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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 53 Issue: 1

Near best approximation property of interpolation and Poisson polynomials in weighted variable exponent Smirnov classes

Ahmet Testici(BALIKESIR UNIVERSITY)0000-0002-1163-7037
Daniyal M. İsrafilzade(BALIKESIR UNIVERSITY)0000-0002-1733-4635
Pages
—
Publication Date
2024-02-29
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AI Summary & Key Takeaways

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

In this work under some restrictions of ${G}$ the near best approximation property of complex interpolation and Poisson polynomials based on the Faber polynomials of $\overline{{G}}$ in the weighted variable exponent Smirnov classes ${E}_{\omega }^{p(\cdot )}{(G)}$ are proved.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let $G$ be a bounded Jordan domain in the complex plane $\mathbb{C}$.
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Key Findings & Data:Let $G$ be a bounded Jordan domain in the complex plane $\mathbb{C}$.
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Conclusion & Impact:In this work under some restrictions of ${G}$ the near best approximation property of complex interpolation and Poisson polynomials based on the Faber polynomials of $\overline{{G}}$ in the weighted variable exponent Smirnov classes ${E}_{\omega }^{p(\cdot )}{(G)}$ are proved.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:interpolating polynomials · Faber polynomials · weighted variable exponent Smirnov classes

Abstract

Let $G$ be a bounded Jordan domain in the complex plane $\mathbb{C}$. In this work under some restrictions of ${G}$ the near best approximation property of complex interpolation and Poisson polynomials based on the Faber polynomials of $\overline{{G}}$ in the weighted variable exponent Smirnov classes ${E}_{\omega }^{p(\cdot )}{(G)}$ are proved.

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Cite This Article

Testici, A., İsrafilzade, D. M. (2024). Near best approximation property of interpolation and Poisson polynomials in weighted variable exponent Smirnov classes. Hacettepe Journal of Mathematics and Statistics, Volume: 53 Issue: 1. https://doi.org/10.15672/hujms.1176919

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