Results 31 to 40 of about 395 (64)
Horizontal normal map on the Heisenberg group [PDF]
arXiv, 2008 We investigate the notion of H-subdifferential and H-normal map of a function on the Heisenberg group, based on its sub-Riemannian structure. In particular, a characterization of the convexity of a function is given via the nonemptiness of the H-subdifferential at every point.
arxiv
Optimal transport through a toll station
European Journal of Applied MathematicsWe address the problem of optimal transport with a quadratic cost functional and a constraint on the flux through a constriction along the path. The constriction, conceptually represented by a toll station, limits the flow rate across.
Arthur Stephanovitch +2 more
doaj +1 more source
Hermite-Hadamard type inequalities for Wright-convex functions of several variables [PDF]
arXiv, 2013 We present Hermite--Hadamard type inequalities for Wright-convex, strongly convex and strongly Wright-convex functions of several variables defined on ...
arxiv
Valuations on the space of quasi-concave functions [PDF]
arXiv, 2015 We characterize the valuations on the space of quasi-concave functions defined on the $N$-dimensional Euclidean space, that are rigid motion invariant and continuous with respect to a suitable topology. Among them we also provide a specific description of those which are additionally monotone.
arxiv
The Abel-Steffensen inequality in higher dimensions [PDF]
arXiv, 2017 The Abel-Steffensen inequality is extended to the context of several variables. Applications to Fourier analysis of several variables and Riemann-Stieltjes integration are also included.
arxiv
Nonconvex Lipschitz function in plane which is locally convex outside a discontinuum [PDF]
arXiv, 2013 We construct a Lipschitz function on $\er^{2}$ which is locally convex on the complement of some totally disconnected compact set but not convex. Existence of such function disproves a theorem that appeared in a paper by L. Pasqualini and was also cited by other authors.
arxiv
A note on quasi-convex functions [PDF]
arXiv, 2017 We present an example of smooth quasi-convex functions in the positive octant of $\mathbb{R}^{3}$ which cannot be obtained as the images of convex smooth functions under a monotone smooth mappings of $\mathbb{R}$.
arxiv
New duality results for evenly convex optimization problems. [PDF]
Optimization, 2021 Fajardo MD, Grad SM, Vidal J.
europepmc +1 more source
Improvement and generalization of some Jensen-Mercer-type inequalities [PDF]
arXiv, 2019 The present paper is devoted to the study of Jensen-Mercer-type inequalities. Our results generalize and improve some earlier results in the literature.
arxiv
A new interpretation of Jensen's inequality and geometric properties of
Journal of Inequalities and Applications, 2011 We introduce a mean of a real-valued measurable function f on a probability space induced by a strictly monotone function φ. Such a mean is called a φ-mean of f and written by Mφ (f).
Takahasi Sin-Ei +2 more
doaj