Quasi-orthogonality with applications to some families of classical orthogonal polynomials
Applied Numerical Mathematics
Interlacing theorems for the zeros of some orthogonal polynomials from different sequences
Applied Numerical Mathematics
Applied Numerical Mathematics
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In this paper, we study the quasi-orthogonality of polynomials and their associated polynomials. First we give a connection between these quasi-orthogonal polynomials and linear algebra. Then we use this connection to generalize some results about the location of their zeros and we also give new results. These generalizations and the new results are obtained by a different approach and without using results such as the Christoffel-Darboux's formula.