Turán's inequalities
In mathematics, Turán's inequalities are some inequalities for Legendre polynomials found by . There are many generalizations to other polynomials, often called Turán's inequalities, given by and other authors.
If is the th Legendre polynomial, Turán's inequalities state that
For Hn, the nth Hermite polynomial, Turán's inequalities are
whilst for Chebyshev polynomials they are
