The Rate of Convergence of Lupas q-Analogue of the Bernstein Operators
We discuss the rate of convergence of the Lupas q-analogues of the Bernstein operators Rn,q(f;x) which were given by Lupas in 1987. We obtain the estimates for the rate of convergence of Rn,q(f) by the modulus of continuity of f, and show that the estimates are sharp in the sense of order for Lipsch...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/521709 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562592108773376 |
|---|---|
| author | Heping Wang Yanbo Zhang |
| author_facet | Heping Wang Yanbo Zhang |
| author_sort | Heping Wang |
| collection | DOAJ |
| description | We discuss the rate of convergence of the Lupas q-analogues of the Bernstein operators Rn,q(f;x) which were given by Lupas in 1987. We obtain the estimates for the rate of convergence of Rn,q(f) by the modulus of continuity of f, and show that the estimates are sharp in the sense of order for Lipschitz continuous functions. |
| format | Article |
| id | doaj-art-371bd8548e2e43db9a24b3cddd63c5a4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-371bd8548e2e43db9a24b3cddd63c5a42025-02-03T01:22:10ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/521709521709The Rate of Convergence of Lupas q-Analogue of the Bernstein OperatorsHeping Wang0Yanbo Zhang1School of Mathematical Sciences, BCMIIS, Capital Normal University, Beijing 100048, ChinaDepartment of Basic Courses, Shandong Modern Vocational College, Jinan, Shandong 250104, ChinaWe discuss the rate of convergence of the Lupas q-analogues of the Bernstein operators Rn,q(f;x) which were given by Lupas in 1987. We obtain the estimates for the rate of convergence of Rn,q(f) by the modulus of continuity of f, and show that the estimates are sharp in the sense of order for Lipschitz continuous functions.http://dx.doi.org/10.1155/2014/521709 |
| spellingShingle | Heping Wang Yanbo Zhang The Rate of Convergence of Lupas q-Analogue of the Bernstein Operators Abstract and Applied Analysis |
| title | The Rate of Convergence of Lupas q-Analogue of the Bernstein Operators |
| title_full | The Rate of Convergence of Lupas q-Analogue of the Bernstein Operators |
| title_fullStr | The Rate of Convergence of Lupas q-Analogue of the Bernstein Operators |
| title_full_unstemmed | The Rate of Convergence of Lupas q-Analogue of the Bernstein Operators |
| title_short | The Rate of Convergence of Lupas q-Analogue of the Bernstein Operators |
| title_sort | rate of convergence of lupas q analogue of the bernstein operators |
| url | http://dx.doi.org/10.1155/2014/521709 |
| work_keys_str_mv | AT hepingwang therateofconvergenceoflupasqanalogueofthebernsteinoperators AT yanbozhang therateofconvergenceoflupasqanalogueofthebernsteinoperators AT hepingwang rateofconvergenceoflupasqanalogueofthebernsteinoperators AT yanbozhang rateofconvergenceoflupasqanalogueofthebernsteinoperators |