TY - JOUR
T1 - On the Approximation of an Analytic Function Represented by Laplace-Stieltjes Transformation
AU - G. S. Srivastava & Ch. Singhal
JO - Analysis in Theory and Applications
VL - 4
SP - 407
EP - 420
PY - 2017
DA - 2017/10
SN - 31
DO - http://doi.org/10.4208/ata.2015.v31.n4.6
UR - https://global-sci.org/intro/article_detail/ata/4648.html
KW - Laplace-Stieltjes transformation, analytic function, order, type, approximation error.
AB - <p style="text-align: justify;">In the present paper, we have considered the approximation of analytic functions represented by Laplace-Stieltjes transformations using sequence of definite integrals. We have characterized their order and type in terms of the rate of decrease of $ {E_n}( {F,\beta } )$ where $ {E_n}( {F,\beta } )$ is the error in approximating of the function $F(s)$ &nbsp;by definite integral polynomials in the half plane $ {{Re}} s \le \beta &nbsp;&lt; \alpha. $</p>