Approximation for a generalization of Bernstein operators
Abstract In this paper, we give a direct approximation theorem, inverse theorem, and equivalent theorem for a generalization of Bernstein operators in the space L p [ 0 , 1 ] $L_{p}[0,1]$ ( 1 ≤ p ≤ ∞ $1\leq p \leq\infty$ ).
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2016-08-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-016-1147-4 |
| _version_ | 1818872642814345216 |
|---|---|
| author | Guofen Liu Xiuzhong Yang |
| author_facet | Guofen Liu Xiuzhong Yang |
| author_sort | Guofen Liu |
| collection | DOAJ |
| description | Abstract In this paper, we give a direct approximation theorem, inverse theorem, and equivalent theorem for a generalization of Bernstein operators in the space L p [ 0 , 1 ] $L_{p}[0,1]$ ( 1 ≤ p ≤ ∞ $1\leq p \leq\infty$ ). |
| first_indexed | 2024-12-19T12:42:04Z |
| format | Article |
| id | doaj.art-372dee1e29414ff28f07bff403a9ebdf |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-19T12:42:04Z |
| publishDate | 2016-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-372dee1e29414ff28f07bff403a9ebdf2022-12-21T20:20:56ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-08-012016111010.1186/s13660-016-1147-4Approximation for a generalization of Bernstein operatorsGuofen Liu0Xiuzhong Yang1College of Mathematics and Information Science, Hebei Normal UniversityCollege of Mathematics and Information Science, Hebei Normal UniversityAbstract In this paper, we give a direct approximation theorem, inverse theorem, and equivalent theorem for a generalization of Bernstein operators in the space L p [ 0 , 1 ] $L_{p}[0,1]$ ( 1 ≤ p ≤ ∞ $1\leq p \leq\infty$ ).http://link.springer.com/article/10.1186/s13660-016-1147-4generalized Bernstein-Kantorovich operatorsmodulus of smoothnessK-functionalequivalent approximation theorem |
| spellingShingle | Guofen Liu Xiuzhong Yang Approximation for a generalization of Bernstein operators Journal of Inequalities and Applications generalized Bernstein-Kantorovich operators modulus of smoothness K-functional equivalent approximation theorem |
| title | Approximation for a generalization of Bernstein operators |
| title_full | Approximation for a generalization of Bernstein operators |
| title_fullStr | Approximation for a generalization of Bernstein operators |
| title_full_unstemmed | Approximation for a generalization of Bernstein operators |
| title_short | Approximation for a generalization of Bernstein operators |
| title_sort | approximation for a generalization of bernstein operators |
| topic | generalized Bernstein-Kantorovich operators modulus of smoothness K-functional equivalent approximation theorem |
| url | http://link.springer.com/article/10.1186/s13660-016-1147-4 |
| work_keys_str_mv | AT guofenliu approximationforageneralizationofbernsteinoperators AT xiuzhongyang approximationforageneralizationofbernsteinoperators |