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

Authors: E. Karoussos, Ć. B.Dolićanin, V. D. Pavlović, J. R. Djordjević-Kozarov

Keywords: Christoffel-Darboux formula; Chebyshev polynomials of the first kind; two­dimensional functions; classical orthogonal functions

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Abstract:

In this paper, anew two-dimensional continuous symmetric Christoffel-Darboux formula for orthonormal classical Chebyshev polynomials of the first kind is proposed. 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.