Convergence rate of Post-Widder approximate inversion of the Laplace transform
type: Item
instance of: scholarly article
title: Convergence rate of Post-Widder approximate inversion of the Laplace transform
zbMATH Open document ID: 0969.44001
author: Dinh Thanh Duc
author: Vu Kim Tuan
published in: Vietnam Journal of Mathematics
publication date: 2001-09-27T00:00:00Z
review text: The authors obtain the convergence rate of the Post-Widder approximate inversion of the Laplace transform in \(L_2(R_+)\) at two assumptions on the regularity of the original function \(f(t)\). Such an inversion should be applied if the image function \(F(p)\) is known only on the positive axis \(R_+\). The method is based on the presentation of the Laplace transform via the Parseval formula for the Mellin convolution.
Mathematics Subject Classification ID: 44A10
zbMATH DE Number: 1556832
zbMATH Keywords: Laplace transform
zbMATH Keywords: Post-Widder approximate inversion
zbMATH Keywords: convergence
zbMATH Keywords: Parseval formula
zbMATH Keywords: Mellin convolution
reviewed by: P. B. Dubovski
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1556832