Minkowski inequality

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In mathematical analysis, the Minkowski inequality establishes that the L p {\displaystyle L^{p}} spaces satisfy the triangle inequality in the definition of normed vector spaces. The inequality is named after the German mathematician Hermann Minkowski. Let S {\textstyle S} be a measure space, let 1 ≤ p ≤ ∞ {\textstyle 1\leq p\leq \infty } and let f {\textstyle f} and g {\textstyle g} be elements of L p ( S ) . {\textstyle L^{p}(S).} Then f + g {\textstyle f+g} is in...

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