用广义阶Laplace-Stieltjes变换表示的解析函数在半平面上收敛的增长与逼近。

IF 1.6 3区数学 Q1 Mathematics

Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-07-24 DOI:10.1186/s13660-018-1783-y

Hong Yan Xu, Hua Wang

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引用次数: 2

摘要

利用广义阶的概念，研究了Laplace-Stieltjes变换收敛于半平面的增长，得到了关于Laplace-Stieltjes变换广义阶的一个等价定理。此外，我们还研究了Laplace-Stieltjes变换的近似问题，给出了Laplace-Stieltjes变换的广义阶数、误差和系数的一些结果。我们的结果是对Luo和Kong, Singhal和Srivastava先前给出的定理的推广和改进。

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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.

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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来源期刊

Journal of Inequalities and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.30

自引率

6.20%

发文量

136

审稿时长

3 months

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.