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Journals / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 3

APPROXIMATION BY FEJ´ ER SUMS OF FOURIER TRIGONOMETRIC SERIES IN WEIGHTED ORLICZ SPACES

Sadulla Z. JAFAROV
Pages
259–268
Publication Date
2022-10-18
DOI
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In this work we investigate the approximation problems of the functionsby Fej´er sums of Fourier series in the reflexive weighted Orlicz spaceswith Muckenhoupt weights and of the functions by Fej´er sums of Faberseries in weighted Smirnov-Orlicz classes defined on simply connecteddomains with a Dini-smooth boundary of the complex plane.

📌 3 Key Takeaways

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Objective & Hypothesis:In this work we investigate the approximation problems of the functionsby Fej´er sums of Fourier series in the reflexive weighted Orlicz spaceswith Muckenhoupt weights and of the functions by Fej´er sums of Faberseries in weighted Smirnov-Orlicz classes defined on simply connecteddomains with a Dini-smooth boundary of the complex plane.
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Key Findings & Data:In this work we investigate the approximation problems of the functionsby Fej´er sums of Fourier series in the reflexive weighted Orlicz spaceswith Muckenhoupt weights and of the functions by Fej´er sums of Faberseries in weighted Smirnov-Orlicz classes defined on simply connecteddomains with a Dini-smooth boundary of the complex plane.
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Conclusion & Impact:In this work we investigate the approximation problems of the functionsby Fej´er sums of Fourier series in the reflexive weighted Orlicz spaceswith Muckenhoupt weights and of the functions by Fej´er sums of Faberseries in weighted Smirnov-Orlicz classes defined on simply connecteddomains with a Dini-smooth boundary of the complex plane.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this work we investigate the approximation problems of the functionsby Fej´er sums of Fourier series in the reflexive weighted Orlicz spaceswith Muckenhoupt weights and of the functions by Fej´er sums of Faberseries in weighted Smirnov-Orlicz classes defined on simply connecteddomains with a Dini-smooth boundary of the complex plane.

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Cite This Article

JAFAROV, S. Z. (2022). APPROXIMATION BY FEJ´ ER SUMS OF FOURIER TRIGONOMETRIC SERIES IN WEIGHTED ORLICZ SPACES. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 3, 259–268. https://ajindex.com/articles/530414

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