Approximation Results on an Infinite Interval Based on Power Series Statistical Sense
Yazarlar (3)
Doç. Dr. Sevda YILDIZ Sinop Üniversitesi, Türkiye
Prof. Dr. Kamil DEMİRCİ Sinop Üniversitesi, Türkiye
Prof. Dr. Fadime DİRİK Sinop Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(ESCI dergilerinde yayınlanan tam makale)
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| Dergi Adı | Dolomites Research Notes on Approximation | ||
| Dergi ISSN | 2035-6803 Dergi Bilgileri (2025) | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | Türkçe | Basım Tarihi | 03-2025 |
| Cilt / Sayı / Sayfa | 18 / 2 / 17–24 | DOI | 10.25430/pupj-DRNA-2025-2-4 |
| Makale Linki | https://drna.padovauniversitypress.it/2025/2/4 | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| This paper introduces a new approximation theorem, type of Korovkin, for positive linear operators (pLO) defined on the Banach space C∗[0,∞) comprising all real-valued continuous functions on [0,∞) that converge to a finite limit as their argument approaches infinity. By applying statistical convergence with respect to power series methods and employing the test functions 1, exp (− u) and exp (− 2u), we derive a novel approximation result. Our findings demonstrate that the proposed method outperforms classical and statistical approaches, as illustrated by a concrete example. Furthermore, we explore the rate of convergence associated with this new approximation theorem. |
| Anahtar Kelimeler |
| Korovkin type theorem | power series method | rate of convergence | Statistical convergence |