A Uniform Distribution Question Related to Numerical Analysis

  • Charles F. Osgood
  • Published 2010

Abstract

Using the theory of uniform distribution modulo one, it is shown that under certain conditions on the real-valued functions a(x) and g(x) on [0, 1], [ft_1l . V h 2 {h~Xa(yh)}mg(yh)= (m + 1)""' /Jg(x)dx + of/i1/3log|j as h -> 0+, 7=1 where m > 0 and {x}denotes the fractional part of x. The conditions are as follows: a"(x) exists for all but finitely many… (More)

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Cite this paper

@inproceedings{Osgood2010AUD, title={A Uniform Distribution Question Related to Numerical Analysis}, author={Charles F. Osgood}, year={2010} }