Computing values of a function on [0,1] from its moments
- 1 January 1979
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 82 (3-4) , 273-289
- https://doi.org/10.1017/s0308210500011240
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.This publication has 4 references indexed in Scilit:
- Saturation and Inverse Theorems for Combinations of a Class of Exponential-Type OperatorsCanadian Journal of Mathematics, 1976
- Delta methods for numerical inversion of the laplace transform, and their convergenceUSSR Computational Mathematics and Mathematical Physics, 1975
- Linear Combinations of Bernstein PolynomialsCanadian Journal of Mathematics, 1953
- The inversion of the Laplace integral and the related moment problemTransactions of the American Mathematical Society, 1934