DLMF:1.7.E10 (Q251): Difference between revisions

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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.m3acdec
Property / Symbols used
 
Property / Symbols used: Q10809 / rank
 
Normal rank
Property / Symbols used: Q10809 / qualifier
 
test:

ϕ ⁢ ( x ) italic-ϕ 𝑥 {\displaystyle{\displaystyle\phi(x)}}

\phi(x)
Property / Symbols used: Q10809 / qualifier
 
xml-id: C1.S7.XMD11.m1dec

Latest revision as of 15:03, 1 January 2020

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DLMF:1.7.E10
No description defined

    Statements

    test
    ϕ ⁢ ( ∫ 0 1 f ⁢ ( x ) ⁢ d x ) ≤ ∫ 0 1 ϕ ⁢ ( f ⁢ ( x ) ) ⁢ d x , italic-ϕ subscript superscript 1 0 𝑓 𝑥 𝑥 subscript superscript 1 0 italic-ϕ 𝑓 𝑥 𝑥 {\displaystyle{\displaystyle\phi\left(\int^{1}_{0}f(x)\mathrm{d}x\right)\leq% \int^{1}_{0}\phi(f(x))\mathrm{d}x,}}
    0 references
    DLMF id
    DLMF:1.7.E10
    0 references
    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1acdec
    0 references
    Q10771
    test
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3acdec
    0 references
    Q10809
    test
    ϕ ⁢ ( x ) italic-ϕ 𝑥 {\displaystyle{\displaystyle\phi(x)}}
    xml-id
    C1.S7.XMD11.m1dec
    0 references
     
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