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Smoothness of Extremizers of a Convolution Inequality
Extremizers Euler-Lagrange equation smoothness multilinear bounds
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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
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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
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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...
Characterization of smoothness of multivariate refinable functions and convergence algorithms of nonhomogeneous refinement equations
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2007/7/28
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...