The Approximation of Laplace-Stieltjes Transforms Concerning Sun’s Type Function
The main aim of this paper is to establish some theorems concerning the error EnF,β, the Sun’s type function Ur, and Muσ,F of entire functions defined by Laplace-Stieltjes transforms with infinite order converge in the whole complex plane. Our results exhibit the growth of Laplace-Stieltjes transfor...
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Format: | Article |
Language: | English |
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Wiley
2021-01-01
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Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2021/9970287 |
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author | Xia Shen Hong Yan Xu |
author_facet | Xia Shen Hong Yan Xu |
author_sort | Xia Shen |
collection | DOAJ |
description | The main aim of this paper is to establish some theorems concerning the error EnF,β, the Sun’s type function Ur, and Muσ,F of entire functions defined by Laplace-Stieltjes transforms with infinite order converge in the whole complex plane. Our results exhibit the growth of Laplace-Stieltjes transforms from the point of view of approximation. |
format | Article |
id | doaj-art-4674072e5b2f4ea7a2e8a6940e6f21d8 |
institution | Kabale University |
issn | 2314-8896 2314-8888 |
language | English |
publishDate | 2021-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Function Spaces |
spelling | doaj-art-4674072e5b2f4ea7a2e8a6940e6f21d82025-02-03T07:23:54ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/99702879970287The Approximation of Laplace-Stieltjes Transforms Concerning Sun’s Type FunctionXia Shen0Hong Yan Xu1College of Science, Jiujiang University, Jiujiang, Jiangxi 332005, ChinaSchool of Mathematics and Computer Science, Shangrao Normal University, Shangrao Jiangxi 334001, ChinaThe main aim of this paper is to establish some theorems concerning the error EnF,β, the Sun’s type function Ur, and Muσ,F of entire functions defined by Laplace-Stieltjes transforms with infinite order converge in the whole complex plane. Our results exhibit the growth of Laplace-Stieltjes transforms from the point of view of approximation.http://dx.doi.org/10.1155/2021/9970287 |
spellingShingle | Xia Shen Hong Yan Xu The Approximation of Laplace-Stieltjes Transforms Concerning Sun’s Type Function Journal of Function Spaces |
title | The Approximation of Laplace-Stieltjes Transforms Concerning Sun’s Type Function |
title_full | The Approximation of Laplace-Stieltjes Transforms Concerning Sun’s Type Function |
title_fullStr | The Approximation of Laplace-Stieltjes Transforms Concerning Sun’s Type Function |
title_full_unstemmed | The Approximation of Laplace-Stieltjes Transforms Concerning Sun’s Type Function |
title_short | The Approximation of Laplace-Stieltjes Transforms Concerning Sun’s Type Function |
title_sort | approximation of laplace stieltjes transforms concerning sun s type function |
url | http://dx.doi.org/10.1155/2021/9970287 |
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