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Aleksandra Cizmesija Josip Pecaric Ivan Peric 《Proceedings of the American Mathematical Society》2000,128(9):2543-2552
Integral means of arbitrary order, with power weights and their companion means, where the integrals are taken over balls in centered at the origin, are introduced and related mixed-means inequalities are derived. These relations are then used in obtaining Hardy and Levin-Cochran-Lee inequalities and their companion results for -dimensional balls. Finally, the best possible constants for these inequalities are obtained.
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