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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 51 Issue: 4

Approximation by statistical convergence with respect to power series methods

Nilay Şahin Bayram(BASKENT UNIVERSITY)0000-0003-3263-8589
Sevda Yıldız(SINOP UNIVERSITY)0000-0002-4730-2271
Sayfa
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Yayın Tarihi
2022-08-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In the final section we summarize these results to emphasize the importance of the study.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In the present work, using statistical convergence with respect to power series methods, we obtain various Korovkin-type approximation theorems for linear operators defined on derivatives of functions.
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Temel Bulgular & Veri:We study certain rate of convergence related to this method.
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Sonuç & Katkı:In the final section we summarize these results to emphasize the importance of the study.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Korovkin type approximation · statistical convergence with respect to power series method · rate of convergence

Abstract

In the present work, using statistical convergence with respect to power series methods, we obtain various Korovkin-type approximation theorems for linear operators defined on derivatives of functions. Then we give an example satisfying our approximation theorem. We study certain rate of convergence related to this method. In the final section we summarize these results to emphasize the importance of the study.

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Bu Makaleye Atıf Yap

Bayram, N. Ş., Yıldız, S. (2022). Approximation by statistical convergence with respect to power series methods. Hacettepe Journal of Mathematics and Statistics, Volume: 51 Issue: 4. https://doi.org/10.15672/hujms.1022072

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