Approximation of bounded functions by positive linear operators
A general family of positive linear operators associated with a power expansion is studied. An upper estimate of the rate of convergence is obtained for bounded continuous functions in \([0,\infty)\) that has limit when \(x\to \infty\). Applications are included.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Tuncer Acar
2024-12-01
|
| Series: | Modern Mathematical Methods |
| Subjects: | |
| Online Access: | https://modernmathmeth.com/index.php/pub/article/view/30 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850210351428141056 |
|---|---|
| author | Jorge Bustamante |
| author_facet | Jorge Bustamante |
| author_sort | Jorge Bustamante |
| collection | DOAJ |
| description | A general family of positive linear operators associated with a power expansion is studied. An upper estimate of the rate of convergence is obtained for bounded continuous functions in \([0,\infty)\) that has limit when \(x\to \infty\). Applications are included. |
| format | Article |
| id | doaj-art-4ef8c728170742a7ad5ec1c9d3d6b3e9 |
| institution | OA Journals |
| issn | 3023-5294 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Tuncer Acar |
| record_format | Article |
| series | Modern Mathematical Methods |
| spelling | doaj-art-4ef8c728170742a7ad5ec1c9d3d6b3e92025-08-20T02:09:47ZengTuncer AcarModern Mathematical Methods3023-52942024-12-012311713130Approximation of bounded functions by positive linear operatorsJorge Bustamante0https://orcid.org/0000-0003-2856-6738Benemerita Universidad Autonoma de PueblaA general family of positive linear operators associated with a power expansion is studied. An upper estimate of the rate of convergence is obtained for bounded continuous functions in \([0,\infty)\) that has limit when \(x\to \infty\). Applications are included.https://modernmathmeth.com/index.php/pub/article/view/30positive linear operatorspower seriesrate of convergence |
| spellingShingle | Jorge Bustamante Approximation of bounded functions by positive linear operators Modern Mathematical Methods positive linear operators power series rate of convergence |
| title | Approximation of bounded functions by positive linear operators |
| title_full | Approximation of bounded functions by positive linear operators |
| title_fullStr | Approximation of bounded functions by positive linear operators |
| title_full_unstemmed | Approximation of bounded functions by positive linear operators |
| title_short | Approximation of bounded functions by positive linear operators |
| title_sort | approximation of bounded functions by positive linear operators |
| topic | positive linear operators power series rate of convergence |
| url | https://modernmathmeth.com/index.php/pub/article/view/30 |
| work_keys_str_mv | AT jorgebustamante approximationofboundedfunctionsbypositivelinearoperators |