Fibonacci statistical convergence and Korovkin type approximation theorems
Abstract The purpose of this paper is twofold. First, the definition of new statistical convergence with Fibonacci sequence is given and some fundamental properties of statistical convergence are examined. Second, we provide various approximation results concerning the classical Korovkin theorem via...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-09-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-017-1503-z |
| _version_ | 1818383410751602688 |
|---|---|
| author | Murat Kirişci Ali Karaisa |
| author_facet | Murat Kirişci Ali Karaisa |
| author_sort | Murat Kirişci |
| collection | DOAJ |
| description | Abstract The purpose of this paper is twofold. First, the definition of new statistical convergence with Fibonacci sequence is given and some fundamental properties of statistical convergence are examined. Second, we provide various approximation results concerning the classical Korovkin theorem via Fibonacci type statistical convergence. |
| first_indexed | 2024-12-14T03:05:56Z |
| format | Article |
| id | doaj.art-c8005543d2f54e4fa448a2c78498492e |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-14T03:05:56Z |
| publishDate | 2017-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-c8005543d2f54e4fa448a2c78498492e2022-12-21T23:19:23ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-09-012017111510.1186/s13660-017-1503-zFibonacci statistical convergence and Korovkin type approximation theoremsMurat Kirişci0Ali Karaisa1Department of Mathematical Education, Hasan Ali Yücel Education Faculty, Istanbul UniversityDepartment of Mathematica-Computer Science, Necmettin Erbakan UniversityAbstract The purpose of this paper is twofold. First, the definition of new statistical convergence with Fibonacci sequence is given and some fundamental properties of statistical convergence are examined. Second, we provide various approximation results concerning the classical Korovkin theorem via Fibonacci type statistical convergence.http://link.springer.com/article/10.1186/s13660-017-1503-zKorovkin type approximation theoremsstatistical convergenceFibonacci numbersFibonacci matrixpositive linear operatordensity |
| spellingShingle | Murat Kirişci Ali Karaisa Fibonacci statistical convergence and Korovkin type approximation theorems Journal of Inequalities and Applications Korovkin type approximation theorems statistical convergence Fibonacci numbers Fibonacci matrix positive linear operator density |
| title | Fibonacci statistical convergence and Korovkin type approximation theorems |
| title_full | Fibonacci statistical convergence and Korovkin type approximation theorems |
| title_fullStr | Fibonacci statistical convergence and Korovkin type approximation theorems |
| title_full_unstemmed | Fibonacci statistical convergence and Korovkin type approximation theorems |
| title_short | Fibonacci statistical convergence and Korovkin type approximation theorems |
| title_sort | fibonacci statistical convergence and korovkin type approximation theorems |
| topic | Korovkin type approximation theorems statistical convergence Fibonacci numbers Fibonacci matrix positive linear operator density |
| url | http://link.springer.com/article/10.1186/s13660-017-1503-z |
| work_keys_str_mv | AT muratkirisci fibonaccistatisticalconvergenceandkorovkintypeapproximationtheorems AT alikaraisa fibonaccistatisticalconvergenceandkorovkintypeapproximationtheorems |