Accession Number : AD0657573

Title :   UPON THE PADE TABLE DERIVED FROM A STIELTJES SERIES.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Wynn,P.

Report Date : JUN 1967

Pagination or Media Count : 61

Abstract : The paper is concerned with the Pade table constructed from a series Summation, s = 0 to s = infinity, of ((-1) to the s power (c subscript s) (z superscript s)) whose coefficients are given by c subscript s = the integral from 0 to infinity of the quantity (u to the s power) d psi (u), where psi (u) is a bounded non-decreasing function in 0 = or < u = or < infinity. It is shown that under certain conditions, when z is real and positive, the Pade quotients along both forward and backward diagonals from monotonic sequences; an optimal property of the quotients lying upon the principal diagonal is proved. Some new convergence results are derived. The Pade quotients are compared with the transformed sums produced by certain linear methods. (Author)

Descriptors :   (*POWER SERIES, TABLES(DATA)), TRANSFORMATIONS(MATHEMATICS), SEQUENCES(MATHEMATICS), SERIES(MATHEMATICS), CONVERGENCE, NUMERICAL ANALYSIS, THEOREMS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE