We establish exact bounds for the positive and negative exponents of summability of the power mean of a function in the case where this mean satisfies the reverse Jensen inequality.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 5, pp. 628–635, May, 2012.
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Korenovskii, A.A. Reverse inequalities for geometric and power means. Ukr Math J 64, 711–720 (2012). https://doi.org/10.1007/s11253-012-0673-6
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DOI: https://doi.org/10.1007/s11253-012-0673-6