<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper is examined the acceleration of convergence of alternative and non-alternative numerical and power series by means of an Euler-Abel type operator, that is defined earlier by G.A.Sorokin and I.Z.Milovanovic. Through this type of linear operator of generalized difference of sequence is achieved that alternative and non-alternative numerical and power series to be transformed into series with higher speed of convergence than the initial series. At the end of this paper is given the implementation of this method through a numeric example.</p></abstract>

In this paper is examined the acceleration of convergence of alternative and non-alternative numerical and power series by means of an Euler-Abel type operator, that is defined earlier by G.A.Sorokin and I.Z.Milovanovic. Through this type of linear operator of generalized difference of sequence is achieved that alternative and non-alternative numerical and power series to be transformed into series with higher speed of convergence than the initial series. At the end of this paper is given the implementation of this method through a numeric example.

A Method for Accelerating of Convergence of Numerical and Power Series

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This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"A Method for Accelerating of Convergence of Numerical and Power Series"}

In this paper is examined the acceleration of convergence of alternative and non-alternative numerical and power series by means of an Euler-Abel type...

A Method for Accelerating of Convergence of Numerical and Power Series

Published Online: Apr 24, 2020

Page range: 114 - 121

DOI: https://doi.org/10.2478/seeur-2019-0022

Keywords
numerical series, power series, convergence, accelerating

© 2019 Murat Sadiku, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

A Method for Accelerating of Convergence of Numerical and Power Series

Published Online: Apr 24, 2020

Page range: 114 - 121

DOI: https://doi.org/10.2478/seeur-2019-0022

Keywordsnumerical series, power series, convergence, accelerating

© 2019 Murat Sadiku, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
numerical series, power series, convergence, accelerating