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** Minkowski inequality
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Minkowski and inequality
Hölder's inequality is used to prove the Minkowski inequality, which is the triangle inequality in the space L < sup > p </ sup >( μ ), and also to establish that L < sup > q </ sup >( μ ) is the dual space of L < sup > p </ sup >( μ ) for 1 ≤ p < ∞.
In mathematical analysis, the Minkowski inequality establishes that the L < sup > p </ sup > spaces are normed vector spaces.
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