Modulus of smoothness and theorems concerning approximation on compact groups
We consider the generalized shift operator defined by (Shuf)(g)=∫Gf(tut−1g)dt on a compact group G, and by using this operator, we define spherical modulus of smoothness. So, we prove Stechkin and Jackson-type theorems.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203204269 |
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doaj-0456b4a62bf94a56b6727f0ff34499592020-11-24T22:00:26ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003201251126010.1155/S0161171203204269Modulus of smoothness and theorems concerning approximation on compact groupsH. Vaezi0S. F. Rzaev1Faculty of Mathematical Sciences, University of Tabriz, Tabriz, IranInstitute of Mathematics and Mechanics, Azerbaijan Academy of Sciences, Baku, AzerbaijanWe consider the generalized shift operator defined by (Shuf)(g)=∫Gf(tut−1g)dt on a compact group G, and by using this operator, we define spherical modulus of smoothness. So, we prove Stechkin and Jackson-type theorems.http://dx.doi.org/10.1155/S0161171203204269 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
H. Vaezi S. F. Rzaev |
| spellingShingle |
H. Vaezi S. F. Rzaev Modulus of smoothness and theorems concerning approximation on compact groups International Journal of Mathematics and Mathematical Sciences |
| author_facet |
H. Vaezi S. F. Rzaev |
| author_sort |
H. Vaezi |
| title |
Modulus of smoothness and theorems concerning approximation on compact groups |
| title_short |
Modulus of smoothness and theorems concerning approximation on compact groups |
| title_full |
Modulus of smoothness and theorems concerning approximation on compact groups |
| title_fullStr |
Modulus of smoothness and theorems concerning approximation on compact groups |
| title_full_unstemmed |
Modulus of smoothness and theorems concerning approximation on compact groups |
| title_sort |
modulus of smoothness and theorems concerning approximation on compact groups |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2003-01-01 |
| description |
We consider the generalized shift operator defined by (Shuf)(g)=∫Gf(tut−1g)dt on a compact group G, and by using this operator, we define spherical modulus of smoothness. So, we prove Stechkin and Jackson-type theorems. |
| url |
http://dx.doi.org/10.1155/S0161171203204269 |
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AT hvaezi modulusofsmoothnessandtheoremsconcerningapproximationoncompactgroups AT sfrzaev modulusofsmoothnessandtheoremsconcerningapproximationoncompactgroups |
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1725844510097801216 |