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On the remainder term in theN-dimensional Euler Maclaurin expansion

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Abstract

The form of the remainder term in theN-dimensional Euler Maclaurin expansion is investigated. A concise formalism is developed for handling expressions which are lengthy to state using conventional notation. Conditions under which an integral representation involving only derivatives of the same total order with conventional kernel functions exists for the remainder term are derived.

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Authors and Affiliations

  1. Applied Mathematics Division, Argonne National Laboratory, 60439, Argonne, Illinois, USA

    J. N. Lyness

  2. Division of Animal Genetics, C.S.I.R.O., Epping, N.S.W., Australia

    J. B. B. McHugh

Authors
  1. J. N. Lyness
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  2. J. B. B. McHugh
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Additional information

Work performed in part under the auspices of the U. S. Atomic Energy Commission.

Part of this work was carried out by both authors at the University of N.S.W., Kensington, N.S.W., Australia.

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Lyness, J.N., McHugh, J.B.B. On the remainder term in theN-dimensional Euler Maclaurin expansion. Numer. Math. 15, 333–344 (1970). https://doi.org/10.1007/BF02165125

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  • DOI: https://doi.org/10.1007/BF02165125

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