Journal article
Computing values of a function on [0,1] from its moments
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, v 82(3-4), pp 273-289
1979
Abstract
In this work we present an algorithm for computing an integrable function almost everywhere on (0,1) when its moments are known. The method is based on the use of certain delta-shaped sequences, and can be adjusted to take advantage of the local smoothness of the function. As an application, we give an algorithm for the pointwise inversion of the Laplace transform which utilizes the values of the image function at equidistant points.
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3 citations in Scopus
Details
- Title
- Computing values of a function on [0,1] from its moments
- Creators
- Jet Wimp - University of Strathclyde
- Publication Details
- Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, v 82(3-4), pp 273-289
- Publisher
- Royal Society of Edinburgh Scotland Foundation
- Number of pages
- 17
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Scopus ID
- 2-s2.0-84971995971
- Other Identifier
- 991019312376704721