Sentence examples for their regularization from inspiring English sources
Their regularization scheme leads to low SH orders having more weights than high SH orders.
The proof essentially uses D. Z. Arov′s concept of A-regular and A-singular j-inner matrix-functions and is based on an analysis of V. Katsnelson′s results on their regularization.
As a by-product, slice convergence for an arbitrary net of convex functions can be deduced from the pointwise convergence of their regularizations precisely when the w* and the norm topologies agree on the dual sphere.
In Tunisia, sub-Saharan African students face partly incompatible rules from different ministries that make their timely regularization almost impossible.
For a sequence or net of convex functions on a Banach space, we study pointwise convergence of their Lipschitz regularizations and convergence of their epigraphs.
For a sequence of convex functions on a separable Banach space we show that both pointwise convergence of their Lipschitz regularizations and Wijsman convergence of their epigraphs are equivalent to variants of two conditions used by Attouch and Beer to characterize slice convergence.
The results in this section concern uniform Gaussian estimates for the heat kernel of certain degenerate parabolic differential equations, and their parabolic regularizations.
Venezuela "will never accept interference of any kind in its internal affairs," the Foreign Ministry said in a statement, adding that it "considered terminated the process begun in the conversations in Guatemala that had as their goal the regularization of our diplomatic relations".
In this way, dry friction terms can be involved, after their Filippov's regularization, in some components of (F_{2}).
Here, we reformulate the inverse problem into a family of integral equations of the first kind and study their solution by regularization methods.
However, due to the use of a linear regularization, their stability is weaker than that of the commonly used von Schroeter et al.'s deconvolution algorithm in which a nonlinear regularization is used; the linear regularization can make the deconvolution algorithms less tolerant to data errors.
