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Dergiler / Gazi University Journal of Science / 2026 / Volume: 34 Issue: 3

On the Chlodowsky variant of Jakimovski-Leviatan-Păltănea Operators

Özge Dalmanoğlu(BAŞKENT ÜNİVERSİTESİ)0000-0002-0322-7265
Mediha Örkcü(GAZİ ÜNİVERSİTESİ)0000-0002-0583-6005
Sayfa
—
Yayın Tarihi
2021-09-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Lastly we determine the rate of convergence of the operators with the aid of the weighted modulus of continuity

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the present paper, our purpose is to generalize the Jakimovski-Leviatan-Păltănea operators in the sense of Chlodowsky.
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Temel Bulgular & Veri:After introducing the new operators we first obtain the moments of these operators in order to establish the convergency properties with the help of Korovkin's theorem.
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Sonuç & Katkı:Lastly we determine the rate of convergence of the operators with the aid of the weighted modulus of continuity
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Weighted modulus of continuity · Păltănea operators · Chlodowsky operators

Abstract

In the present paper, our purpose is to generalize the Jakimovski-Leviatan-Păltănea operators in the sense of Chlodowsky. After introducing the new operators we first obtain the moments of these operators in order to establish the convergency properties with the help of Korovkin's theorem. After that, we give the local approximation result and the Voronovskaya type theorem. We also examine the convergence properties of the operators in the weighted space of functions. Lastly we determine the rate of convergence of the operators with the aid of the weighted modulus of continuity

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Bu Makaleye Atıf Yap

Dalmanoğlu, Ö., Örkcü, M. (2021). On the Chlodowsky variant of Jakimovski-Leviatan-Păltănea Operators. Gazi University Journal of Science, Volume: 34 Issue: 3. https://doi.org/10.35378/gujs.794810

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Kaynakça (19)

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