Results 11 to 20 of about 495,323 (228)
Functions Like Convex Functions
Journal of Function Spaces, 2015 The paper deals with convex sets, functions satisfying the global convexity property, and positive linear functionals. Jensen's type inequalities can be obtained by using convex combinations with the common center. Following the idea of the common center,
Zlatko Pavić
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Convex Functions in ACL2(r) [PDF]
Electronic Proceedings in Theoretical Computer Science, 2018 This paper builds upon our prior formalisation of R^n in ACL2(r) by presenting a set of theorems for reasoning about convex functions. This is a demonstration of the higher-dimensional analytical reasoning possible in our metric space formalisation of R ...
Carl Kwan, Mark R. Greenstreet
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A Characterization of Convex Functions [PDF]
, 2017 Let $D$ be a convex subset of a real vector space. It is shown that a radially lower semicontinuous function $f: D\to \mathbf{R}\cup \{+\infty\}$ is convex if and only if for all $x,y \in D$ there exists $\alpha=\alpha(x,y) \in (0,1)$ such that $f(\alpha
Leonetti, Paolo
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New Criteria for Univalent, Starlike, Convex, and Close-to-Convex Functions on the Unit Disk [PDF]
Mathematics Interdisciplinary Research, 2020 In the present paper, we introduce and investigate three interesting superclasses SD, SD* and KD of analytic, normalized and univalent functions in the open unit disk D.
Mohammad Reza Yasamian +2 more
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Inequalities of Hermite-Hadamard Type for GG-Convex Functions
Annals of the West University of Timisoara: Mathematics and Computer Science, 2019 Some inequalities of Hermite-Hadamard type for GG-convex functions defined on positive intervals are given. Applications for special means are also provided.
Dragomir S. S.
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INEQUALITIES OF HERMITE-HADAMARD TYPE FOR HG-CONVEX FUNCTIONS
Проблемы анализа, 2017 Some inequalities of Hermite-Hadamard type for HGconvex functions defined on positive intervals are given. Applications for special means are also provided.
S. S. Dragomir
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Directed Subdifferentiable Functions and the Directed Subdifferential without Delta-Convex Structure [PDF]
, 2013 We show that the directed subdifferential introduced for differences of convex (delta-convex, DC) functions by Baier and Farkhi can be constructed from the directional derivative without using any information on the DC structure of the function.
Baier, Robert +2 more
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International Journal of Mathematics and Mathematical Sciences, 1999 In this paper, we give two weak conditions for a lower semi-continuous function on the n-dimensional Euclidean space Rn to be a convex function. We also present some results for convex functions, strictly convex functions, and quasi-convex functions.
Yu-Ru Syau
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Convex Multivariable Trace Functions
, 2001 For any densely defined, lower semi-continuous trace \tau on a C*-algebra A with mutually commuting C*-subalgebras A_1, A_2, ... A_n, and a convex function f of n variables, we give a short proof of the fact that the function (x_1, x_2, ..., x_n ...
Lieb, Elliott H., Pedersen, Gert K.
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Inf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvature [PDF]
, 2005 We show how an operation of inf-convolution can be used to approximate convex functions with $C^{1}$ smooth convex functions on Riemannian manifolds with nonpositive curvature (in a manner that not only is explicit but also preserves some other ...
Azagra, Daniel, Ferrera, Juan
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