Slow Growth and Optimal Approximation of Pseudoanalytic Functions on the Disk
Pseudoanalytic functions (PAF) are constructed as complex combination of real-valued analytic solutions to the Stokes-Betrami System. These solutions include the generalized biaxisymmetric potentials. McCoy [10] considered the approximation of pseudoanalytic functions on the disk. Kumar et al. [9] s...
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| Format: | Article |
| Language: | English |
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Etamaths Publishing
2013-07-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://www.etamaths.com/index.php/ijaa/article/view/81 |
| _version_ | 1818042740917665792 |
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| author | Devendra Kumar |
| author_facet | Devendra Kumar |
| author_sort | Devendra Kumar |
| collection | DOAJ |
| description | Pseudoanalytic functions (PAF) are constructed as complex combination of real-valued analytic solutions to the Stokes-Betrami System. These solutions include the generalized biaxisymmetric potentials. McCoy [10] considered the approximation of pseudoanalytic functions on the disk. Kumar et al. [9] studied the generalized order and generalized type of PAF in terms of the Fourier coefficients occurring in its local expansion and optimal approximation errors in Bernstein sense on the disk. The aim of this paper is to improve the results of McCoy [10] and Kumar et al. [9]. Our results apply satisfactorily for slow growth. |
| first_indexed | 2024-12-10T08:51:08Z |
| format | Article |
| id | doaj.art-e4f9a730724249588c6d265e970764a4 |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-12-10T08:51:08Z |
| publishDate | 2013-07-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-e4f9a730724249588c6d265e970764a42022-12-22T01:55:36ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392013-07-0121263717Slow Growth and Optimal Approximation of Pseudoanalytic Functions on the DiskDevendra KumarPseudoanalytic functions (PAF) are constructed as complex combination of real-valued analytic solutions to the Stokes-Betrami System. These solutions include the generalized biaxisymmetric potentials. McCoy [10] considered the approximation of pseudoanalytic functions on the disk. Kumar et al. [9] studied the generalized order and generalized type of PAF in terms of the Fourier coefficients occurring in its local expansion and optimal approximation errors in Bernstein sense on the disk. The aim of this paper is to improve the results of McCoy [10] and Kumar et al. [9]. Our results apply satisfactorily for slow growth.http://www.etamaths.com/index.php/ijaa/article/view/81 |
| spellingShingle | Devendra Kumar Slow Growth and Optimal Approximation of Pseudoanalytic Functions on the Disk International Journal of Analysis and Applications |
| title | Slow Growth and Optimal Approximation of Pseudoanalytic Functions on the Disk |
| title_full | Slow Growth and Optimal Approximation of Pseudoanalytic Functions on the Disk |
| title_fullStr | Slow Growth and Optimal Approximation of Pseudoanalytic Functions on the Disk |
| title_full_unstemmed | Slow Growth and Optimal Approximation of Pseudoanalytic Functions on the Disk |
| title_short | Slow Growth and Optimal Approximation of Pseudoanalytic Functions on the Disk |
| title_sort | slow growth and optimal approximation of pseudoanalytic functions on the disk |
| url | http://www.etamaths.com/index.php/ijaa/article/view/81 |
| work_keys_str_mv | AT devendrakumar slowgrowthandoptimalapproximationofpseudoanalyticfunctionsonthedisk |