@Article{ATA-31-407, author = {G. S. Srivastava and Ch. Singhal}, title = {On the Approximation of an Analytic Function Represented by Laplace-Stieltjes Transformation}, journal = {Analysis in Theory and Applications}, year = {2017}, volume = {31}, number = {4}, pages = {407--420}, abstract = {
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 $F(s)$ by definite integral polynomials in the half plane $ {{Re}} s \le \beta < \alpha. $
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2015.v31.n4.6}, url = {http://global-sci.org/intro/article_detail/ata/4648.html} }