A generalization of Szász-type operators which preserves constant and quadratic test functions
In the present article, we introduced a new form of Szász-type operators which preserves test functions $ e_0 $ and $ e_2 $$ (e_i(t)=t^i, \, i=0,2) $. By these sequence of positive linear operators, we gave rate of convergence and better error estimation by means of modulus of continuity. Moreover,...
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Taylor & Francis Group
2016-12-01
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| Series: | Cogent Mathematics |
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| Online Access: | http://dx.doi.org/10.1080/23311835.2016.1227023 |
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doaj-e18971b8b4cc4ac0801e526e3c50e7792020-11-25T01:11:58ZengTaylor & Francis GroupCogent Mathematics2331-18352016-12-013110.1080/23311835.2016.12270231227023A generalization of Szász-type operators which preserves constant and quadratic test functionsAbdul Wafi0Nadeem Rao1Jamia Millia IslamiaJamia Millia IslamiaIn the present article, we introduced a new form of Szász-type operators which preserves test functions $ e_0 $ and $ e_2 $$ (e_i(t)=t^i, \, i=0,2) $. By these sequence of positive linear operators, we gave rate of convergence and better error estimation by means of modulus of continuity. Moreover, we have discussed order of approximation with the help of local results. In the last, weighted Korovkin theorem is established.http://dx.doi.org/10.1080/23311835.2016.1227023Szász operatorspositive linear operatorsmodulus of continuityPeetre’s K-functional |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Abdul Wafi Nadeem Rao |
| spellingShingle |
Abdul Wafi Nadeem Rao A generalization of Szász-type operators which preserves constant and quadratic test functions Cogent Mathematics Szász operators positive linear operators modulus of continuity Peetre’s K-functional |
| author_facet |
Abdul Wafi Nadeem Rao |
| author_sort |
Abdul Wafi |
| title |
A generalization of Szász-type operators which preserves constant and quadratic test functions |
| title_short |
A generalization of Szász-type operators which preserves constant and quadratic test functions |
| title_full |
A generalization of Szász-type operators which preserves constant and quadratic test functions |
| title_fullStr |
A generalization of Szász-type operators which preserves constant and quadratic test functions |
| title_full_unstemmed |
A generalization of Szász-type operators which preserves constant and quadratic test functions |
| title_sort |
generalization of szász-type operators which preserves constant and quadratic test functions |
| publisher |
Taylor & Francis Group |
| series |
Cogent Mathematics |
| issn |
2331-1835 |
| publishDate |
2016-12-01 |
| description |
In the present article, we introduced a new form of Szász-type operators which preserves test functions $ e_0 $ and $ e_2 $$ (e_i(t)=t^i, \, i=0,2) $. By these sequence of positive linear operators, we gave rate of convergence and better error estimation by means of modulus of continuity. Moreover, we have discussed order of approximation with the help of local results. In the last, weighted Korovkin theorem is established. |
| topic |
Szász operators positive linear operators modulus of continuity Peetre’s K-functional |
| url |
http://dx.doi.org/10.1080/23311835.2016.1227023 |
| work_keys_str_mv |
AT abdulwafi ageneralizationofszasztypeoperatorswhichpreservesconstantandquadratictestfunctions AT nadeemrao ageneralizationofszasztypeoperatorswhichpreservesconstantandquadratictestfunctions AT abdulwafi generalizationofszasztypeoperatorswhichpreservesconstantandquadratictestfunctions AT nadeemrao generalizationofszasztypeoperatorswhichpreservesconstantandquadratictestfunctions |
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