A Convergence Theorem for Certain Riemann Sums

Charles K. Chui

doi:10.4153/CMB-1969-071-8

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For a Riemann integrable function f on the interval [0,1], let

and consider the Riemann sums

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Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Chui, Charles K 1971. Concerning rates of convergence of Riemann sums. Journal of Approximation Theory, Vol. 4, Issue. 3, p. 279.

Chui, Charles K. 1972. Concerning Gaussian–Chebyshev Quadrature Errors. SIAM Journal on Numerical Analysis, Vol. 9, Issue. 2, p. 237.

Chui, Charles K. 1973. Convergence of certain quadrature processes. Aequationes Mathematicae, Vol. 9, Issue. 2-3, p. 242.

Ching, Chin-Hung and Chui, Charles K 1974. Asymptotic similarities of Fourier and Riemann coefficients. Journal of Approximation Theory, Vol. 10, Issue. 3, p. 295.

Schmetterer, L. 1975. Zur numerischen Quadratur. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 55, Issue. 1, p. 59.

Niederreiter, Harald 1978. Quasi-Monte Carlo methods and pseudo-random numbers. Bulletin of the American Mathematical Society, Vol. 84, Issue. 6, p. 957.

ПАННИКОВ, Б. В. 1993. О множителе Вейля для сходимости сумм Рима на. Analysis Mathematica, Vol. 19, Issue. 3, p. 243.

Polo-Gómez, José and Martín-Martínez, Eduardo 2024. Nonperturbative method for particle detectors with continuous interactions. Physical Review D, Vol. 109, Issue. 4,

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A Convergence Theorem for Certain Riemann Sums

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