Some Approximation Properties of $\alpha$-Stancu-Chlodowsky Operators
Fundamental journal of mathematics and applications (Online), cilt.9, sa.1, ss.50-62, 2026 (TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 9 Sayı: 1
- Basım Tarihi: 2026
- Doi Numarası: 10.33401/fujma.1857068
- Dergi Adı: Fundamental journal of mathematics and applications (Online)
- Derginin Tarandığı İndeksler: Applied Science & Technology Source, Central & Eastern European Academic Source (CEEAS), Directory of Open Access Journals, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.50-62
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
In the present paper, we construct Stancu variant of $\alpha$-Chlodowsky operators based on a parameter $0\leq\alpha\leq1$. We calculate some needed moment estimates. Next, we investigate direct results of the proposed operators. Also, we derive the order of convergence in terms of the weighted modulus of continuity and in order to check the asymptotic behavior of proposed operators we present Voronovskaya's type approximation theorem. Finally, we provide various illustrations and numerical example to demonstrate the convergence performance, accuracy and significance of the constructed operators.