A Law of the Iterated Logarithm for the Signum Function

In 2023, S. Ghimire established a one-sided version of a law of the iterated logarithm, denoted as LIL, for summations of signum functions analogous to the LIL proposed by Salem and Zygmund for trigonometric series. In this article, we complete the LIL for these signum functions by establishing the complimentary version of the LIL.

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Publication Details

Journal
Communications on Applied Nonlinear Analysis
Published
2024-09-26
DOI
https://doi.org/10.52783/cana.v32.1747
Primary Topic
advanced mathematical theories
Type
article
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article

A Law of the Iterated Logarithm for the Signum Function

Santosh Ghimire
Communications on Applied Nonlinear Analysis
advanced mathematical theories
article

A Law of the Iterated Logarithm for the Signum Function

Santosh Ghimire
article en

Abstract

In 2023, S. Ghimire established a one-sided version of a law of the iterated logarithm, denoted as LIL, for summations of signum functions analogous to the LIL proposed by Salem and Zygmund for trigonometric series. In this article, we complete the LIL for these signum functions by establishing the complimentary version of the LIL.

Communications on Applied Nonlinear AnalysisVol. 32(2)
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advanced mathematical theories
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A Law of the Iterated Logarithm for the Signum Function — Santosh Ghimire · Communications on Applied Nonlinear Analysis (2024) | TGRS Research Map | TGRS