<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We define uniform distribution in compact metric space with respect to the Buck’s measure density originated in [Buck, R. C.: The measure theoretic approach to density, Amer. J. Math. <bold>68 </bold>(1946), 560-580]. Weyl’s criterion is derived. This leads to an existence result.</p></abstract>

We define uniform distribution in compact metric space with respect to the Buck’s measure density originated in [Buck, R. C.: The measure theoretic approach to density, Amer. J. Math. 68 (1946), 560-580]. Weyl’s criterion is derived. This leads to an existence result.

ON BUCK’S UNIFORM DISTRIBUTION IN COMPACT METRIC SPACES

Tatra Mountains Mathematical Publications

{"article-title":"ON BUCK\u2019S UNIFORM DISTRIBUTION IN COMPACT METRIC SPACES"}

We define uniform distribution in compact metric space with respect to the Buck’s measure density originated in [Buck, R. C.: The measure theoretic approach to...

ON BUCK’S UNIFORM DISTRIBUTION IN COMPACT METRIC SPACES

Published Online: Feb 18, 2014

Page range: 61 - 66

DOI: https://doi.org/10.2478/tmmp-2013-0027

This content is open access.