[L'approximation des transformées de Laplace–Stieltjes d'ordre fini sur le demi-plan gauche]
Dans cette Note, nous étudions l'erreur d'approximation d'une fonction analytique définie comme une transformée de Laplace–Stieltjes d'ordre fini, qui converge dans le demi-plan gauche. Nous obtenons des théorèmes reliant cette erreur, les coefficients et l'ordre d'approximation de la transformation de Laplace–Stieltjes.
In this paper, we study the error in approximating the analytic function defined by a Laplace–Stieltjes transformation of finite order, which converges on the left half plane, and obtain the relation theorems between the error, the coefficients, and the proximate order of the Laplace–Stieltjes transformation.
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@article{CRMATH_2018__356_1_63_0,
author = {Hong-Yan Xu and Yin-Ying Kong},
title = {The approximation of {Laplace{\textendash}Stieltjes} transformations with finite order on the left half plane},
journal = {Comptes Rendus. Math\'ematique},
pages = {63--76},
publisher = {Elsevier},
volume = {356},
number = {1},
year = {2018},
doi = {10.1016/j.crma.2017.11.011},
language = {en},
}
TY - JOUR AU - Hong-Yan Xu AU - Yin-Ying Kong TI - The approximation of Laplace–Stieltjes transformations with finite order on the left half plane JO - Comptes Rendus. Mathématique PY - 2018 SP - 63 EP - 76 VL - 356 IS - 1 PB - Elsevier DO - 10.1016/j.crma.2017.11.011 LA - en ID - CRMATH_2018__356_1_63_0 ER -
Hong-Yan Xu; Yin-Ying Kong. The approximation of Laplace–Stieltjes transformations with finite order on the left half plane. Comptes Rendus. Mathématique, Volume 356 (2018) no. 1, pp. 63-76. doi : 10.1016/j.crma.2017.11.011. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.11.011/
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☆ The first author was supported by the Natural Science Foundation of China (11561033, 11301233), the Natural Science Foundation of Jiangxi Province (20151BAB201008), and the Foundation of Education Department of Jiangxi of China (GJJ150902). The second author holds the Project Supported by Guangdong Natural Science Foundation (2015A030313628) and the Training plan for Outstanding Young Teachers in Higher Education of Guangdong (Yqgdufe1405).
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