Results 11 to 20 of about 430 (171)
On extension of uniformly continuous quasiconvex functions [PDF]
Proceedings of the American Mathematical Society, 2023 We show that each uniformly continuous quasiconvex function defined on a subspace of a normed space X X admits a uniformly ...
de Bernardi C. A., Vesely L.
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Quasiconvex functions can be approximated by quasiconvex polynomials [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2008 Summary: Let \(W\) be a function from the real \(m\times n\)-matrices to the real numbers. If \(W\) is quasiconvex in the sense of the calculus of variations, then we show that \(W\) can be approximated locally uniformly by quasiconvex polynomials.
Heinz, Sebastian, Sebastian Heinz
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New Inequalities for η-Quasiconvex Functions [PDF]
, 2019 This is a preprint of a paper whose final and definite form is accepted 19-Sept-2018 as a book chapter at Springer New York, on the topic of 'Frontiers in Functional Equations and Analytic Inequalities', Edited by G.
Nwaeze, Eze R., Torres, Delfim F. M.
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A Quasiconvex Asymptotic Function with Applications in Optimization [PDF]
Journal of Optimization Theory and Applications, 2018 We introduce a new asymptotic function, which is mainly adapted to quasiconvex functions. We establish several properties and calculus rules for this concept and compare it to previous notions of generalized asymptotic functions. Finally, we apply our new definition to quasiconvex optimization problems: we characterize the boundedness of the function ...
Nicolas Hadjisavvas +2 more
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Convex and quasiconvex functions in metric graphs [PDF]
Networks & Heterogeneous Media, 2021 <p style='text-indent:20px;'>We study convex and quasiconvex functions on a metric graph. Given a set of points in the metric graph, we consider the largest convex function below the prescribed datum. We characterize this largest convex function as the unique largest viscosity subsolution to a simple differential equation, <inline-formula> ...
Leandro M. Del Pezzo +2 more
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Quasiconvex functions on regular trees
Revista Colombiana de MatemáticasWe introduce a definition of a quasiconvex function on an infinite directed regular tree that depends on what we understand by a segment on the tree. Our definition is based on thinking on segments as subtrees with the root as the midpoint of the segment and extends a previous notion of convexity on a tree.
Del Pezzo, Leandro M. +2 more
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Local maximum points of explicitly quasiconvex functions [PDF]
, 2014 This work concerns generalized convex real-valued functions defined on a nonempty convex subset of a real topological linear space. Its aim is twofold: first, to show that any local maximum point of an explicitly quasiconvex function is a global minimum ...
Popovici, Nicolae, Bagdasar, Ovidiu
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Abstract and Applied Analysis, 2013 We obtain a new Taylor's formula in terms of the order subdifferential of a function from to . As its applications in optimization problems, we build order sufficient optimality conditions of this kind of functions and order necessary conditions ...
He Qinghai, Zhang Binbin
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On boundedness of unified integral operators for quasiconvex functions
Advances in Difference Equations, 2020 This work deals with the bounds of a unified integral operator with which several fractional and conformable integral operators are directly associated. By using quasiconvex and monotone functions we establish bounds of these integral operators. We prove
Dongming Zhao +4 more
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Characterizations of Nonsmooth Robustly Quasiconvex Functions [PDF]
Journal of Optimization Theory and Applications, 2018 Two criteria for the robust quasiconvexity of lower semicontinuous functions are established in terms of Fréchet subdifferentials in Asplund spaces.
Hoa T. Bui +2 more
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