摘要
In this article,we study multivariate approximation defined over weighted anisotropic Sobolev spaces which depend on two sequences a={a j}j≥1 and b={b j}j≥1 of positive numbers.We obtain strong equivalences of the approximation numbers,and necessary and sufficient conditions on a,b to achieve various notions of tractability of the weighted anisotropic Sobolev embeddings.
作者
Jidong HAO
Heping WANG
郝季东;汪和平(School of Mathematical Sciences,Capital Normal University,Beijing 100048,China)
基金
the National Natural Science Foundation of China(11671271)
the Natural Science Foundation of Beijing Municipality(1172004).
