DLMF:1.7.E5 (Q246): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
Defining formula:

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

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1aadec

Revision as of 16:02, 1 January 2020

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DLMF:1.7.E5
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    Statements

    a b f ( x ) g ( x ) d x ( a b ( f ( x ) ) p d x ) 1 / p ( a b ( g ( x ) ) q d x ) 1 / q . superscript subscript 𝑎 𝑏 𝑓 𝑥 𝑔 𝑥 𝑥 superscript superscript subscript 𝑎 𝑏 superscript 𝑓 𝑥 𝑝 𝑥 1 𝑝 superscript superscript subscript 𝑎 𝑏 superscript 𝑔 𝑥 𝑞 𝑥 1 𝑞 {\displaystyle{\displaystyle\int_{a}^{b}f(x)g(x)\mathrm{d}x\leq\left(\int_{a}^% {b}(f(x))^{p}\mathrm{d}x\right)^{1/p}\left(\int_{a}^{b}(g(x))^{q}\mathrm{d}x% \right)^{1/q}.}}
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    DLMF:1.7.E5
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1aadec
    0 references