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The Euler–Maclaurin formula generated by a summation operator

Published online by Cambridge University Press:  14 November 2011

John Boris Miller
John Boris Miller
Affiliation:
Department of Mathematics, Monash University, Victoria 3168, Australia
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Synopsis

A closed summation operator, whose spectrum lies within a certain region, generates a derivation and antiderivation, and an Euler–Maclaurin sum formula among these three operators.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 95 , Issue 3-4 , 1983 , pp. 285 - 300
Copyright
Copyright © Royal Society of Edinburgh 1983

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References

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