Some Asymptotic Estimates for Higher-Order Averaging and a Comparison with Iterated Averaging

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1983
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Murdock, James
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Mathematics
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Abstract

Asymptotic estimates for classical higher order averaging are obtained on intervals of length greater than 0(1/e) when some of the averages vanish. These results are compared with results of Persek using iterated averaging, and the classical methods are found to be more powerful.

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This article is published as Murdock, James A. "Some asymptotic estimates for higher order averaging and a comparison with iterated averaging." SIAM Journal on Mathematical Analysis 14, no. 3 (1983): 421-424. Posted with permission.

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Sat Jan 01 00:00:00 UTC 1983
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