Euler-Boole Summation Revisited

Jonathan M. Borwein, Neil J. Calkin, Dante Manna
2009 The American mathematical monthly  
We study a connection between Euler-MacLaurin Summation and Boole Summation suggested in an AMM note from 1960, which explains them as two cases of a general approach to approximation. Herein we give details and extensions of this idea.
doi:10.1080/00029890.2009.11920954 fatcat:if457n64cjhnfhjwdpgn4cy7du