DLMF:1.7.E3 (Q244): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10757 / rank
 
Normal rank
Property / Symbols used: Q10757 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q10757 / qualifier
 
xml-id: C1.S1.XMD7.m1bdec

Revision as of 16:02, 1 January 2020

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English
DLMF:1.7.E3
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    Statements

    Defining formula
    ( ∑ j = 1 n ( a j + b j ) p ) 1 / p ≤ ( ∑ j = 1 n a j p ) 1 / p + ( ∑ j = 1 n b j p ) 1 / p . superscript subscript superscript 𝑛 𝑗 1 superscript subscript 𝑎 𝑗 subscript 𝑏 𝑗 𝑝 1 𝑝 superscript subscript superscript 𝑛 𝑗 1 superscript subscript 𝑎 𝑗 𝑝 1 𝑝 superscript subscript superscript 𝑛 𝑗 1 superscript subscript 𝑏 𝑗 𝑝 1 𝑝 {\displaystyle{\displaystyle\left(\sum^{n}_{j=1}(a_{j}+b_{j})^{p}\right)^{1/p}% \leq\left(\sum^{n}_{j=1}a_{j}^{p}\right)^{1/p}+\left(\sum^{n}_{j=1}b_{j}^{p}% \right)^{1/p}.}}
    0 references
    DLMF id
    DLMF:1.7.E3
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q10763
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C1.S1.XMD3.m1bdec
    0 references
    Q10757
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1bdec
    0 references
     
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