An improved error bound on Gauss quadrature. (August 2016)
- Record Type:
- Journal Article
- Title:
- An improved error bound on Gauss quadrature. (August 2016)
- Main Title:
- An improved error bound on Gauss quadrature
- Authors:
- Xiang, Shuhuang
- Abstract:
- Abstract: In this paper, the refined estimates on aliasing errors on integration of Chebyshev polynomials by Gauss quadrature are present, which, together with the asymptotic formulae on the coefficients of Chebyshev expansions, deduces an improved convergence rate for Gauss quadrature. The convergence orders are attainable for some functions of finite regularities.
- Is Part Of:
- Applied mathematics letters. Volume 58(2016:Aug.)
- Journal:
- Applied mathematics letters
- Issue:
- Volume 58(2016:Aug.)
- Issue Display:
- Volume 58 (2016)
- Year:
- 2016
- Volume:
- 58
- Issue Sort Value:
- 2016-0058-0000-0000
- Page Start:
- 42
- Page End:
- 48
- Publication Date:
- 2016-08
- Subjects:
- Gauss quadrature -- Convergence rate -- Aliasing -- Chebyshev expansion
Applied mathematics -- Periodicals
519.05 - Journal URLs:
- http://www.sciencedirect.com/science/journal/08939659 ↗
http://www.elsevier.com/journals ↗ - DOI:
- 10.1016/j.aml.2016.01.015 ↗
- Languages:
- English
- ISSNs:
- 0893-9659
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 1573.880000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 2471.xml