Anal. Theory Appl., 31 (2015), pp. 407-420.
Published online: 2017-10
Cited by
- BibTex
- RIS
- TXT
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} }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. $