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Remark 1.1 Note that (a) a convergent sequence is also σ-convergent; (b) a σ-convergent sequence implies ( C, 1 ) convergence. . a convergent sequence is also σ-convergent; a σ-convergent sequence implies ( C, 1 ) convergence.
Corollary 1 (Convergence results).
Figure 1 Convergence history for Eq. (12).
Figure 1 Convergence behavior of the proposed CG algorithm.
Almost sure (with probability 1) convergence of the closed-loop system to the desired target is ensured.
Figure 1 Convergence of channel estimation, QPSK, Nf d T s = 0.075.
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The convergence of (f_{n} omega)) to a constant in a sense ((L_{1}) convergence, convergence in probability, a.e.
We demonstrate optimal O hp+1) convergence rates in the L1 norm for up to polynomial order p= 6 and show that accurate solutions can be obtained on extremely coarse meshes.
Namely, the Lebesgue inequality indicates that for the interpolation of a fixed function f on ([ - 1, 1]), convergence can be expected only if f is smooth enough such that (Vert f-p_{n}^ Vert _{infty} ) decreases, as (ntoinfty), faster than (Lambda_{n} ) increases.
Lemma 2.4 (convergence).
Figure 6 Convergence results.
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