báo cáo hóa học:" Research Article New Inequalities and Uncertainty Relations on Linear Canonical Transform Revisit" pdf

... filtering with linear canonical transformations,” Optics Communica- tions, vol. 135, no. 1–3, pp. 32–36, 1997. [26] S C. Pei and J J. Ding, Relations between fractional oper- ations and time-frequency ... Moshinsky and C. Quesne, Linear canonical transforma- tions and their unitary representation,” Journal of Mathemati- cal Physics, vol. 12, no. 8, pp. 1772–1783, 1971. [24] X....

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... 2007 L. Zhongxue and X. Hongzheng. This is an open access article distrib- uted under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any ... G.H.Hardy,J.E.Littlewood,andG.P ´ olya, Inequalities, Cambridge University Press, London, UK, 2nd edition, 1952. [2] M. Gao, On Hilbert’s inequality and its applications,” Journal of...

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... and only if a ≥ 2 and b ≤ 2/π − 2. Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2008, Article ID 368275, 5 pages doi:10.1155/2008/368275 Research Article New ... “Asymptotic expansions and inequalities for hypergeometric functions,” Mathematika, vol. 44, no. 2, pp. 278–301, 1997. 11 H. Alzer and S L. Qiu, “Monotonicity theorems and...

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... Corporation Journal of Inequalities and Applications Volume 2007, Article ID 26249, 17 pages doi:10.1155/2007/26249 Research Article New Inequalities on Fractal Analysis and Their Applications Der-Chen ... measure, Hausdorff dimension, packing measure, packing dimension, Minkowski contents, box dimensions, and mod- ified box dimensions. Let U be a nonempty subset of R n . As...

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... Corporation Fixed Point Theory and Applications Volume 2010, Article ID 241908, 12 pages doi:10.1155/2010/241908 Research Article Trace -Inequalities and Matrix-Convex Functions Tsuyoshi Ando Hokkaido ... Fixed Point Theory and Applications and, further when ft is a C 2 -function, by the condition on the second derivative f   b  ≥ 0  α<b<β  . 1.4 On the other...

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... displacement, θ 1 and θ 3 are the temperature deviations from the T 0 along the longitudinal and vertical directions, E, G, ρ, I, m, k, h,andc are positive constants for the elastic and thermal material ... Applied Mathematics and Optimization, vol. 46, no. 2-3, pp. 179–206, 2002. 14 I. Chueshov and I. Lasiecka, “Long-time behavior of second order evolution equations with nonlinea...

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... bi-iteration. PROTEUS and PC are the algorithms developed by Cham- pagne and Liu [15, 16] and are based on perturbation theory. NIC is based on a novel information criterion proposed by Miao and Hua [12]. API and ... subsection, we have used the Monte Carlo simulation and the number of simulation runs used for obtaining each point is equal to 100. The only exceptions are Secti...

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... joint-distributed encryption and compression: (a) compression/encryption (b) decompres- sion/decryption. HDSE stands for high-diffusion syndrome decoding, and represents multiplication with the HD parity ... in the sequel that the conditional entropy H(X | Y)ispreserved under linear or nonlinear mapping as long as the mapping is one on one. Lemma 2. Let the random variables X and Y a...

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... Let A ∈ R,K: Z  →R,g: Z  →R ,and ∈ S be given. Then α Condition (A) holds if and only if condition (B) is satisfied. β If condition (A) or equivalently condition (B) holds, moreover ∞  i0 λ −i 0  −1  j−∞ Ki ... article analyses the asymptotic behaviour of solutions of linear Volterra difference equations. Some sufficient conditions are presented under which the solutions to a ge...

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... “Generalization of a retarded Gronwall-like inequality and its applications,” Applied Mathematics and Computation, vol. 165, no. 3, pp. 599–612, 2005. [2] W. S. Cheung, “Some new nonlinear inequalities and ... (2.13) 2 Journal of Inequalities and Applications Theorem 1.1. Let u(t) be nonnegative continuous function in J = [α, β] and let a(t) be positive nondecreasing continuou...

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