Laplace-Stieltjes变换收敛横坐标上的一些不等式

IF 1.1 3区数学 Q1 MATHEMATICS

Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-12

H. Xu, Z. Xuan

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引用次数: 2

摘要

．利用Laplace-Stieltjes变换的基本性质，建立了Laplace-Stieltjes变换(cid:2)∞0 est d α (t)的收敛横坐标、绝对收敛横坐标和一致收敛横坐标的不等式。此外，我们还指出，在某些条件下，我们的三个坐标的收敛性公式与Yu[26]给出的拉普拉斯-斯蒂尔杰斯变换的结果是一致的。

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Some inequalities on the convergent abscissas of Laplace-Stieltjes transforms

. By making use of the basic properties of Laplace-Stieltjes transform, we establish some inequalities concerning the abscissa of convergence, the abscissa of absolute convergence and the abscissa of uniform convergence of Laplace-Stieltjes transform (cid:2) ∞ 0 e st d α ( t ) . Moreover, we point out that our formulas for the three abscissas of convergence are consistent with the previous results given by Yu [26] for Laplace-Stieltjes transform under some conditions.

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来源期刊

Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.90

自引率

3.40%

发文量

审稿时长

6-12 weeks

期刊介绍： The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.