DLMF:3.4.E4 (Q1183)

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DLMF:3.4.E4
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    Statements

    Defining formula
    h ⁢ | R n , t ′ | ≤ h n + 1 ⁢ ( c n ⁢ | f ( n + 2 ) ⁢ ( ξ 1 ) | + 1 n + 1 ⁢ | f ( n + 1 ) ⁢ ( ξ 0 ) | ) , ℎ subscript superscript 𝑅 ′ 𝑛 𝑡 superscript ℎ 𝑛 1 subscript 𝑐 𝑛 superscript 𝑓 𝑛 2 subscript 𝜉 1 1 𝑛 1 superscript 𝑓 𝑛 1 subscript 𝜉 0 {\displaystyle{\displaystyle h\left|R^{\prime}_{n,t}\right|\leq h^{n+1}\left(c% _{n}\left|f^{(n+2)}(\xi_{1})\right|+\frac{1}{n+1}\left|f^{(n+1)}(\xi_{0})% \right|\right),}}
    0 references
    DLMF id
    DLMF:3.4.E4
    0 references
    constraint
    n 0 < t < n 1 subscript 𝑛 0 𝑡 subscript 𝑛 1 {\displaystyle{\displaystyle n_{0}<t<n_{1}}}
    0 references
    Symbols used
    product (locally)
    Defining formula
    c n subscript 𝑐 𝑛 {\displaystyle{\displaystyle c_{n}}}
    xml-id
    C3.S3.XMD11.m1dec
    0 references
    remainder (locally)
    Defining formula
    R n , t ′ ⁢ ( x ) subscript superscript 𝑅 ′ 𝑛 𝑡 𝑥 {\displaystyle{\displaystyle R^{\prime}_{n,t}(x)}}
    xml-id
    C3.S4.XMD2.m1bdec
    0 references
     
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