نتایج جستجو برای: dual seminorm
تعداد نتایج: 156150 فیلتر نتایج به سال:
We prove that the exponent of the entropy of one dimensional projections of a log-concave random vector defines a 1/5-seminorm. We make two conjectures concerning reverse entropy power inequalities in the log-concave setting and discuss some examples. 2010 Mathematics Subject Classification. Primary 94A17; Secondary 52A40, 60E15.
In an earlier paper [SIAM J. Matrix Anal. Appl. vol. 30 (2008), 925–938] we gave sufficient conditions in terms of an energy seminorm for the convergence of stationary iterations for solving linear systems whose coefficient matrix is Hermitian and positive semidefinite. In this paper we show in which cases these conditions are also necessary, and show that they are not necessary in others.
In this paper Tikhonov regularization for nonlinear illposed problems is investigated. The regularization term is characterized by a closed linear operator, permitting seminorm regularization in applications. Results for existence, stability, convergence and convergence rates of the solution of the regularized problem in terms of the noise level are given. An illustrating example involving para...
We examine a cell-vertex finite volume method which is applied to a model parabolic convection-diffusion problem. By using techniques from finite element analysis, local errors away from all layers are obtained in a seminorm that is related to, but weaker than, the L2 norm.
We show that the minimal discrepancy of a point set in d-dimensional unit cube with respect to BMO seminorm suffers from curse dimensionality.
• W1: Wasserstein-1-distance (see below). • TVW1: Our proposed total variation seminorm for ODF-valued functions (see below). Figure: Q-ball image of the corpus callosum, reconstructed from HARDI data of the human brain, (left) with added white Gaussian noise and (right) our Wasserstein-TV-based reconstruction using a Wasserstein data term. The noise is reduced substantially, while regions with...
Abstract. We prove a BV estimate for scalar conservation laws that generalizes the classical Total Variation Diminishing property. In fact, for any smooth function Φ, we have that Φ(u) is TVD with the correct definition of the initial seminorm. We call this property Total Oscillation Diminishing. The reason being that it is in contradiction with the oscillations observed recently on some numeri...
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