DLMF:24.9.E2 (Q7498): Difference between revisions

From DRMF
Jump to navigation Jump to search
Changed an Item: Add constraint
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q12110 / rank
 
Normal rank
Property / Symbols used: Q12110 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12110 / qualifier
 
xml-id: C24.S1.XMD5.m1adec

Revision as of 01:38, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:24.9.E2
No description defined

    Statements

    ( 2 - 2 1 - 2 n ) | B 2 n | | B 2 n ( x ) - B 2 n | , 2 superscript 2 1 2 𝑛 Bernoulli-number-B 2 𝑛 Bernoulli-polynomial-B 2 𝑛 𝑥 Bernoulli-number-B 2 𝑛 {\displaystyle{\displaystyle(2-2^{1-2n})|B_{2n}|\geq|B_{2n}\left(x\right)-B_{2% n}|,}}
    0 references
    DLMF:24.9.E2
    0 references
    1 x 0 1 𝑥 0 {\displaystyle{\displaystyle 1\geq x\geq 0}}
    0 references
    B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}
    C24.S2.SS1.m1aadec
    0 references
    B n ( x ) Bernoulli-polynomial-B 𝑛 𝑥 {\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{x}\right)}}
    C24.S2.SS1.m2aadec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C24.S1.XMD5.m1adec
    0 references