Estimations of the Laplace – Stieltjes integrals

We study the Laplace – Stieltjes integrals with an arbitrary abscissa of convergence. The lower and upper estimates for these integrals are established. The accumulated results are used to deduce the relationships between the growth of the integral and the maximum of the integrand.

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Bibliographic Details
Date:2016
Main Authors: Dobushovs’kyi, M. S., Sheremeta, M. M., Добушовський, М. C., Шеремета, М. М.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2016
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1934
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal