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Journals / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 5

APPROXIMATION BY INTERPOLATING POLYNOMIALS IN WEIGHTED SYMMETRIC SMIRNOV SPACES

Ramazan AKGÜN
Hüseyin KOÇ
Pages
643–649
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

It is proved that the convergence rate of complex interpolating polynomials and the convergence rate of best approximating algebraic polynomials are the same in the norm of Symmetric Smirnov Spaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let Γ ⊂ C be a closed BR curve without cusps.
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Key Findings & Data:In this work approximation by complex interpolating polynomials in a Weighted Symmetric Smirnov Space is studied.
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Conclusion & Impact:It is proved that the convergence rate of complex interpolating polynomials and the convergence rate of best approximating algebraic polynomials are the same in the norm of Symmetric Smirnov Spaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Curve of bounded rotation · Faber polynomials · Interpolating polynomial

Abstract

Let Γ ⊂ C be a closed BR curve without cusps. In this work approximation by complex interpolating polynomials in a Weighted Symmetric Smirnov Space is studied. It is proved that the convergence rate of complex interpolating polynomials and the convergence rate of best approximating algebraic polynomials are the same in the norm of Symmetric Smirnov Spaces.

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Cite This Article

AKGÜN, R., KOÇ, H. (2022). APPROXIMATION BY INTERPOLATING POLYNOMIALS IN WEIGHTED SYMMETRIC SMIRNOV SPACES. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 5, 643–649. https://ajindex.com/articles/530489

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