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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


On generalized averaged Gaussian formulas
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by Miodrag M. Spalević PDF
Math. Comp. 76 (2007), 1483-1492 Request permission

Erratum: Math. Comp. 47 (1986), 767.


We present a simple numerical method for constructing the optimal (generalized) averaged Gaussian quadrature formulas which are the optimal stratified extensions of Gauss quadrature formulas. These extensions exist in many cases in which real positive Kronrod formulas do not exist. For the Jacobi weight functions $w(x)\equiv w^{(\alpha ,\beta )}(x)=(1-x)^\alpha (1+x)^\beta$ ($\alpha ,\beta >-1$) we give a necessary and sufficient condition on the parameters $\alpha$ and $\beta$ such that the optimal averaged Gaussian quadrature formulas are internal.
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Additional Information
  • Miodrag M. Spalević
  • Affiliation: Department of Mathematics and Informatics, University of Kragujevac, Faculty of Science, P.O. Box 60, 34000 Kragujevac, Serbia
  • MR Author ID: 600543
  • Email:
  • Received by editor(s): August 9, 2005
  • Received by editor(s) in revised form: May 4, 2006
  • Published electronically: March 8, 2007
  • Additional Notes: The author was supported in part by the Serbian Ministry of Science and Environmental Protection (Project #144005A: “Approximation of linear operators”).
  • © Copyright 2007 American Mathematical Society
  • Journal: Math. Comp. 76 (2007), 1483-1492
  • MSC (2000): Primary 65D30, 65D32; Secondary 33A65
  • DOI:
  • MathSciNet review: 2299784