A unified approach to inequalities for K-functionals and moduli of smoothness
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916144155197440 |
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| author | Gogatishvili, Amiran Opic, Bohumir Tikhonov, Sergey Trebels, Walter |
| author_facet | Gogatishvili, Amiran Opic, Bohumir Tikhonov, Sergey Trebels, Walter |
| contents | The paper provides a detailed study of crucial inequalities for smoothness and interpolation characteristics in rearrangement invariant Banach function spaces. We present a unified approach based on Holmstedt formulas to obtain these estimates. As examples, we derive new inequalities for moduli of smoothness and K-functionals in various Lorentz spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_05124 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A unified approach to inequalities for K-functionals and moduli of smoothness Gogatishvili, Amiran Opic, Bohumir Tikhonov, Sergey Trebels, Walter Functional Analysis 41A17, 46B70, 46E30, 46E35 The paper provides a detailed study of crucial inequalities for smoothness and interpolation characteristics in rearrangement invariant Banach function spaces. We present a unified approach based on Holmstedt formulas to obtain these estimates. As examples, we derive new inequalities for moduli of smoothness and K-functionals in various Lorentz spaces. |
| title | A unified approach to inequalities for K-functionals and moduli of smoothness |
| topic | Functional Analysis 41A17, 46B70, 46E30, 46E35 |
| url | https://arxiv.org/abs/2307.05124 |