DLMF:1.15.E23 (Q565)

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DLMF:1.15.E23
No description defined

    Statements

    Defining formula
    σ n ⁢ ( θ ) = 1 2 ⁢ π ⁢ ∫ 0 2 ⁢ π K n ⁢ ( θ - t ) ⁢ f ⁢ ( t ) ⁢ d t . subscript 𝜎 𝑛 𝜃 1 2 𝜋 subscript superscript 2 𝜋 0 subscript 𝐾 𝑛 𝜃 𝑡 𝑓 𝑡 𝑡 {\displaystyle{\displaystyle\sigma_{n}(\theta)=\frac{1}{2\pi}\int^{2\pi}_{0}K_% {n}(\theta-t)f(t)\mathrm{d}t.}}
    0 references
    DLMF id
    DLMF:1.15.E23
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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.m2addec
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    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1addec
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    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3addec
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    Q10757
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1sdec
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    Fejér kernel (locally)
    Defining formula
    K n ⁢ ( θ ) subscript 𝐾 𝑛 𝜃 {\displaystyle{\displaystyle K_{n}(\theta)}}
    xml-id
    C1.S15.XMD2.m1cdec
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    Cesàro mean (locally)
    Defining formula
    σ n ⁢ ( θ ) subscript 𝜎 𝑛 𝜃 {\displaystyle{\displaystyle\sigma_{n}(\theta)}}
    xml-id
    C1.S15.XMD5.m1adec
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