Title of article :
Discrepancy of Weyl Sequences (nα) Perturbed by Rationally Periodic Functions
Author/Authors :
Lertchoosakul ، Poj Institute of Science - School of Mathematics - Suranaree University of Technology , Meleshko ، Sergey Institute of Science - School of Mathematics - Suranaree University of Technology
Abstract :
In this paper, we investigate the quantitative measure of uniform distribution of Weyl sequences perturbed by rationally periodic functions, such as (nα + cos(3nπ/4)) ∞ n=0 where α is an irrational number. We demonstrate that the discrepancy of these sequences attains the same order of magnitude bounds for the discrepancy of classical Weyl sequences (nα) ∞ n=0.
Keywords :
Weyl sequence , Discrepancy , Low , discrepancy sequence , Uniformdistribution modulo 1 , Periodic perturbation ,
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
