Construction of Continuous, Integrable Functions with Extreme Behavior at Infinity

Details Construction of Continuous, Integrable Functions with Extreme Behavior at Infinity Construction of Continuous, Integrable Functions with Extreme Behavior at Infinity

2010-10-16

arxiv.org/abs/1010.3354v4

Mathematics

Classical Analysis and ODEs

8 pages, LaTeX. Corrected 2010Dec15. Minor corrections made 2011Jan18, especially E contains instead of E equals in the 6th li

Scientific paper

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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