Generalized Averaged Gaussian Formulas for Certain Weight Functions
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Authors: R. M. MUTAVDžIć
DOI: 10.46793/KgJMat2202.295M
Abstract:
In this paper we analyze the generalized averaged Gaussian quadrature formulas and the simplest truncated variant for one of them for some weight functions on the interval [0, 1] considered by Milovanović in [?]. We shall investigate internality of these formulas for the equivalents of the Jacobi polynomials on this interval and, in some special cases, show the existence of the Gauss-Kronrod quadrature formula. We also include some examples showing the corresponding error estimates for some non-classical orthogonal polynomials.
Keywords:
Gauss quadrature, Gauss-Kronrod quadrature, averaged Gaussian formulas, truncations of averaged Gaussian formulas.
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