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Dergiler / 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
Sayfa
1108–1119
Yayın Tarihi
2022-10-18
DOI
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In the last section, some inequalities concerning monotone two sided approximation by trigonometric polynomials in $L^*_\varphi$ are considered.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The paper deals with basic properties of averaged modulus of smoothness in Orlicz spaces $L^*_\varphi$.
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Temel Bulgular & Veri:Some direct and inverse two-sided approximation problems in $L^*_\varphi$ are proved.
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Sonuç & Katkı:In the last section, some inequalities concerning monotone two sided approximation by trigonometric polynomials in $L^*_\varphi$ are considered.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (17)

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