Korovkin-type approximation theorem for Bernstein Stancu operator of rough statistical convergence of triple sequence
We obtain a Korovkin-type approximation theorem for Bernstein Stancu polynomials of rough statistical convergence of triple sequences of positive linear operators of three variables from $H_{\omega}\left( K\right) $ to $C_{B}\left( K\right) $, where $K=[0,\infty)\times\lbrack0,\infty )\times\lbrack...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2019-10-01
|
| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/45874 |
| _version_ | 1797633532335489024 |
|---|---|
| author | Ayten Esi Mustafa Kemal Ozdemir Nagarajan Subramanian |
| author_facet | Ayten Esi Mustafa Kemal Ozdemir Nagarajan Subramanian |
| author_sort | Ayten Esi |
| collection | DOAJ |
| description |
We obtain a Korovkin-type approximation theorem for Bernstein Stancu polynomials of rough statistical convergence of triple sequences of positive linear operators of three variables from $H_{\omega}\left( K\right) $ to $C_{B}\left( K\right) $, where $K=[0,\infty)\times\lbrack0,\infty )\times\lbrack0,\infty)$ and $\omega$ is non-negative increasing function on $K$.
|
| first_indexed | 2024-03-11T11:55:17Z |
| format | Article |
| id | doaj.art-e088e178932044cd99bba9c39fd006a9 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:55:17Z |
| publishDate | 2019-10-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-e088e178932044cd99bba9c39fd006a92023-11-08T20:07:01ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882019-10-0138710.5269/bspm.v38i7.45874Korovkin-type approximation theorem for Bernstein Stancu operator of rough statistical convergence of triple sequenceAyten Esi0Mustafa Kemal Ozdemir1Nagarajan Subramanian2Adiyaman UniversityInonu UniversitySASTRA University We obtain a Korovkin-type approximation theorem for Bernstein Stancu polynomials of rough statistical convergence of triple sequences of positive linear operators of three variables from $H_{\omega}\left( K\right) $ to $C_{B}\left( K\right) $, where $K=[0,\infty)\times\lbrack0,\infty )\times\lbrack0,\infty)$ and $\omega$ is non-negative increasing function on $K$. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/45874 |
| spellingShingle | Ayten Esi Mustafa Kemal Ozdemir Nagarajan Subramanian Korovkin-type approximation theorem for Bernstein Stancu operator of rough statistical convergence of triple sequence Boletim da Sociedade Paranaense de Matemática |
| title | Korovkin-type approximation theorem for Bernstein Stancu operator of rough statistical convergence of triple sequence |
| title_full | Korovkin-type approximation theorem for Bernstein Stancu operator of rough statistical convergence of triple sequence |
| title_fullStr | Korovkin-type approximation theorem for Bernstein Stancu operator of rough statistical convergence of triple sequence |
| title_full_unstemmed | Korovkin-type approximation theorem for Bernstein Stancu operator of rough statistical convergence of triple sequence |
| title_short | Korovkin-type approximation theorem for Bernstein Stancu operator of rough statistical convergence of triple sequence |
| title_sort | korovkin type approximation theorem for bernstein stancu operator of rough statistical convergence of triple sequence |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/45874 |
| work_keys_str_mv | AT aytenesi korovkintypeapproximationtheoremforbernsteinstancuoperatorofroughstatisticalconvergenceoftriplesequence AT mustafakemalozdemir korovkintypeapproximationtheoremforbernsteinstancuoperatorofroughstatisticalconvergenceoftriplesequence AT nagarajansubramanian korovkintypeapproximationtheoremforbernsteinstancuoperatorofroughstatisticalconvergenceoftriplesequence |