首页|Jackson-type inequalities on high-dimensional spheres
Jackson-type inequalities on high-dimensional spheres
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
万方数据
We study Jackson's inequality on high-dimensional spheres with respect to the modulus of smoothness defined via the rotation group.We obtain a version of Jackson's inequality with a dimension-free constant,extending Newman and Shapiro's well-known results in 1964 from the case of r=1 and p=∞ to more general cases.Our results partially overcome the curse of dimensionality.We also establish similar results on the equivalence of the K-functional and modulus of smoothness.
modulus of smoothnessK-functionalJackson's inequalityhigh-dimensional approximation
Yeli Niu、Feng Dai
展开 >
Department of Mathematics,Shanghai Normal University,Shanghai 200234,China
Department of Mathematical and Statistical Sciences,University of Alberta,Edmonton,AB T6G2G1,Canada
万方数据
