Orthogonal functions: Difference between revisions

Content deleted Content added
m Polynomials: lk Weight function
Line 15:
==Polynomials==
{{main article|Orthogonal polynomials}}
If one begins with the [[mononomialmonomial]] sequence {1, ''x'', ''x''<sup>2</sup>, ... ''x''<sup>n</sup> ...} on [–1, 1] and applies the [[Gram-Schmidt process]], then one obtains the [[Legendre polynomial]]s. Another collection of orthogonal polynomials are the [[associated Legendre polynomials]].
 
The study of orthogonal polynomials involves [[weight function]]s ''w''(''x'') which are inserted in the bilinear form: