Results 31 to 40 of about 84,906 (335)
Schur-Convexity of Averages of Convex Functions [PDF]
Journal of Inequalities and Applications, 2011 The object is to give an overview of the study of Schur-convexity of various means and functions and to contribute to the subject with some new results. First, Schur-convexity of the generalized integral and weighted integral quasi-arithmetic mean is studied.
Roqia Ghulam +3 more
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Near Convexity, Metric Convexity, and Convexity
Rocky Mountain Journal of Mathematics, 2007 It is shown that a subset of a uniformly convex normed space is nearly convex if and only if its closure is convex. Also, a normed space satisfying a mild completeness property is strictly convex if and only if every metrically convex subset is convex.
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Inequalities via s−convexity and log −convexity
Topological Algebra and its Applications, 2017 Abstract In this paper, we obtain some new inequalities for functions whose second derivatives’ absolute value is s−convex and log −convex. Also, we give some applications for numerical integration.
ÖZDEMİR, MUHAMET EMİN +2 more
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Nonlinear Operators as Concerns Convex Programming and Applied to Signal Processing
Mathematics, 2019 Splitting methods have received a lot of attention lately because many nonlinear problems that arise in the areas used, such as signal processing and image restoration, are modeled in mathematics as a nonlinear equation, and this operator is decomposed ...
Anantachai Padcharoen +1 more
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Convex billiards on convex spheres
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2017 In this paper we study the dynamical billiards on a convex 2D sphere. We investigate some generic properties of the convex billiards on a general convex sphere. We prove that C^{\infty } generically, every periodic point is either hyperbolic or elliptic with irrational rotation number ...
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Convex characterization of linearly convex domains
MATHEMATICA SCANDINAVICA, 2012 We prove that a $C^{1,1}$-smooth bounded domain $D$ in $\mathbf{C}^n$ is linearly convex if and only if the convex hull of any two discs in $D$ with common center lies in $D$.
Nikolov, Nikolai, Thomas, Pascal J.
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A generalization of convexity via an implicit inequality
AIMS MathematicsWe unified several kinds of convexity by introducing the class $ \mathcal{A}_{\zeta, w}([0, 1]\times I^2) $ of $ (\zeta, w) $-admissible functions $ F: [0, 1]\times I\times I\to \mathbb{R} $.
Hassen Aydi +2 more
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Algorithms, 2010 We analytically investigate univariate C1 continuous cubic L1 interpolating splines calculated by minimizing an L1 spline functional based on the second derivative on 5-point windows.
Shu-Cherng Fang +2 more
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The Convex Geometry of Backpropagation: Neural Network Gradient Flows Converge to Extreme Points of the Dual Convex Program [PDF]
arXiv, 2021 We study non-convex subgradient flows for training two-layer ReLU neural networks from a convex geometry and duality perspective. We characterize the implicit bias of unregularized non-convex gradient flow as convex regularization of an equivalent convex model.
arxiv
Entropy, 2010 Convex roof extensions are widely used to create entanglement measures in quantum information theory. The aim of the article is to present some tools which could be helpful for their treatment. Sections 2 and 3 introduce into the subject. It follows descriptions of the Wootters' method, of the "subtraction procedure", and examples on how to use ...
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