Accession Number : AD0679935

Title :   A CHARACTERIZATION OF FUNCTIONS WITH HIGHER ORDER DERIVATIVES IN L sub p.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Jerome,J. W. ; Schumaker,L. L.

Report Date : JUN 1968

Pagination or Media Count : 16

Abstract : A characterization in terms of sums of m(th) order divided differences is given for functions with absolutely continuous (m-l)st derivatives and m(th) derivatives in L sub p(a,b), -infinity = or < a < b = or < infinity. (Author)

Descriptors :   (*FUNCTIONAL ANALYSIS, INTERPOLATION), APPROXIMATION(MATHEMATICS), BANACH SPACE, OPTIMIZATION, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE