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arXiv · 1010.3354

Construction of Continuous, Integrable Functions with Extreme Behavior at Infinity

George W. Batten Jr
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Abstract

For any real sequence {c(n)} tending to infinity as n tends to infinity, this constructs a function f which is continuous and integrable, and such that for every nonzero x, limsup c(n) f(n x) is infinite.

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George W. Batten Jr. 2011-01-20. Construction of Continuous, Integrable Functions with Extreme Behavior at Infinity. https://arxiv.org/abs/1010.3354

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