Results 51 to 60 of about 585 (94)
Monotone Valuations on the Space of Convex Functions
Analysis and Geometry in Metric Spaces, 2015 We consider the space Cn of convex functions u defined in Rn with values in R ∪ {∞}, which are lower semi-continuous and such that lim|x| } ∞ u(x) = ∞.
Cavallina L., Colesanti A.
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Convex ordering properties and applications
, 2015 A relevant application of the stochastic convex order is the well-known weighted Hermite-Hadamard inequality, where the weight is provided by a given probability distribution.
A. Florea, Eugen Păltănea, D. Bălă
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Extension of Fejér's inequality to the class of sub-biharmonic functions
Open MathematicsFejér’s integral inequality is a weighted version of the Hermite-Hadamard inequality that holds for the class of convex functions. To derive his inequality, Fejér [Über die Fourierreihen, II, Math. Naturwiss, Anz. Ungar. Akad. Wiss.
Jleli Mohamed
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Nonconvex Lipschitz function in plane which is locally convex outside a discontinuum [PDF]
, 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.
Pokorny, Dusan
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Characterizations of higher-order convexity properties with respect to Chebyshev systems
, 2015 In this paper various notions of convexity of real functions with respect to Chebyshev systems defined over arbitrary subsets of the real line are introduced.
Páles, Zsolt +1 more
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Jessen's functional and majorization
, 2015 In this note, we prove a Sherman type inequality for the Jessen’s functional by using a majorization method. In consequence, we obtain a Hardy-Littlewood-Pólya-Karamata type inequality, which says that some n -sums generated by the Jessen’s functional ...
M. Niezgoda
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Some exact Bernstein-Szegö inequalities on the standard triangle
, 2017 An actual problem in the theory of approximations is to extend the univariate inequality of Bernstein to the multivariate setting. This question is satisfactorily settled in the case of a centrally symmetric convex body.
L. Milev, N. Naidenov
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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
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Schur convexity properties for the elliptic Neuman mean with applications
, 2015 Strictly Schur convexity, Schur multiplicative convexity and Schur harmonic convexity are investigated for the elliptic Neuman mean. As applications, several sharp bounds for the arithmetic, geometric and harmonic means in terms of the elliptic Neuman ...
Ying-Qing Song, Miao-Kun Wang, Y. Chu
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Strongly λ-convex functions and some characterization of inner product spaces
, 2015 In this paper we show that each strongly λ -convex function f : D → R with modulus c > 0 , where D is an nonempty convex subset of inner product space X with norm ‖·‖ , must by of the form g+ ‖·‖ , where g is an λ -convex function.
Mirosław Adamek
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