Abstract
This paper extends the approximation inequalities for the modulus of smoothness to Morrey–Banach spaces. The estimates of the modulus of smoothness are controlled by the derivatives and the approximation by the trigonometric polynomials. As special cases of the main result, we have the approximation inequalities for the modulus of smoothness for the Morrey spaces with variables exponents. Copyright © 2024 The Author(s), under exclusive licence to Springer Nature Switzerland AG.
| Original language | English |
|---|---|
| Article number | 16 |
| Journal | Mediterranean Journal of Mathematics |
| Volume | 22 |
| Early online date | Dec 2024 |
| DOIs | |
| Publication status | Published - 2025 |
Citation
Ho, K.-P. (2025). Modulus of smoothness and approximation in Morrey–Banach spaces. Mediterranean Journal of Mathematics, 22, Article 16. https://doi.org/10.1007/s00009-024-02784-0Keywords
- Best approximation
- Modulus of smoothness
- Trigonometric polynomials
- Morrey space
- Banach function space