Year: 2015
Analysis in Theory and Applications, Vol. 31 (2015), Iss. 4 : pp. 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. $
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2015.v31.n4.6
Analysis in Theory and Applications, Vol. 31 (2015), Iss. 4 : pp. 407–420
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Laplace-Stieltjes transformation analytic function order type approximation error.