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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 3

On approximation of hexagonal Fourier series in the generalized Hölder metric

Ali GUVEN
Pages
962–973
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

The approximation order of the function $f$ by deferred Cesaro means of its hexagonal Fourier series is estimated in uniform and generalized H\"{o}lder metrics.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let $f$ be an $H$-periodic continuous function.
📊
Key Findings & Data:Let $f$ be an $H$-periodic continuous function.
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Conclusion & Impact:The approximation order of the function $f$ by deferred Cesaro means of its hexagonal Fourier series is estimated in uniform and generalized H\"{o}lder metrics.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Deferred Cesàro means · generalized Hölder class · hexagonal Fourier series

Abstract

Let $f$ be an $H$-periodic continuous function. The approximation order of the function $f$ by deferred Cesaro means of its hexagonal Fourier series is estimated in uniform and generalized H\"{o}lder metrics.

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Cite This Article

GUVEN, A. (2022). On approximation of hexagonal Fourier series in the generalized Hölder metric. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 3, 962–973. https://ajindex.com/articles/529686

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