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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 39 Issue: 2

Direct local and global approximation results for Operators of Gamma Type

Harun Karsli
Ali Özarslan
Pages
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Publication Date
2010-02-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Furthermore, a Voronoskaya type theorem is given for these operators.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper some direct local and global approximation results are obtained for the modified Gamma operators defined by A.
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Key Findings & Data:Izgi and B¨uy¨ukyazıcı (Approximation and rate of approximation on unbounded intervals, Kastamonu Edu.
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Conclusion & Impact:Furthermore, a Voronoskaya type theorem is given for these operators.
🔬Design:Modeling & Simulation
📍Scope:2003 Verileri
⚙️Variables:Gamma operators · Positive linear operators · Local and global approximation

Abstract

In this paper some direct local and global approximation results are obtained for the modified Gamma operators defined by A. Izgi and B¨uy¨ukyazıcı (Approximation and rate of approximation on unbounded intervals, Kastamonu Edu. J. Okt. 11 (2), 451–460, 2003 (in Turkish)), and independently by H. Karsli (Rate of convergence of a new Gamma Type Operator for functions with derivatives of bounded variation, Math. Comput. Modelling 45 (5-6), 617–624, 2007). Furthermore, a Voronoskaya type theorem is given for these operators.

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Cite This Article

Karsli, H., Özarslan, A. (2010). Direct local and global approximation results for Operators of Gamma Type. Hacettepe Journal of Mathematics and Statistics, Volume: 39 Issue: 2. https://ajindex.com/articles/1403710

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