Statements (13)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:mathematical_concept
                                        
                                         | 
                            
| gptkbp:appliesTo | 
                                    
                                        
                                            
                                            approximation theory
                                        
                                        
                                         | 
                            
| gptkbp:field | 
                                    
                                        
                                            gptkb:mathematics
                                        
                                         | 
                            
| 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
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            Newman’s theorem
                                        
                                        
                                         |