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Smoothness of Extremizers of a Convolution Inequality
Extremizers Euler-Lagrange equation smoothness multilinear bounds
2011/2/28
Let d ≥ 2 and T be the convolution operator T f(x) = R Rd−1 f(x′ − t, xd − |t|2) dt, which is is bounded from L(d+1)/d(Rd) to Ld+1(Rd). We show that any critical point f ∈ L(d+1)/d o...
Implicit iteration methods in Hilbert scales under general smoothness conditions
Ill-posed problems inverse problems regularization Hilbert scales
2010/12/9
For solving linear ill-posed problems regularization methods are required when the right hand side is with some noise. In the present paper regularized solutions are obtained by implicit iteration met...
B-spline quasi-interpolant representations and sampling recovery of functions with mixed smoothness
Linear sampling algorithm Quasi-interpolant Quasi-interpolant representation
2010/12/10
Let = {xj}n j =1 be a grid of n points in the d-cube Id := [0, 1]d, and = {'j}n j=1 a family of n functions on Id. We define the linear sampling algorithm Ln(, , ·) for an approximate recovery o...
专著信息
书名
Characterization of smoothness of multivariate refinable functions and convergence algorithms of nonhomogeneous refinement equations
语种
英文
撰写或编译
作者
李松
第一作者单位
出版社
Advance in computational mathe...