(Q117372168)

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Hölder's inequality for integrals

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Statements

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defining formula

\int _{a}^{b}f(x)g(x)\,\mathrm {d} x\leq \left(\int _{a}^{b}(f(x))^{p}\right)^{1/p}\left(\int _{a}^{b}(g(x))^{q}\right)^{1/q}

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in defining formula

f

symbol represents

non-negative function

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g

symbol represents

non-negative function

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p

symbol represents

conjugate index

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q

symbol represents

conjugate index

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maintained by WikiProject

WikiProject Mathematics

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Identifiers

Digital Library of Mathematical Functions ID

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