DLMF:1.7.E4 (Q245): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
test:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1adec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
test:

∫ {\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3adec

Latest revision as of 15:02, 1 January 2020

No description defined
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English
DLMF:1.7.E4
No description defined

    Statements

    test
    ( ∫ a b f ⁢ ( x ) ⁢ g ⁢ ( x ) ⁢ d x ) 2 ≤ ∫ a b ( f ⁢ ( x ) ) 2 ⁢ d x ⁢ ∫ a b ( g ⁢ ( x ) ) 2 ⁢ d x . superscript superscript subscript 𝑎 𝑏 𝑓 𝑥 𝑔 𝑥 𝑥 2 superscript subscript 𝑎 𝑏 superscript 𝑓 𝑥 2 𝑥 superscript subscript 𝑎 𝑏 superscript 𝑔 𝑥 2 𝑥 {\displaystyle{\displaystyle\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.}}
    0 references
    DLMF id
    DLMF:1.7.E4
    0 references
    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
    Q10771
    test
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3adec
    0 references
     
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