Results 41 to 50 of about 552 (144)
New parameterized quantum integral inequalities via η-quasiconvexity
Advances in Difference Equations, 2019 We establish new quantum Hermite–Hadamard and midpoint types inequalities via a parameter μ∈[0,1] $\mu \in [0,1]$ for a function F whose |αDqF|u $|{}_{\alpha }D_{q}F|^{u}$ is η-quasiconvex on [α,β] $[\alpha ,\beta ]$ with u≥1 $u\geq 1$.
Eze R. Nwaeze, Ana M. Tameru
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 7, July 2025.Abstract We formulate the problem of material identification as a problem of optimal control in which the deformation of the specimen is the state variable and the unknown material law is the control variable. We assume that the material obeys finite elasticity and that the deformation of the specimen is in static equilibrium with prescribed boundary ...
Sergio Conti, Michael Ortiz
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Duality for the level sum of quasiconvex functions and applications
, 2002 We study a quasiconvex conjugation that transforms the level sum of functions into the pointwise sum of their conjugates and derive new duality results for the minimization of the max of two quasiconvex functions.
M. Volle
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Quantitative Fundamental Theorem of Asset Pricing
Mathematical Finance, Volume 35, Issue 3, Page 636-660, July 2025.ABSTRACT In this paper, we provide a quantitative analysis of the concept of arbitrage, that allows us to deal with model uncertainty without imposing the no‐arbitrage condition. In markets that admit “small arbitrage,” we can still make sense of the problems of pricing and hedging.
Beatrice Acciaio +2 more
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Steepest geometric descent for regularized quasiconvex functions
We establish existence of steepest descent curves emanating from almost every point of a regular locally Lipschitz quasiconvex functions, where regularity means that the sweeping process flow induced by the sublevel sets is reversible.
Daniilidis, Aris, Salas, David
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Subgroups of word hyperbolic groups in dimension 2 over arbitrary rings
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract In 1996, Gersten proved that finitely presented subgroups of a word hyperbolic group of integral cohomological dimension 2 are hyperbolic. We use isoperimetric functions over arbitrary rings to extend this result to any ring. In particular, we study the discrete isoperimetric function and show that its linearity is equivalent to hyperbolicity,
Shaked Bader +2 more
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Generalized quasiconvex set-valued maps
Journal of Numerical Analysis and Approximation Theory, 2002 The aim of this paper is to introduce a concept of quasiconvexity for set-valued maps in a general framework, by only considering an abstract convexity structure in the domain and an arbitrary binary relation in the codomain.
Nicolae Popovici
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Anticomonotonicity for preference axioms: The natural counterpart to comonotonicity
Theoretical Economics, Volume 20, Issue 3, Page 831-855, July 2025.Comonotonicity (same variation) of random variables minimizes hedging possibilities and has been widely used, e.g., in Gilboa and Schmeidler's ambiguity models. This paper investigates anticomonotonicity (opposite variation (AC)), the natural counterpart to comonotonicity. It minimizes leveraging rather than hedging possibilities.
Giulio Principi +2 more
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Journal of Inequalities and Applications, 2018 This paper presents new weighted Hermite–Hadamard type inequalities for a new class of convex functions which are known as geometrically quasi-convex functions.
Sofian Obeidat, Muhammad Amer Latif
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Systems Science & Control Engineering, 2020 We propose a new two-level vertex-searching algorithm framework that finds a global optimal solution to the continuous bilevel linear fractional programming problem over a compact polyhedron, in which both the upper and the lower objectives are linear ...
Hui-Ju Chen
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