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

Abstract 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 o...

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Main Authors:	Hong Yan Xu, Hua Wang
Format:	Article
Language:	English
Published:	SpringerOpen 2018-07-01
Series:	Journal of Inequalities and Applications
Subjects:	Approximation Laplace–Stieltjes transform Half plane Error
Online Access:	http://link.springer.com/article/10.1186/s13660-018-1783-y

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spelling	doaj-14a9ee2ddb2b4576ae52aef74d104a8d2020-11-25T01:30:06ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-07-012018111610.1186/s13660-018-1783-yThe growth and approximation for an analytic function represented by Laplace–Stieltjes transforms with generalized order converging in the half planeHong Yan Xu0Hua Wang1Department of Informatics and Engineering, Jingdezhen Ceramic InstituteDepartment of Informatics and Engineering, Jingdezhen Ceramic InstituteAbstract 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.http://link.springer.com/article/10.1186/s13660-018-1783-yApproximationLaplace–Stieltjes transformHalf planeError
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Hong Yan Xu Hua Wang
spellingShingle	Hong Yan Xu Hua Wang The growth and approximation for an analytic function represented by Laplace–Stieltjes transforms with generalized order converging in the half plane Journal of Inequalities and Applications Approximation Laplace–Stieltjes transform Half plane Error
author_facet	Hong Yan Xu Hua Wang
author_sort	Hong Yan Xu
title	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_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_sort	growth and approximation for an analytic function represented by laplace–stieltjes transforms with generalized order converging in the half plane
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2018-07-01
description	Abstract 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.
topic	Approximation Laplace–Stieltjes transform Half plane Error
url	http://link.springer.com/article/10.1186/s13660-018-1783-y
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The growth and approximation for an analytic function represented by Laplace–Stieltjes transforms with generalized order converging in the half plane

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