DLMF:1.8.E6 (Q260)

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DLMF:1.8.E6
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    Statements

    Defining formula
    ∑ n = - ∞ ∞ | c n | 2 ≤ 1 2 ⁢ π ⁢ ∫ - π π | f ⁢ ( x ) | 2 ⁢ d x . subscript superscript 𝑛 superscript subscript 𝑐 𝑛 2 1 2 𝜋 subscript superscript 𝜋 𝜋 superscript 𝑓 𝑥 2 𝑥 {\displaystyle{\displaystyle\sum^{\infty}_{n=-\infty}|c_{n}|^{2}\leq\frac{1}{2% \pi}\int^{\pi}_{-\pi}|f(x)|^{2}\mathrm{d}x.}}
    0 references
    DLMF id
    DLMF:1.8.E6
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2acdec
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    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1acdec
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