The operator remainder in the Euler-Maclaurin formula |
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| Authors: | John Boris Miller |
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| Institution: | (1) Department of Mathematics, Monash University, 3168 Clayton, Victoria, Australia |
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| Abstract: | We give a formula for the remainder term in the operator-theoretic formulation of the Euler-Maclaurin formula, using Laplace transforms. There is also a related formula for the partial sums.Keywords and phrases: Euler-Maclaurin sum formula, remainder term, Laplace transform, Bernoulli polynomial.Dedicated to Professor Janos Aczél on his 60th birthday |
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| Keywords: | Primary 41A65 65B15 Secondary 44A10 41A60 |
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