The growth and approximation for an analytic function represented by Laplace–Stieltjes transforms with generalized order converging in the half plane

By utilizing the concept of generalized order, we investigate the growth of Laplace–Stieltjes transform converging in the half plane and obtain one equivalence theorem concerning the generalized order of Laplace–Stieltjes transforms. Besides, we also study the problem on the approximation of this La...

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Detalles Bibliográficos
Autores principales: Xu, Hong Yan, Wang, Hua
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6062488/
https://www.ncbi.nlm.nih.gov/pubmed/30137913
http://dx.doi.org/10.1186/s13660-018-1783-y
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author Xu, Hong Yan
Wang, Hua
author_facet Xu, Hong Yan
Wang, Hua
author_sort Xu, Hong Yan
collection PubMed
description By utilizing the concept of generalized order, we investigate the growth of Laplace–Stieltjes transform converging in the half plane and obtain one equivalence theorem concerning the generalized order of Laplace–Stieltjes transforms. Besides, we also study the problem on the approximation of this Laplace–Stieltjes transform and give some results about the generalized order, the error, and the coefficients of Laplace–Stieltjes transforms. Our results are extension and improvement of the previous theorems given by Luo and Kong, Singhal, and Srivastava.
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spelling pubmed-60624882018-08-09 The growth and approximation for an analytic function represented by Laplace–Stieltjes transforms with generalized order converging in the half plane Xu, Hong Yan Wang, Hua J Inequal Appl Research By utilizing the concept of generalized order, we investigate the growth of Laplace–Stieltjes transform converging in the half plane and obtain one equivalence theorem concerning the generalized order of Laplace–Stieltjes transforms. Besides, we also study the problem on the approximation of this Laplace–Stieltjes transform and give some results about the generalized order, the error, and the coefficients of Laplace–Stieltjes transforms. Our results are extension and improvement of the previous theorems given by Luo and Kong, Singhal, and Srivastava. Springer International Publishing 2018-07-24 2018 /pmc/articles/PMC6062488/ /pubmed/30137913 http://dx.doi.org/10.1186/s13660-018-1783-y Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Xu, Hong Yan
Wang, Hua
The growth and approximation for an analytic function represented by Laplace–Stieltjes transforms with generalized order converging in the half plane
title The growth and approximation for an analytic function represented by Laplace–Stieltjes transforms with generalized order converging in the half plane
title_full The growth and approximation for an analytic function represented by Laplace–Stieltjes transforms with generalized order converging in the half plane
title_fullStr The growth and approximation for an analytic function represented by Laplace–Stieltjes transforms with generalized order converging in the half plane
title_full_unstemmed The growth and approximation for an analytic function represented by Laplace–Stieltjes transforms with generalized order converging in the half plane
title_short The growth and approximation for an analytic function represented by Laplace–Stieltjes transforms with generalized order converging in the half plane
title_sort growth and approximation for an analytic function represented by laplace–stieltjes transforms with generalized order converging in the half plane
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6062488/
https://www.ncbi.nlm.nih.gov/pubmed/30137913
http://dx.doi.org/10.1186/s13660-018-1783-y
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