Stability of Khintchine inequalities with optimal constants between the second and the $p$-th moment for $p \ge 3$
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910910321262592 |
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| author | Jakimiuk, Jacek |
| author_facet | Jakimiuk, Jacek |
| contents | We give a strengthening of the classical Khintchine inequality between the second and the $p$-th moment for $p \ge 3$ with optimal constant by adding a deficit depending on the vector of coefficients of the Rademacher sum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_07001 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability of Khintchine inequalities with optimal constants between the second and the $p$-th moment for $p \ge 3$ Jakimiuk, Jacek Probability 60E15 (Primary) 26A51, 26D15, 60G50 (Secondary) We give a strengthening of the classical Khintchine inequality between the second and the $p$-th moment for $p \ge 3$ with optimal constant by adding a deficit depending on the vector of coefficients of the Rademacher sum. |
| title | Stability of Khintchine inequalities with optimal constants between the second and the $p$-th moment for $p \ge 3$ |
| topic | Probability 60E15 (Primary) 26A51, 26D15, 60G50 (Secondary) |
| url | https://arxiv.org/abs/2503.07001 |