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 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 a...
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| Format: | Article |
| Language: | English |
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Sciendo
2019-12-01
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| Series: | SEEU Review |
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| Online Access: | https://doi.org/10.2478/seeur-2019-0022 |
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doaj-6cfbbf0c6bdc410a913a0d53304edbf32021-09-05T14:01:51ZengSciendoSEEU Review1857-84622019-12-0114211412110.2478/seeur-2019-0022seeur-2019-0022A Method for Accelerating of Convergence of Numerical and Power SeriesSadiku Murat0South East European University, Tetovo, North MacedoniaIn 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.https://doi.org/10.2478/seeur-2019-0022numerical seriespower seriesconvergenceaccelerating |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Sadiku Murat |
| spellingShingle |
Sadiku Murat A Method for Accelerating of Convergence of Numerical and Power Series SEEU Review numerical series power series convergence accelerating |
| author_facet |
Sadiku Murat |
| author_sort |
Sadiku Murat |
| title |
A Method for Accelerating of Convergence of Numerical and Power Series |
| title_short |
A Method for Accelerating of Convergence of Numerical and Power Series |
| title_full |
A Method for Accelerating of Convergence of Numerical and Power Series |
| title_fullStr |
A Method for Accelerating of Convergence of Numerical and Power Series |
| title_full_unstemmed |
A Method for Accelerating of Convergence of Numerical and Power Series |
| title_sort |
method for accelerating of convergence of numerical and power series |
| publisher |
Sciendo |
| series |
SEEU Review |
| issn |
1857-8462 |
| publishDate |
2019-12-01 |
| description |
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. |
| topic |
numerical series power series convergence accelerating |
| url |
https://doi.org/10.2478/seeur-2019-0022 |
| work_keys_str_mv |
AT sadikumurat amethodforacceleratingofconvergenceofnumericalandpowerseries AT sadikumurat methodforacceleratingofconvergenceofnumericalandpowerseries |
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1717809498163249152 |