Newman’s theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo approximation theory
gptkbp:field gptkb:mathematics
https://www.w3.org/2000/01/rdf-schema#label Newman’s theorem
gptkbp:namedAfter Donald J. Newman
gptkbp:publishedIn gptkb:Proceedings_of_the_American_Mathematical_Society
gptkbp:significance Shows rational functions can approximate certain functions better than polynomials.
gptkbp:state There exists a sequence of rational functions that converges uniformly to |x| on [-1,1] faster than any sequence of polynomials.
gptkbp:topic polynomial approximation
rational approximation
gptkbp:yearProposed 1964
gptkbp:bfsParent gptkb:Maxwell_Herman_Alexander_Newman
gptkbp:bfsLayer 7