On the error term of symmetric Gauss-Lobatto quadrature formulae for analytic functions
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- by David Hunter and Geno Nikolov PDF
- Math. Comp. 69 (2000), 269-282 Request permission
Abstract:
Gauss-Lobatto quadrature formulae associated with symmetric weight functions are considered. The kernel of the remainder term for classes of analytic functions is investigated on elliptical contours. Sufficient conditions are found ensuring that the kernel attains its maximal absolute value at the intersection point of the contour with either the real or the imaginary axis. The results obtained here are an analogue of some recent results of T. Schira concerning Gaussian quadratures.References
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Additional Information
- David Hunter
- Affiliation: Department of Computing and Mathematics, University of Bradford, BD7 Bradford, West Yorkshire, United Kingdom
- Geno Nikolov
- Affiliation: Department of Mathematics, University of Sofia, blvd. James Bourchier 5, 1164 Sofia, Bulgaria
- MR Author ID: 131505
- ORCID: 0000-0001-5608-2488
- Email: geno@fmi.uni-sofia.bg
- Received by editor(s): October 14, 1997
- Received by editor(s) in revised form: March 26, 1998
- Published electronically: March 4, 1999
- Additional Notes: The second author did this work while he was on leave from the Department of Mathematics, University of Sofia, blvd J. Bourchier 5, 1164 Sofia, Bulgaria. He was supported by a grant from the Royal Society, and by the Bulgarian Ministry of Science, Education and Technologies under Grant MM-513/95
- © Copyright 1999 American Mathematical Society
- Journal: Math. Comp. 69 (2000), 269-282
- MSC (1991): Primary 41A55; Secondary 65D30, 65D35
- DOI: https://doi.org/10.1090/S0025-5718-99-01078-9
- MathSciNet review: 1642754