(Q117355636)

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Cauchy-Schwarz inequality for integrals

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Schwarz's inequality
Buniakowsky inequality

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\left(\int _{a}^{b}f(x)g(x)\,\mathrm {d} x\right)^{2}\leq \int _{a}^{b}(f(x))^{2}\,\mathrm {d} x\int _{a}^{b}(g(x))^{2}\,\mathrm {d} x

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in defining formula

f

symbol represents

real-valued function

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g

symbol represents

real-valued function

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\int _{a}^{b}f(x)\,\mathrm {d} x

symbol represents

definite integral

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maintained by WikiProject

WikiProject Mathematics

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Identifiers

Digital Library of Mathematical Functions ID

1.7.E4

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ProofWiki ID

Cauchy-Bunyakovsky-Schwarz_Inequality/Definite_Integrals

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(Q117355636)

Cauchy-Schwarz inequality for integrals

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