Journal
APPLIED NUMERICAL MATHEMATICS
Volume 142, Issue -, Pages 190-205Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.apnum.2019.03.008
Keywords
Gauss quadrature; Averaged Gauss quadrature; Truncated generalized averaged Gauss quadrature; Internality of quadrature; Measures induced by Chebyshev polynomials
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Funding
- Serbian Ministry of Education, Science and Technological Development [174002]
- NSF [DMS-1720259, DMS-1729509]
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Generalized averaged Gaussian quadrature rules and truncated variants associated with a nonnegative measure with support on a real open interval {t : a < t < b} may have nodes outside this interval, in other words the rules may fail to be internal. Such rules cannot be applied when the integrand is defined on {t : a < t < b} only. This paper investigates whether generalized averaged Gaussian quadrature rules and truncated variants are internal for measures induced by Chebyshev polynomials. Our results complement those of Notaris [13] for Gauss-Kronrod quadrature formulas for the same kind of measures. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved.
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