Abstract
AbstractAn operator form of the Euler-Maclaurin sum formula is obtained, expressing the sum of the Euler-Maclaurin infinite series in a closed derivation, whose spectrum is compact, not equal to {0}, and does not have 0 as a clusterpoint, as the difference between a summation operator and an antiderivation which is the local inverse of the derivation.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
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1. The standard summation operator, the Euler-Maclaurin sum formula, and the Laplace transformation;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1985-12