Báo cáo hóa học: "Research Article Exact Values of Bernstein n-Widths for Some Classes of Periodic Functions with Formal " docx
Báo cáo hóa học: " Research Article Exact Values of Bernstein n-Widths for Some Classes of Convolution Functions" doc
... CorporationJournal of Inequalities and ApplicationsVolume 2008, Article ID 451815, 11 pagesdoi:10.1155/2008/451815Research 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. R. Chen, “On the n-widths of some classes of periodic functions, ” ... b2n−1Kp,Lp for 1 <p<∞. In this paper, we will determine the exact constants of some classes of periodic convolution functions Bp with B-kernel or NCVD-kernel for p ∈ 1, ∞,...
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Báo cáo hóa học: "Research Article Exact Values of Bernstein n-Widths for Some Classes of Periodic Functions with Formal " docx
... ApplicationsVolume 2008, Article ID 894529, 8 pagesdoi:10.1155/2008/894529Research Article Exact Values of Bernstein n-Widths for Some Classes of Periodic Functions with Formal Self-Adjoint Linear ... 1.4where 1 ≤ p ≤∞.In this paper, we will determine the exact values of Bernstein n-width of some classes of periodic functions with formal self-adjoint linear differential operators WpLr, ... values of Bernstein widths of Sobolev classes of periodic functions, ” Matematicheskie Zametki, vol. 58, no. 1, pp. 139–143, 1995 Russian.5 S. I. Novikov, Exact values of widths for some classes...
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Báo cáo hóa học: " Research Article Optimal Nonparametric Covariance Function Estimation for Any Family of Nonstationary Random Processes" pot
... remarkably well for everymember 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 thefamily of random processes”) is a fixed subset of RL,forsomefixed integer L.Forafixedq∈ Q, we think of {xq(t), t ∈ Z}as a random process in ... close to optimal for all members of the family. Moreover, the resulting kernels are often robustin the sense that they also work well for nonmembers of thefamily.AppendixProof of Theorem 1We...
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Báo cáo hóa học: "Research Article Multiplicity Results Using Bifurcation Techniques for a Class of Fourth-Order m-Point Boundary Value Problems" docx
... ξm,zm ∈ Dk with zm→ v ≡ 0asm → ∞. This together with H1guarantee that ξm,zm satisfies 3.14.As in the proof of Lemma 3.4, we may assume without loss of generality thatzm/zm1→ ... characteristic value of L,letv denote the eigenvector of L correspondingto μ normalized so v 1. By Σwe denote the closure of the set of nontrivial solutions of 1.7. A component of Σ is a maximal ... λ, −v, v/ 0.Therefore alternative i of Lemma 1.1 holds. This implies that for each integer k ∈ Nand each ν ,or−, there exists a continua Cνk of solutions of 3.1λ in Φνk∪{λk,...
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Báo cáo hoa học: " Research Article Necessary and Sufficient Conditions for the Existence of Positive Solution for Singular Boundary Value Problems on Time Scales" pot
... Difference EquationsVolume 2009, Article ID 737461, 14 pagesdoi:10.1155/2009/737461Research Article Necessary and Sufficient Conditions for the Existence of Positive Solution for Singular Boundary Value ... existence of positive solutions toboundary value problems for differential equations on time scales; see, for example, 1–22. This has been mainly due to its unification of the theory of differential ... Existence of Positive Solution to 1.1–1.3Now we deal with problem 1.1–1.3. The method is just similar to what we have done inSection 3, so we omit the proof of main result of this section.LetG1t,...
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Báo cáo hóa học: " Research Article An Efficient Watermarking Technique for the Protection of Fingerprint Image" doc
... University of Belfast, Belfast BT7 1NN,Northern Ireland, UK2Department 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 imagesDB1, the proposed technique outperforms the conventionalone for both the DCT ... can be seen, for images form DB2and DB3, the BER is lower for the proposed technique thanthat for the conventional one in the case of small number of bits. However, as the number of bits becomes...
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Báo cáo hóa học: "Research Article An Image Content Description Technique for the Inspection of Specular Object" ppt
... selection of the most appropriate feature sets for the characterization of vertical stripe structures. For the purpose of optimizing the retrieval of the mostappropriate features for stripe ... terms of the adapted image areas, the values of set a2are defined asthe complementary values of a1. With respect to the fixedimage areas, the values of both sets are identical. These setsare ... are part of the “transform”methods within the field of textural analysis. For our purposes, four geometry- and two statistic-basedfeatures proposed by [24] for the characterization of brightstripe...
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Báo cáo hóa học: " Research Article Hilbert’s Type Linear Operator and Some Extensions of Hilbert’s Inequality" docx
... norm of some Hilbert’sty pe linear operators.ThemainpurposeofthisarticleistostudythenormofaHilbert’stypelinearoperator with the kernel Amin{x, y}+ B max{x, y} andgivesomenewgeneralizationsofHilbert’sinequality. ... inequality, we obtain (2.6). For ε>0sufficiently small, set fε(x) = x(−1−ε)/2,forx ∈ [1,∞); fε(x) = 0, for x ∈ (0,1).Then gε(y) = y(−1−ε)/2,fory ∈ [1,∞); gε(y) = 0, for y ∈ (0,1). Assume ... Inequalities and ApplicationsVolume 2007, Article ID 82138, 10 pagesdoi:10.1155/2007/82138Research Article Hilbert’s Type Linear Operator and Some Extensions of Hilbert’s InequalityYongjin Li, Zhiping...
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Báo cáo hóa học: " Research Article Hilbert’s Type Linear Operator and Some Extensions of Hilbert’s Inequality" doc
... norm of some Hilbert’sty pe linear operators.ThemainpurposeofthisarticleistostudythenormofaHilbert’stypelinearoperator with the kernel Amin{x, y}+ B max{x, y} andgivesomenewgeneralizationsofHilbert’sinequality. ... inequality, we obtain (2.6). For ε>0sufficiently small, set fε(x) = x(−1−ε)/2,forx ∈ [1,∞); fε(x) = 0, for x ∈ (0,1).Then gε(y) = y(−1−ε)/2,fory ∈ [1,∞); gε(y) = 0, for y ∈ (0,1). Assume ... CorporationJournal of Inequalities and ApplicationsVolume 2007, Article ID 82138, 10 pagesdoi:10.1155/2007/82138Research Article Hilbert’s Type Linear Operator and Some Extensions of Hilbert’s InequalityYongjin...
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Báo cáo hóa học: " Research Article On the Kneser-Type Solutions for Two-Dimensional Linear Differential Systems with Deviating Arguments" potx
... implied the existence of the Kneser-type solution for thenoted above scalar homogeneous equation of the second order. Note one of our resultsobtained for the system (1.3) with constant coefficients ... ≤γτ(t)r2γτ(t)r1−r2u1τ(t)=γτ(t)r1u1τ(t). (3.11)Therefore, according to the first condition of (3.7), (3.2) holds. Consequently, functions ϕ and ψ satisfied the condition of Lemma 3.1. Therefore there exists a sequence{tk} ... ≥tth1−k(s,0)qσ(s)σ(s)dstth1−k(s,0)qσ(s)σ(s)ds×hk−1t,0ht,τσ(t)≥c216hk−1t,0ht,τσ(t).(2.30)22 Journal of Inequalities and ApplicationsReferences[1] T. A. Chanturiya, “Specific conditions for the oscillation of solutions of linear differential equa-tions with retarded argument,”...
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