ASYMPTOTIC-BEHAVIOR OF ORTHOGONAL POLYNOMIALS RELATIVE TO MEASURES WITH MASS POINTS

General expressions are found for the orthonormal polynomials and the kernels relative to measures on the real line of the form mu + Mdelta( c), in terms of those of the measures dmu and (x - c)2dmu. In particul ar, these relations allow us to show that Nevai's class M(0, 1) is clo sed under adding a mass point, as well as obtain several bounds for th e polynomials and kernels relative to a generalized Jacobi weight with a finite number of mass points.