New 2D continuous symmetric Christoffel-Darboux formula for Chebyshev orthonormal polynomials of the second kind

Abstract:

In this paper, we propose a new two-dimensional continuous symmetric Christoffel-Darboux formula for orthonormal classical Chebyshev polynomials of the second kind. This continuous two-dimensional function of two real variables is most directly applied to approximation problems and synthesis of filter functions. The examples of the proposed two-dimensional Christoffel-Darboux formula are illustrated.