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In this short note an addition to the paper [A.G. Bratsos, M. Ehrhardt, I.Th. Famelis, A discrete Adomian decomposition method for discrete nonlinear Schrödinger equations, Appl. Math. Comput. 197(1) (2008) 190-205] using the modulus of the terms evaluated from the Adomian decomposition method on p. 194 and their relation to the convergence of the resulting series is presented. Conclusions for the accuracy of the approximated solution are derived.  相似文献   

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In 1998 A. M. Bikchentaev conjectured that for positive ??-measurable operators a and b affiliated with a semifinite von Neumann algebra, the operator b 1/2 ab 1/2 is submajorized by the operator ab in the sense of Hardy-Littlewood. We prove this conjecture in its full generality and obtain a number of consequences for operator ideals, Golden-Thompson inequalities, and singular traces.  相似文献   

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设u(z)是单位圆内的实值调和函数 ,若 p_平均Mp(r ,u) =12π∫2π0|u(reiθ) |pdθ1 p <∞ ,则称u(z) ∈hp( 1

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