When is a quasi-definite moment functional with the monic orthogonal polynomial system , we consider a point masses perturbation of given by , where , and are constants with for . That is, is a generalized Uvarov transform of satisfying , where . We find necessary and sufficient conditions for to be quasi-definite. We also discuss various properties of monic orthogonal polynomial system relative to including two examples.
D. H. Kim. K. H. Kwon. "Quasi-definiteness of generalized Uvarov transforms of moment functionals." J. Appl. Math. 1 (2) 69 - 90, 5 August 2001. https://doi.org/10.1155/S1110757X01000225