Inequalities for mixed means

Khrabrov, A.

doi:10.1090/spmj/1842

Inequalities for mixed means
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by A. I. Khrabrov;
Translated by: S. V. Kislyakov

St. Petersburg Math. J. 35 (2024), 1021-1036

DOI: https://doi.org/10.1090/spmj/1842

Published electronically: January 10, 2025

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Abstract:

The relation $\mathcal {M}_p\circ \mathcal {M}_q(x)\leq \mathcal {M}_q\circ \mathcal {M}_p(x)$ between mixed power means for absolutely continuous measures (with respect to Lebesgue measure) is proved along with several other inequalities for mixed means. Equality cases and discrete analogs are studied.

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