The approximation of Laplace-Stieltjes transforms with finite order

Journal of inequalities and applications

Hong Yan Xu¹ 

关键词: irregular growth;    Laplace-Stieltjes transform;    approximate;    error;    44A10;    30D15;   

DOI  :  10.1186/s13660-017-1441-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the irregular growth of an entire function defined by the Laplace-Stieltjes transform of finite order convergent in the whole complex plane and obtain some results about λ-lower type. In addition, we also investigate the problem on the error in approximating entire functions defined by the Laplace-Stieltjes transforms. Some results about the irregular growth, the error, and the coefficients of Laplace-Stieltjes transforms are obtained; they are generalization and improvement of the previous conclusions given by Luo and Kong, Singhal and Srivastava.

【 授权许可】

CC BY