Turán's inequalities

From formulasearchengine
Jump to navigation Jump to search

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 Pn is the nth Legendre polynomial, Turán's inequalities state that

For Hn, the nth Hermite polynomial, Turán's inequality is

and for Chebyshev polynomials it is

See also

References

  • {{#invoke:citation/CS1|citation

|CitationClass=citation }}

  • {{#invoke:citation/CS1|citation

|CitationClass=citation }}

  • {{#invoke:citation/CS1|citation

|CitationClass=citation }}