The Christoffel-Darboux identity gives the Christoffel-Darboux kernel for a family with general normalization, for 
as
 |
where 
are orthogonal polynomials with weighting
function 
on ![[a,b]](/images/equations/Christoffel-DarbouxIdentity/Inline4.svg)
such that
![gamma_m=int_a^b[phi_m(x)]^2W(x)dx,](/images/equations/Christoffel-DarbouxIdentity/NumberedEquation2.svg) |
and 
,
where 
is the leading coefficient of 
in 
.
