Results 31 to 40 of about 497,650 (327)
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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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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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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Convex relaxations of componentwise convex functions
Computers & Chemical Engineering, 2019 Published by Elsevier Science, Amsterdam [u.a.]
Najman, Jaromil +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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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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Inequalities of Hermite-Hadamard Type
Moroccan Journal of Pure and Applied Analysis, 2015 Some inequalities of Hermite-Hadamard type for λ-convex functions defined on convex subsets in real or complex linear spaces are given. Applications for norm inequalities are provided as well.
Dragomir S. S.
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, 2003 Let \(t \in ]0,1[\). A real-valued function \(f\) defined on an interval \(I \subseteq \mathbb{R}\) is called \(t\)-convex if \(f(tx+(1-t)y) \leq tf(x)+(1-t)f(y)\) for all \(x,y \in I\). The authors show that such functions are characterized by the nonnegativity of their (suitably defined) lower second-order generalized derivatives.
Nikodem, Kazimierz, Páles, Zsolt
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On Bazilevič and convex functions [PDF]
Transactions of the American Mathematical Society, 1969 (2) zf'(z) = f(z)'g(z)lh(z) and (3) Reh(z) = Re(zf'(z)/f(z)'1-,g(z)") > 0 in IzI < 1. Thomas [12] called a function satisfying the condition (3) a Bazilevic function of type /. Let C(r) denote the curve which is the image of the circle Izi =r < 1 under the mapping w =f(z), and let L(r) denote the length of C(r). Let M(r) = maxj2j = r I f(z) 1.
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