Results 11 to 20 of about 552 (144)
ON EXTENSION OF UNIFORMLY CONTINUOUS QUASICONVEX FUNCTIONS [PDF]
, 2023 We show that each uniformly continuous quasiconvex function defined on a subspace of a normed space X admits a uniformly continuous quasiconvex extension to the whole X with the same "invertible modulus of continuity". This implies an analogous extension
de Bernardi C. A.
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Quasiconvex functions: how to separate, if you must!
, 2022 Since quasiconvex functions have convex lower level sets it is possible to minimize them by means of separating hyperplanes. An example of such a procedure, well-known for convex functions, is the subgradient method. However, to find the normal vector of
ZHANG, Shuzhong +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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Steepest geometric descent for regularized quasiconvex functions
, 2023 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 induced by the sublevel sets is reversible.
Daniilidis, Aris; orcid:, Salas, David
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Generalized fractional inequalities for quasi-convex functions
Advances in Difference Equations, 2019 The class of quasi-convex functions contain all those finite convex functions which are defined on finite closed intervals of real line. The aim of this paper is to establish the bounds of the sum of left and right fractional integral operators using ...
S. Ullah +4 more
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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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Extendability of continuous quasiconvex functions from subspaces
, 2023 Let Y be a subspace of a topological vector space X, and A ⊂X an open convex set that intersects Y. We say that the property (QE) [property (CE)] holds if every continuous quasiconvex [continuous convex] function on A ∩Y admits a continuous quasiconvex ...
C. A. De Bernardi +3 more
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Entropy, 2021 In this paper, we establish new (p,q)κ1-integral and (p,q)κ2-integral identities. By employing these new identities, we establish new (p,q)κ1 and (p,q)κ2- trapezoidal integral-type inequalities through strongly convex and quasi-convex functions. Finally,
Humaira Kalsoom +2 more
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On quasi-convex functions and related topics
International Journal of Mathematics and Mathematical Sciences, 1987 Let S be the class of functions f which are analytic and univalent in the unit disc E with f(0)=0, f′(0)=1. Let C, S* and K be the classes of convex, starlike and close-to-convex functions respectively.
Khalida Inayat Noor
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ON INEQUALITIES RELATED TO SOME QUASI-CONVEX FUNCTIONS
Проблемы анализа, 2015 Estimations of errors in inequalities related to some quasi-convex functions in literature are simplified. Two new general inequalities for functions whose n-th derivatives for any positive integer n in absolute values are quasi-convex have been ...
Z. Liu
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