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Euler-Boole summation revisited. (English) Zbl 1229.11035

Summary: We study a connection between Euler-MacLaurin summation and Boole summation suggested by W. Strodt [Am. Math. Mon. 67, 452–454 (1960; Zbl 0090.28001)], which explains them as two cases of a general approach to approximation. Herein we give details and extensions of this idea.

MSC:

11B68 Bernoulli and Euler numbers and polynomials
11B73 Bell and Stirling numbers
26A06 One-variable calculus
97F60 Number theory (educational aspects)
97I30 Sequences and series (educational aspects)

Citations:

Zbl 0090.28001
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