Euler-Maclaurin summation formula

  • #1
I am interested in knowing under what conditions the Euler-Maclaurin summation formula converges (including the remainder term). Is there anywhere in the texts or literature where they discuss this?

Thanks.
 

Answers and Replies

  • #2
Does the sum converge provided the integral converges, and vice-versa? What about the remainder terms? do they converge? I'm not too concerned with the rate of convergence; I just want to know if converges. Or where in the literature I can find the answer.

It seems to me that Euler-Maclaurin summation formula always converges.
 

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