Accession Number : AD0758364
Title : A Definition of Measure of Certain Infinite Series.
Descriptive Note : Technical rept.,
Corporate Author : NAVAL WEAPONS LAB DAHLGREN VA
Personal Author(s) : Frick,Charles H.
Report Date : FEB 1973
Pagination or Media Count : 19
Abstract : The series u(1) + u(2) + u(3) + ... + (u(n) + ... with u(t) being an analytic function of t (t > 0) is studied. A function, unique except for an arbitrary integration constant, is used in defining the measure of the series. The intimate relationship between measure and partial sums, as well as the sums of convergent series, is shown.
Descriptors : (*SERIES(MATHEMATICS), MEASURE THEORY), ANALYTIC FUNCTIONS, NUMERICAL ANALYSIS, CONVERGENCE
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE