One-Sided Version of Law of the Iterated Logarithm for Summations of Signum Functions

The law of the iterated logarithm (LIL), which describes the rate of convergence for a convergent lacunary series, was established by R. Salem and A. Zygmund. This rate is determined based on the variance-like term of the remainder after n terms of the series. In this article, we investigate a compa...

Full description

Bibliographic Details
Main Author: Santosh Ghimire
Format: Article
Language:English
Published: Hindawi Limited 2023-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2023/8369711