Báo cáo hóa học: "Research Article Exact Values of Bernstein n-Widths for Some Classes of Periodic Functions with Formal " docx

... Corporation Journal of Inequalities and Applications Volume 2008, Article ID 451815, 11 pages doi:10.1155/2008/451815 Research Article Exact Values of Bernstein n-Widths for Some Classes of Convolution Functions Feng ... Bernstein widths for Sobolev classes of periodic functions, ” Matematicheskie Zametki, vol. 58, no. 1, pp. 139–143, 1995 Russian. 5 D...

Ngày tải lên: 22/06/2014, 03:20

... Applications Volume 2008, Article ID 894529, 8 pages doi:10.1155/2008/894529 Research Article Exact Values of Bernstein n-Widths for Some Classes of Periodic Functions with Formal Self-Adjoint Linear ... 1.4 where 1 ≤ p ≤∞. In this paper, we will determine the exact values of Bernstein n-width of some classes of periodic functions with fo...

Ngày tải lên: 22/06/2014, 03:20

... remarkably well for every member of the family, except when α is close to zero. In fact, for more than 50% of the members of this family, the use of the kernel function optimized for the whole ... (“time”) and q ∈ Q,whereQ (“parameter space for the family of random processes”) is a fixed subset of R L ,forsome fixed integer L.Forafixedq ∈ Q, we think of {x q (t), t ∈ Z} as...

Ngày tải lên: 21/06/2014, 07:20

... ξ m ,z m  ∈ D  k with z m → v ≡ 0asm → ∞. This together with H1 guarantee that ξ m ,z m  satisfies 3.14. As in the proof of Lemma 3.4, we may assume without loss of generality that z m /z m  1 → ... characteristic value of L,letv denote the eigenvector of L corresponding to μ normalized so v  1. By Σ we denote the closure of the set of nontrivial solutions of ...

Ngày tải lên: 21/06/2014, 20:20

... Difference Equations Volume 2009, Article ID 737461, 14 pages doi:10.1155/2009/737461 Research Article Necessary and Sufficient Conditions for the Existence of Positive Solution for Singular Boundary Value ... existence of positive solutions to boundary value problems for differential equations on time scales; see, for example, 1– 22. This has been mainly due to its unification...

Ngày tải lên: 21/06/2014, 20:20

... University of Belfast, Belfast BT7 1NN, Northern Ireland, UK 2 Department of Electronic Imaging and Media Communications (EIMC), School of Informatics, University of Bradford, Richmond Road, Bradford, ... domain. larger than that of the proposed technique, thus allowing for the decoding of the watermark with lower BERs. For images DB1, the proposed technique outperforms the...

Ngày tải lên: 22/06/2014, 00:20

... selection of the most appropriate feature sets for the characterization of vertical stripe structures. For the purpose of optimizing the retrieval of the most appropriate features for stripe ... terms of the adapted image areas, the values of set a 2 are defined as the complementary values of a 1 . With respect to the fixed image areas, the values of both sets are...

Ngày tải lên: 22/06/2014, 01:20

... norm of some Hilbert’s ty pe linear operators. ThemainpurposeofthisarticleistostudythenormofaHilbert’stypelinearoperator with the kernel Amin {x, y}+ B max{x, y} andgivesomenewgeneralizationsofHilbert’s inequality. ... inequality, we obtain (2.6). For ε>0sufficiently small, set f ε (x) = x (−1−ε)/2 ,forx ∈ [1,∞); f ε (x) = 0, for x ∈ (0,1). Then g ε (y) = y (−1−ε)/2 ,fory ∈ [1,∞);...

Ngày tải lên: 22/06/2014, 06:20

... norm of some Hilbert’s ty pe linear operators. ThemainpurposeofthisarticleistostudythenormofaHilbert’stypelinearoperator with the kernel Amin {x, y}+ B max{x, y} andgivesomenewgeneralizationsofHilbert’s inequality. ... inequality, we obtain (2.6). For ε>0sufficiently small, set f ε (x) = x (−1−ε)/2 ,forx ∈ [1,∞); f ε (x) = 0, for x ∈ (0,1). Then g ε (y) = y (−1−ε)/2 ,fory ∈ [1,∞);...

Ngày tải lên: 22/06/2014, 06:20

... implied the existence of the Kneser-type solution for the noted above scalar homogeneous equation of the second order. Note one of our results obtained for the system (1.3) with constant coefficients ... ≤  γ  τ(t)  r 2  γ  τ(t)  r 1 −r 2 u 1  τ(t)  =  γ  τ(t)  r 1 u 1  τ(t)  . (3.11) Therefore, according to the first condition of (3.7), (3.2) holds. Consequently,...

Ngày tải lên: 22/06/2014, 18:20