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Journals / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 5

Averaged modulus of smoothness and two-sided monotone approximation in Orlicz spaces

Ramazan AKGÜN
Hüseyin KOÇ
Pages
1108–1119
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

In the last section, some inequalities concerning monotone two sided approximation by trigonometric polynomials in $L^*_\varphi$ are considered.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The paper deals with basic properties of averaged modulus of smoothness in Orlicz spaces $L^*_\varphi$.
📊
Key Findings & Data:Some direct and inverse two-sided approximation problems in $L^*_\varphi$ are proved.
💡
Conclusion & Impact:In the last section, some inequalities concerning monotone two sided approximation by trigonometric polynomials in $L^*_\varphi$ are considered.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Orlicz spaces · Averaged modulus of smoothness

Abstract

The paper deals with basic properties of averaged modulus of smoothness in Orlicz spaces $L^*_\varphi$. Some direct and inverse two-sided approximation problems in $L^*_\varphi$ are proved. In the last section, some inequalities concerning monotone two sided approximation by trigonometric polynomials in $L^*_\varphi$ are considered.

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Cite This Article

AKGÜN, R., KOÇ, H. (2022). Averaged modulus of smoothness and two-sided monotone approximation in Orlicz spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 5, 1108–1119. https://ajindex.com/articles/529833

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