2017
Том 69
№ 9

All Issues

Reverse inequalities for geometric and power means

Korenovskii A. A.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 5, pp 711-720.

Citation Example: Korenovskii A. A. Reverse inequalities for geometric and power means // Ukr. Mat. Zh. - 2012. - 64, № 5. - pp. 628-635.

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