3 citations · 4 across the 7 of their papers we have counts for
7 papers
Spectral properties of a class of Sierpinski-type Moran measures on
Jia Long Chen, Xiao-Yu Yan
Let the infinite convolutions \begin{equation*} μ_{\{R_{k}\},\{D_{k}\}}=δ_{R_{1}^{-1}D_{1}}*δ_{R_{1}^{-1}R_{2}^{-1}D_{2}}*δ_{R_{1}^{-1}R_{2}^{-1}R_{3}^{-1}D_{3}}*\dotsi \end{equati…
Worst case tractability of -approximation for weighted Korobov spaces
Huichao Yan, Jia Chen
We study -approximation problems in the worst case setting in the weighted Korobov spaces $H_{d,\a,{\bm \ga}}$ with parameter sequences ${\bm \ga}=\{\ga_j\}$ an…
Average case tractability of additive random fields with Korobov kernels
Jia Chen, Heping Wang
We investigate average case tractability of approximation of additive random fields with marginal random processes corresponding to the Korobov kernels for the non-homogeneous case…
Average Case -weak tractability of non-homogenous tensor product problems
Jia Chen, Heping Wang, Jie Zhang
We study -variate problem in the average case setting with respect to a zero-mean Gaussian measure. The covariance kernel of this Gaussian measure is a product of univariate ker…
Average Case tractability of multivariate approximation with Gaussian kernels
Jia Chen, Heping Wang
We study the problem of approximating functions of variables in the average case setting for the space with the standard Gaussian weight equipped with a zero-me…
Approximation numbers of Sobolev and Gevrey type embeddings on the sphere and on the ball -- Preasymptotics, asymptotics, and tractability
Jia Chen, Heping Wang
In this paper, we investigate optimal linear approximations (-approximation numbers ) of the embeddings from the Sobolev spaces for various equivalent norms and the…