A NEW METHOD FOR APPROXIMATING CERTAIN FUNCTIONS AND ITS APPLICATION TO CRITICAL PHENOMENA,
Abstract
A method is derived for obtaining approximants to real-values, bounded functions f(t) over 0=or<t=or< infinity. The k,mth approximant to f(t) is of the form (g sub km)(t)= 1/t((Summation, mu=1 to m)(Summation, n=1 to k) of the quantity (a sub n)(s sub nu) (( t/((s sub nu)+t)) to the nth power)), and it is constructed so that its expansions about t = 0 and t = infinity coincide with the expansions of f(t) for the first k terms about t = 0 and the first m terms about t = infinity. The method is useful for obtaining very accurate approximants to functions for computer applications and for inferring the behavior of physical quantities that are known only for very small and very large values of their arguments. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1970
- Accession Number
- AD0712972
Entities
People
- Nick Karayianis
Organizations
- Harry Diamond Laboratories