convex set
Martingales and Super Martingales Relative to a Convex Set of Equivalent Measures
... DOI: 10.4236/apm.2018.84025 429 Advances in Pure Mathematics are local regular ones. The last fact allowed us to describe the local regular su- per-martingales. It is proved that the existence of a nontrivial martingale ...
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fis convex if its epigraph is a convex set, andf is closed
... nondifferentiable convex functions. Lemma 1. Let f : S → R ∪ { } + ∞ be a convex function defined on a convex set S ⊆ R n , and x ′ ∈ int S ...
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Theorem 1. A real valued function on a convex set Kin RRRR is a convex function if
... Although a few complications arise, we can prove a corresponding Second Derivative Test for recognizing convex functions of finitely many (say n) variables. The first of these is standard in multivariable ...
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Super Resolution of an Image using Projection onto Convex Set Algorithm
... onto Convex Sets Super-resolution Image Reconstruction Based on Wavelet Bi-cubic Interpolation,” 2011 International Conference on Electronic & Mechanical Engineering and Information ...
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A composite model and convex set coding technique for time-varying images
... In particular the system presented here utilizes a mixed coder which combines interframe hybrid transform and pixel domain coding techniques for time-varying image sequences.. 2.2.[r] ...
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A * mixing convergence theorem for convex set valued processes
... Some preliminary results for the case in which the decision maker is unable to assign an explicit utility function to each course of action goal uncertainty are obtained in [12].. In thi[r] ...
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Some Characterizations of Harmonic Convex Functions
... harmonic convex function f , the value of f at the points on the path tx+(1−t)y xy whose initial point is x and terminal point is y, is less than or equal to the chord joining the points (x, f(x)) and (y, f ...
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Quaternion Doubly Stochastic Matrices Over Quaternion Vector Spaces and the Extreme Points on a Birkhoffs Theorem
... CONCLUSION In this paper we discuss about he extreme points of this convex set of matrices and convex subsets of H are identified for which these extreme matrices are of a permutation ma[r] ...
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Convergence analysis of the iterative methods for quasi complementarity problems
... It is obvious dat lemma 3.1 implies that if the convex set involved in both tJe quasi variational inequality and the quasi complementarity problem is a convex cone, then both the problem[r] ...
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Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization
... and convex quadratic op- ...are convex optimization problems, and correspond to the particular case of the convex set being the intersection of an affine family of matrices and the pos- itive ...
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Harmonic measures for distributions with finite support on the mapping class group are singular
... the set of essential simple closed curves carried by a non-classical interval exchange is a quasi-convex set in the curve com- plex and it makes sense to consider " deeply carried " ...
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A Convex Hull’ Characterization
... It is known, see [7] and [8], that two persons, infinite, symmetric games, with a compact, convex set as strategy space and a linear convex function as payoff, have solutions. In the last section we ...
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Some properties of harmonic convex and harmonic quasi-convex functions
... of convex sets and functions. Several new classes of convex sets and convex functions have been introduced and investigated, which make this area of research very attractive and ...of convex ...
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On Convexity and Approximating the Perimeter of an Ellipse
... Classical and relative recent evaluations and inequalities for the perimeter of the ellipse are recalled and proved in [1]-[3]. We continue this type of results by writing the perimeter of the ellipse as a sum of an ...
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Hyper-tubes of hyper-cubes
... A convex hull (or envelope) [13] of a set X of points in the Euclidean space is the smallest convex set that contains ...A set of points is called convex if it contains all the ...
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Vol 9, No 1 (2018)
... For example, in one dimension, a simplex is a line segment with its two end points and its vertices. In two dimensions, a simplex is a triangle having three vertices. In three dimensions, a simplex is a tetrahedron ...
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Functionally closed sets and functionally convex sets in real Banach spaces
... approximately convex subset M of a linear normed space X, by denoting the multivalued mapping which puts into correspondence with each point x ∈ X, the set T x of all points y ∈ M which satisfy the ...
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On some inequalities for relative semi convex functions
... a convex set and a convex function was the introduction of a relative convex (g-convex) set and a relative convex (g-convex) function by Youness ...relative ...
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Convex Analysis for Minimizing and Learning Submodular Set Functions
... that convex functions are hard to maximize, but easy to minimize (assuming the convex sets which characterize the problem are not too ...a convex interpolant (the Lovász extension) that can be used ...
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Non Uniform Blur and Illumination Variance Face Recognition Using Local Binary Pattern
... a convex combination of geometrically transformed instances of the focused gallery face, and show that the set of all images obtained by non-uniformly blurring a given image forms a convex ...
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