The Approximation of Laplace-Stieltjes Transforms in the Half Plane
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Keywords:
Growth, Laplace-Stieltjes transform, approximation, $\gamma_{U}$-orderAbstract
In this paper, we study the growth of the analytic function represented by Laplace-Stieltjes transform of infinite order which is convergent in the right half plane. We also investigate the error in approximation defined on Laplace-Stieltjes transform of finite $\gamma_{U}$-order in the half plane, and some relations between the error and growth of Laplace-Stieltjes transform of finite $\gamma_{U}$-order.
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