DLMF:3.11.E39 (Q1487)

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DLMF:3.11.E39
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    Statements

    Defining formula
    a k = 1 n ⁢ ∑ j = 0 n - 1 f j ⁢ ϕ k ⁢ ( x j ) ¯ , subscript 𝑎 𝑘 1 𝑛 superscript subscript 𝑗 0 𝑛 1 subscript 𝑓 𝑗 subscript italic-ϕ 𝑘 subscript 𝑥 𝑗 {\displaystyle{\displaystyle a_{k}=\frac{1}{n}\sum_{j=0}^{n-1}f_{j}\overline{% \phi_{k}(x_{j})},}}
    0 references
    DLMF id
    DLMF:3.11.E39
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    constraint
    k = 0 , 1 , … , n - 1 𝑘 0 1 … 𝑛 1 {\displaystyle{\displaystyle k=0,1,\dots,n-1}}
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    Symbols used
    complex conjugate
    Defining formula
    z ¯ 𝑧 {\displaystyle{\displaystyle\overline{\NVar{z}}}}
    xml-id
    C1.S9.E11.m2aadec
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    Q11215
    Defining formula
    ϕ k ⁢ ( x ) subscript italic-ϕ 𝑘 𝑥 {\displaystyle{\displaystyle\phi_{k}(x)}}
    xml-id
    C3.S11.XMD19.m1fdec
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