A MEAN-VALUE THEOREM FOR EXPONENTIAL-SUMS

Authors
Citation
Mn. Huxley, A MEAN-VALUE THEOREM FOR EXPONENTIAL-SUMS, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 59, 1995, pp. 304-307
Citations number
2
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
ISSN journal
02636115
Volume
59
Year of publication
1995
Part
3
Pages
304 - 307
Database
ISI
SICI code
0263-6115(1995)59:<304:AMTFE>2.0.ZU;2-G
Abstract
The exponential sum S(x) = Sigma e(f(m + x)) has mean square size O(M) , when m runs through M consecutive integers, f(x) satisfies bounds on the second and third derivatives, and x runs from 0 to 1.