Formula:6192

Digital Library of Mathematical Functions ID 18.2.E6

${\displaystyle{\displaystyle\tilde{h}_{n}=\int_{a}^{b}x\left(p_{n}(x)\right)^{2}w(x)\mathrm{d}x\text{ or }\sum_{x\in X}x\left(p_{n}(x)\right)^{2}w_{x},}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\in}}$:
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle w(x)}}$: weight function
• ${\displaystyle{\displaystyle w_{x}}}$: weights
• ${\displaystyle{\displaystyle X}}$: subset of R
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle p_{n}(x)}}$: polynomial of degree n
• ${\displaystyle{\displaystyle x}}$: real variable
 

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