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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Characterization of functions in terms of rate of convergence of a quadrature process
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by Q. I. Rahman and G. Schmeisser PDF
Proc. Amer. Math. Soc. 111 (1991), 85-94 Request permission

Abstract:

We discuss the relationship between the regularity properties of a continuous $2\pi$-periodic function $f$ and the behavior of the remainder of the trapezoidal rule on $[0,2\pi ]$ applied to $f$.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 111 (1991), 85-94
  • MSC: Primary 41A25; Secondary 41A55, 46E35, 65D32
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1045597-0
  • MathSciNet review: 1045597