Limits of integrals involving almost periodic functions
type: Item
instance of: scholarly article
title: Limits of integrals involving almost periodic functions
zbMATH Open document ID: 1080.42004
DOI: 10.1007/BF03322888
author: Giuseppe Molteni
published in: Results in Mathematics
publication date: 2005-04-29T00:00:00Z
review text: The author is concerned with the existence of some limits involving almost periodic functions, establishing their existence and asymptotic formulas. For instance it is shown that \[ \int^\infty_1 f(x)\sin(Rx){dx\over x}=- {\ln\| R\|\over 2[R]^2}+ o(1), \] with \([R]\) representing the largest integer in \(R\). Results similar to those related to the integral which defines the mean value for AP functions are also investigated.
reviewed by: Constantin Corduneanu
Mathematics Subject Classification ID: 42A75
zbMATH DE Number: 2163348
zbMATH Keywords: almost periodic functions
zbMATH Keywords: asymptotics
MaRDI profile type: Publication
cites work: Q3993231
cites work: Q3993068
cites work: Q3735790
cites work: Q4488162
description: scientific article; zbMATH DE number 2163348