Majorization Theory
Transceiver Designs and Analysis for LTI, LTV and Broadcast Channels New Matrix Decompositions and Majorization Theory
... the majorization theory and used it to develop a unifying framework for MIMO linear transceiver designs ...optimization theory, in which a great number of interesting design criteria can be easily ...
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Extremal trees with respect to some versions of Zagreb indices via majorization
... This paper is an attempt to investigate into the first general Zagreb index and the multiplicative Zagreb indices of trees via applying a new graph operation plus majorization theory, in particular, ...
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Power allocation for maximizing the MAC capacity via majorization
... via majorization theory, where the proof procedure can be adapted to a great number of design criteria, as long as their objective functions are Schur-concave or Schur-convex ...
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Generalizations of Sherman’s inequality by Lidstone’s interpolating polynomial
... In majorization theory, the well-known majorization theorem plays a very important role. A more general result was obtained by Sherman. In this paper, concerning 2n-convex functions, we get ...
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The Roles of Majorization and Generalized Triangular Decomposition in Communication and Signal Processing
... The second part of the thesis focuses on signal processing algorithms for data compressions and filter bank designs. We revisit the classical transform coding problem (for optimizing the theoretical coding gain in the ...
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Discrete majorization type inequalities for convex functions on rectangles
... Majorization is a partial order relation between the vectors, which precisely defines the vague notion that the components of one vector are “less spread out” or “more nearly equal” than the components of another ...
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On the Existence and Uniqueness of Holder Solutions of Nonlinear Singular Integral Equations with Carleman Shift
... the theory of singular integral equations (SIE) naturally stimulated the study of singular integral equations with shift ...The theory of SIES is an important part of integral equations because of its ...
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Majorization Inequalities via Peano's Representation of Hermite's Polynomial
... At the end, note that it is not necessary to demand the existence of the second derivative of the function f ( [12], p.172). The differentiability condition can be directly eliminated by using the fact that it is ...
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Jensen Type Inequalities Involving Homogeneous Polynomials
... In this paper, by means of algebraic, analytical, and majorization theories, and under the proper hypotheses, we will establish several Jensen type inequalities involving γth homogeneous[r] ...
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SECURE ROUTING IN MANET USING ASYMMETRIC GRAPHS
... In this paper, Simulation Service Management Bus (SSMB) is proposed to intergrade and reuse the simulation service resource in Service Oriented Run-time Infrastructure (SORTI). Its functions include integration service, ...
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Quantum majorization and a complete set of entropic conditions for quantum thermodynamics
... of majorization for quantum processes, found a necessary and sufficient condition for this notion of majorization in terms of entropic quantities, and demonstrated some of its applications in the context of ...
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Majorization for Certain Classes of Analytic Functions Defined by a Generalized Operator
... S˘ al˘ agean, Subclasses of univalent functions, in Complex analysis—fifth Romanian- Finnish seminar, Part 1 (Bucharest) , 362–372 Lecture Notes in Math., 1013, Springer, Berlin. Selvaku[r] ...
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Positive Semidefinite Matrices, Exponential Convexity for Majorization, and Related Cauchy Means
... from majorization-type results which implies exponential convexity and log-convexity of these differences and also obtain Lyapunov’s and Dresher’s inequalities for these ...
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On Schur Convexity of Some Symmetric Functions
... Lv, “The Schur harmonic convexity of the Hamy symmetric function and its applications,” Journal of Inequalities and Applications, vol.. Olkin, Inequalities: Theory of Majorization and It[r] ...
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Bounds for the global cyclicity index of a general network via weighted majorization
... the majorization technique discussed in [–] and [] significant bounds have been obtained by the authors for the Kirchhoff index as well as for some of its gen- eralizations like the additive/multiplicative ...
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A context based elderly care theory: a grounded theory approach
... substantive theory on elderly care known as the Elderly Care Theory that defined what and how elderly caring is based on Filipino context of ...grounded theory with ten care providers interviewed and ...
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Rubber bands, pursuit games and shy couplings
... In the context of stochastic calculus, a pair of processes X and X e is said to form a co-adapted coupling if they can be defined by strong solutions of stochastic differential equations driven by B, B e respectively. ...
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Sherman’s and related inequalities with applications in information theory
... In this paper we have given generalized results for Sherman’s inequality by considering the class of convex functions of higher order. We obtained an extended weighted majorization inequality as well as Jensen’s ...
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Majorization problems for two subclasses of analytic functions connected with the Liu–Owa integral operator and exponential function
... lated to an exponential function. The results obtained generalize and unify the theory of majorization in geometric function theory. In addition, we notice that, if we put p = 1 and α = 1, β = δ in ...
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n-Exponential convexity for Favard's and Berwald's inequalities and their applications
... holds for every α , β ∈ R and x, y ∈ [a, b]. It follows that a function is log-convex in the Jensen- sense if and only if it is 2-exponentially convex in the Jensen sense. Also, using basic convexity theory it ...
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