What are some estimations for the constants in the Marcinkiewicz–Zygmund inequality?
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The Marcinkiewicz-Zygmund inequality provides estimations for the constants in the inequality. The constants A and B in the inequality at the zeros of the Airy function are related to the constants appearing in the Marcinkiewicz-Zygmund inequalities at zeros of Hermite polynomials . In the multilinear setting, classical inequalities of Marcinkiewicz and Zygmund are extended to $\ell^r$-valued extensions of linear operators, and the best constant satisfying the inequality is calculated in some cases . The optimal constants in the Marcinkiewicz-Zygmund inequalities for symmetric summands are also given, improving the estimates in the Marcinkiewicz-Zygmund-Holder inequality .
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| Papers (5) | Insight |
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5 Citations | The paper provides the optimal constants A_p and B_p for the Marcinkiewicz-Zygmund inequality in the case of symmetric summands. |
1 Citations | The paper investigates the relationship between the offset between continuous and discrete quantities and the number and distribution of sample points on the q-sphere. |
Open access•Posted Content | The paper provides estimations for the constants in the Marcinkiewicz-Zygmund inequality in certain cases. |
28 Feb 2023 | The paper does not provide specific estimations for the constants in the Marcinkiewicz-Zygmund inequality. |
01 Jan 2020 | The paper does not provide specific estimations for the constants A and B in the Marcinkiewicz-Zygmund inequality. |
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