# Turán's inequalities

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In mathematics, **Turán's inequalities** are some inequalities for Legendre polynomials found by Template:Harvs (and first published by Template:Harvtxt). There are many generalizations to other polynomials, often called Turán's inequalities, given by Template:Harvs and other authors.

If *P*_{n} is the *n*th Legendre polynomial, Turán's inequalities state that

For *H*_{n}, the *n*th Hermite polynomial, Turán's inequality is

and for Chebyshev polynomials it is

## See also

## References

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