<b>Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1)
The concept of statistical summability (C, 1) has recently been introduced by Moricz (2002). In this paper, we use this notion of summability to prove the Korovkin type approximation theorem for functions of two variables. Finally we construct an example by Bleimann, Butzer and Hahn operators to sho...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Universidade Estadual de Maringá
2015-05-01
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| Series: | Acta Scientiarum: Technology |
| Subjects: | |
| Online Access: | http://186.233.154.254/ojs/index.php/ActaSciTechnol/article/view/17300 |
| _version_ | 1818393029385388032 |
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| author | Mohammad Mursaleen Syed Abdul Mohiuddine |
| author_facet | Mohammad Mursaleen Syed Abdul Mohiuddine |
| author_sort | Mohammad Mursaleen |
| collection | DOAJ |
| description | The concept of statistical summability (C, 1) has recently been introduced by Moricz (2002). In this paper, we use this notion of summability to prove the Korovkin type approximation theorem for functions of two variables. Finally we construct an example by Bleimann, Butzer and Hahn operators to show that our result is stronger than those of previously proved by other authors for ordinary convergence and statistical convergence. |
| first_indexed | 2024-12-14T05:38:49Z |
| format | Article |
| id | doaj.art-577bbe5882484a37a8f1b012127a4646 |
| institution | Directory Open Access Journal |
| issn | 1806-2563 1807-8664 |
| language | English |
| last_indexed | 2024-12-14T05:38:49Z |
| publishDate | 2015-05-01 |
| publisher | Universidade Estadual de Maringá |
| record_format | Article |
| series | Acta Scientiarum: Technology |
| spelling | doaj.art-577bbe5882484a37a8f1b012127a46462022-12-21T23:15:05ZengUniversidade Estadual de MaringáActa Scientiarum: Technology1806-25631807-86642015-05-0137223724310.4025/actascitechnol.v37i2.1730012185<b>Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1)Mohammad Mursaleen0Syed Abdul Mohiuddine1King Abdulaziz UniversityKing Abdulaziz UniversityThe concept of statistical summability (C, 1) has recently been introduced by Moricz (2002). In this paper, we use this notion of summability to prove the Korovkin type approximation theorem for functions of two variables. Finally we construct an example by Bleimann, Butzer and Hahn operators to show that our result is stronger than those of previously proved by other authors for ordinary convergence and statistical convergence.http://186.233.154.254/ojs/index.php/ActaSciTechnol/article/view/17300statistical convergenceA–statistical convergencestatistical A–summabilitystatistical summability (C, 1)positive linear operatorKorovkin type approximation theorem. |
| spellingShingle | Mohammad Mursaleen Syed Abdul Mohiuddine <b>Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1) Acta Scientiarum: Technology statistical convergence A–statistical convergence statistical A–summability statistical summability (C, 1) positive linear operator Korovkin type approximation theorem. |
| title | <b>Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1) |
| title_full | <b>Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1) |
| title_fullStr | <b>Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1) |
| title_full_unstemmed | <b>Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1) |
| title_short | <b>Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1) |
| title_sort | b korovkin type approximation theorem for functions of two variables via statistical summability c 1 |
| topic | statistical convergence A–statistical convergence statistical A–summability statistical summability (C, 1) positive linear operator Korovkin type approximation theorem. |
| url | http://186.233.154.254/ojs/index.php/ActaSciTechnol/article/view/17300 |
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