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Journals / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 2

INEQUALITIES FOR ONE SIDED APPROXIMATION IN ORLICZ SPACES

Ramazan AKGÜN
Pages
231–240
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

Also, the main one-sided approximation problems are investigated.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present article some inequalities of trigonometric approximation are proved in Orlicz spaces generated by a quasiconvex Young function.
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Key Findings & Data:In the present article some inequalities of trigonometric approximation are proved in Orlicz spaces generated by a quasiconvex Young function.
💡
Conclusion & Impact:Also, the main one-sided approximation problems are investigated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fractional moduli of smoothness · Direct theorem · Converse theorem

Abstract

In the present article some inequalities of trigonometric approximation are proved in Orlicz spaces generated by a quasiconvex Young function. Also, the main one-sided approximation problems are investigated.

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Cite This Article

AKGÜN, R. (2022). INEQUALITIES FOR ONE SIDED APPROXIMATION IN ORLICZ SPACES. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 2, 231–240. https://ajindex.com/articles/530630

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References (2)

  1. Akg¨un, R. Approximating polynomials for functions of weighted Smirnov-Orlicz spaces, J. Funct. Spaces Appl., to appear. Akg¨un R. and Israfilov D. M. Simultaneous and converse approximation theorems in weighted Orlicz space, Bull. Belg. Math. Soc. Simon Stevin 17, 13–28, 2010. Akg¨un R. and Israfilov D. M. Approximation in weighted Orlicz spaces, Math. Slovaca, to appear. Doronin V. G. and Ligun A. A. Best one-sided approximation of the classes WrV(r > −1) by trigonometric polynomials in the Lmetric, Mat. Zametki 22 (3) (in Russian), 357–370, 1977. Israfilov D. M. and Guven A. Approximation by trigonometric polynomials in weighted Orlicz spaces, Studia Math. 174 (2), 147–168, 2006.
  2. Samko S. G., Kilbas A. A. and Marichev O. I. Fractional Integrals and Derivatives, Theory and Applications(Gordon and Breach Science Publishers, Yverdon, 1993). Zygmund A. Trigonometric Series (Cambridge University Press, New York, 1959).