Modulus of smoothness and theorems concerning approximation on compact groups
H. Vaezi1and S. F. Rzaev2
Received03 Apr 2002
Abstract
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.