Integration of polynomials
Volume 31 / 2004
                    
                    
                        Applicationes Mathematicae 31 (2004), 1-4                    
                                        
                        MSC: Primary 65D32.                    
                                        
                        DOI: 10.4064/am31-1-1                    
                                    
                                                Abstract
We prove that the only functions for which certain standard numerical integration formulas are exact are polynomials.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            