Hölder's inequality

Inequality between integrals in Lp spaces

In mathematical analysis, Hölder's inequality, named after Otto Hölder, is a fundamental inequality between integrals and an indispensable tool for the study of Lp spaces. The numbers p and q above are said to be Hölder conjugates of each other. The special case p = q = 2 {\displaystyle p=q=2} gives a form of the Cauchy–Schwarz inequality.

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