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Monotonicity of quadrature approximations

Author: D. J. Newman
Journal: Proc. Amer. Math. Soc. 42 (1974), 251-257
MSC: Primary 41A55; Secondary 65D30
MathSciNet review: 0330865
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Abstract: For the general quadrature rules of Newton-Cotes we show that the convergence is monotone for the appropriate class of functions. Included are the well-known trapezoidal and Simpson rules.

References [Enhancements On Off] (What's this?)

  • [1] L. M. Milne-Thompson, Calculus of finite differences, Macmillan, New York, 1933.
  • [2] J. Molluzo, Doctoral Thesis, Yeshiva University, 1972 (unpublished).
  • [3] G. Szegö and P. Turán, On the monotone convergence of certain Riemann sums, Publ. Math. Debrecen 8 (1961), 326–335. MR 0137818

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Keywords: Monotonicity, quadrature
Article copyright: © Copyright 1974 American Mathematical Society

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