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Separating predictive accuracy from functional behaviour in machine-learning surrogate models for geoengineering applications. [PDF]
Sci RepŻeruń M.
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Curvature-Interference Coupling Effect on Interlaminar Stress and Delamination Tendency in Riveted CFRP Laminates. [PDF]
Polymers (Basel)Wang T +8 more
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On Strongly h-Convex Functions
Annals of Functional Analysis, 2011 We introduce the notion of strongly $h$-convex functions (defined on a normed space) and present some properties and representations of such functions. We obtain a characterization of inner product spaces involving the notion of strongly $h$-convex functions. Finally, a Hermite-Hadamard-type inequality for strongly $h$-convex functions
Kazimierz Nikodem, José Giménez
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Converse Ohlin’s lemma for convex and strongly convex functions
Journal of Applied Analysis, 2022Abstract Theorems which are converse to the Ohlin lemma for convex and strongly convex functions are proved. New proofs of probabilistic characterizations of convex and strongly convex functions are presented.
Mirosław Adamek, Kazimierz Nikodem
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Remarks on Strongly Convex Functions
Aequationes Mathematicae, 2010Let \(I\subseteq \mathbb{R}\) be an interval and \(c\) be a positive number. A function \(f:I\rightarrow \mathbb{R}\) is called strongly convex with modulus \( c\) if \[ f(tx+(1-t)y)\leq tf(x)+(1-t)f(y)-ct(1-t)(x-y)^{2}, \] for all \(x,y\in I\) and \(t\in [0,1]\).
Kazimierz Nikodem, Nelson Merentes
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Strongly E-convex sets and strongly E-convex functions
Journal of Interdisciplinary Mathematics, 2005Abstract A class of E-convex sets and a class of E-convex functions are extended to the so called strongly E-convex sets and strongly E-convex functions. In this extension we take into account the images of two points x and y under an E : Rn → Rn operator besides the two points themselves.
E. A. Youness, Tarek Emam
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INVARIANCE OF THE COEFFICIENTS OF STRONGLY CONVEX FUNCTIONS
Bulletin of the Australian Mathematical Society, 2016Let the function $f$ be analytic in $\mathbb{D}=\{z:|z|<1\}$
Thomas, D. K., Verma, Sarika
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Farthest Distance Function to Strongly Convex Sets
Journal of Convex Analysis, 2023The aim of the present paper is twofold. On one hand, we show that the strong convexity of a set is equivalent to the semiconcavity of its associated farthest distance function. On the other hand, we establish that the farthest distance of a point from a strongly convex set is the minimum of farthest distances of the given point from suitable closed ...
Nacry, Florent +2 more
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