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)
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
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
Pdf İndir
Atıf Sayıları
Web of Science 5
Scopus 4
Approximation Results on an Infinite Interval Based on Power Series Statistical Sense

Paylaş

İletişim
  • Korucuk Mahallesi Selanik Caddesi No:21
  • unis@sinop.edu.tr 0 368 271 57 57
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