Journal of Mathematical Sciences: Advances and Applications
BY USING -DECIMAL PART FUNCTIONAuthor's: Mohamad Hadi Hooshmand and Hailiza Kamarul Haili
Pages: [279] - [285]
Received Date: October 23, 2009
Submitted by:
The b-parts of real numbers were introduced and studied in [1,
2]. Those have many interesting number theoretic explanations,
algebraic, and analytic properties, and the b-decimal part is
as a generalization of the fractional part of real numbers. On the
other hand, uniform distributed real sequences modulo 1 are defined by
using their fractional parts. Considering these facts in this paper,
we describe and consider uniform distribution of real sequences modulo
an arbitrary fixed real number 
and state its relation to the uniform
distribution of real sequences modulo 1, by using b-parts.
uniform distribution modulo 1, b-integer and b-decimal parts of real numbers, b-decimal part function.
