Results 11 to 20 of about 457 (56)
A theorem of the alternative and a two‐function minimax theorem
Journal of Applied Mathematics, Volume 2004, Issue 2, Page 169-177, 2004., 2004 The two main results of the paper are a theorem of the alternative of Gordan type and a two‐function minimax theorem. Both are based on some weakened convexlike properties, without any vector space structure.
Anton Stefanescu
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 3, Page 525-534, 1999., 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
wiley +1 more source
A primal-dual approach of weak vector equilibrium problems
Open Mathematics, 2018 In this paper we provide some new sufficient conditions that ensure the existence of the solution of a weak vector equilibrium problem in Hausdorff topological vector spaces ordered by a cone.
László Szilárd
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Polynomial bivariate copulas of degree five: characterization and some particular inequalities
Dependence Modeling, 2021 Bivariate polynomial copulas of degree 5 (containing the family of Eyraud-Farlie-Gumbel-Morgenstern copulas) are in a one-to-one correspondence to certain real parameter triplets (a, b, c), i.e., to some set of polynomials in two variables of degree 1: p(
Šeliga Adam +5 more
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Transformations which preserve convexity
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 1, Page 49-55, 1985., 1985 Let C be the class of convex nondecreasing functions f : [0, ∞) → [0, ∞) which satisfy f(0) = 0. Marshall and Proschan [1] determine the one‐to‐one and onto functions ψ : [0, ∞) → [0, ∞) such that g = ψ∘f∘ψ−1 belongs to C whenever f belongs to C. We study several natural models for multivariate extension of the Marshall‐Proschan result.
Robert A. Fontenot, Frank Proschan
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Regular operator mappings and multivariate geometric means [PDF]
, 2014 We introduce the notion of regular operator mappings of several variables generalising the notion of spectral function. This setting is convenient for studying maps more general than what can be obtained from the functional calculus, and it allows for ...
Hansen, Frank
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Nonlinear Sherman-type inequalities
Advances in Nonlinear Analysis, 2018 An important class of Schur-convex functions is generated by convex functions via the well-known Hardy–Littlewood–Pólya–Karamata inequality. Sherman’s inequality is a natural generalization of the HLPK inequality.
Niezgoda Marek
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Regularity Results for Eikonal-Type Equations with Nonsmooth Coefficients [PDF]
, 2011 Solutions of the Hamilton-Jacobi equation $H(x,-Du(x))=1$, with $H(\cdot,p)$ H\"older continuous and $H(x,\cdot)$ convex and positively homogeneous of degree 1, are shown to be locally semiconcave with a power-like modulus. An essential step of the proof
Cannarsa, Piermarco +1 more
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Continued fractions built from convex sets and convex functions [PDF]
, 2014 In a partially ordered semigroup with the duality (or polarity) transform, it is possible to define a generalisation of continued fractions. General sufficient conditions for convergence of continued fractions with deterministic terms are provided.
Molchanov, Ilya
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Characterization of the monotone polar of subdifferentials
, 2013 We show that a point is solution of the Minty variational inequality of subdifferential type for a given function if and only if the function is increasing along rays starting from that point.
Lassonde, Marc
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