfa
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Yayın Tarihi
2024-07-31
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the study, we first give an inequality that non-negative differentiable functions must satisfy to be B^{-1}-convex.
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Temel Bulgular & Veri: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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Sonuç & Katkı:In addition, we compare the concepts B^{-1}-convexity and B-concavity of functions.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (13)

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