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Journals / Constructive Mathematical Analysis / 2018 / Cilt: 1 - Sayı: 1

Approximation by Baskakov-Szász-Stancu Operators Preserving Exponential Functions

Murat BODUR
Övgü GÜREL YILMAZ
Ali ARAL
Pages
1–8
Publication Date
2018-09-15
DOI
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AI Summary & Key Takeaways

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

Finally, we discuss the convergence of corresponding sequences in exponential weighted spaces and make a comparison about which one approximates better between classical Baskakov-Szász-Stancu operators and the recent operators.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The purpose of this paper is to construct a general class of operators which has known Baskakov-Szász-Stancu that preserving constant and $e^{2ax}, a>0$ functions.
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Key Findings & Data:We scrutinize a uniform convergence result and analyze the asymptotic behavior of our operators, as well.
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Conclusion & Impact:Finally, we discuss the convergence of corresponding sequences in exponential weighted spaces and make a comparison about which one approximates better between classical Baskakov-Szász-Stancu operators and the recent operators.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Exponential functions · Quantitative results · Weighted approximation

Abstract

The purpose of this paper is to construct a general class of operators which has known Baskakov-Szász-Stancu that preserving constant and $e^{2ax}, a>0$ functions. We scrutinize a uniform convergence result and analyze the asymptotic behavior of our operators, as well. Finally, we discuss the convergence of corresponding sequences in exponential weighted spaces and make a comparison about which one approximates better between classical Baskakov-Szász-Stancu operators and the recent operators.

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Cite This Article

BODUR, M., YILMAZ, Ö. G., ARAL, A. (2018). Approximation by Baskakov-Szász-Stancu Operators Preserving Exponential Functions. Constructive Mathematical Analysis, Cilt: 1 - Sayı: 1, 1–8. https://ajindex.com/articles/748951

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