Results 1 to 10 of about 532 (159)
Integral inequalities via generalized quasiconvexity with applications [PDF]
Journal of Inequalities and Applications, 2019 Two classes of functions are hereby considered; namely, η-quasiconvex, and strongly η-quasiconvex functions. For the former, we establish some novel integral inequalities of the trapezoid kind for functions with second derivatives, while, for the latter,
Eze R. Nwaeze
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New Parameterized Inequalities for η-Quasiconvex Functions via (p, q)-Calculus [PDF]
Entropy, 2021 In this work, first, we consider novel parameterized identities for the left and right part of the (p,q)-analogue of Hermite–Hadamard inequality.
Humaira Kalsoom +3 more
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Some new k-Riemann–Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus μ≥0 $\mu\geq0$ [PDF]
Journal of Inequalities and Applications, 2018 A new class of quasiconvexity called strongly η-quasiconvex function was introduced in (Awan et al. in Filomat 31(18):5783–5790, 2017). In this paper, we obtain some new k-Riemann–Liouville fractional integral inequalities associated with this class of ...
Eze R. Nwaeze +2 more
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On a new generalized symmetric vector equilibrium problem [PDF]
Journal of Inequalities and Applications, 2017 In this paper, a new form of the symmetric vector equilibrium problem is introduced and, by mixing properties of the nonlinear scalarization mapping and the maximal element lemma, an existence theorem for it is established.
Rahmatollah Lashkaripour +1 more
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Two Characterizations of Quasiconvexity
Journal of Optimization Theory and ApplicationsWe present two characterisations of quasiconvexity for radially semicontinuous mappings defined on a convex subset of a real linear space. As applications, we obtain an extension of Sion’s minimax theorem and two characterisations of quasiconvex risk measures.
Włodzimierz Fechner +1 more
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Disciplined quasiconvex programming [PDF]
Optimization Letters, 2020 p.
Akshay Agrawal 0001, Stephen P. Boyd
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Higher-Order Quasiconvexity Reduces to Quasiconvexity [PDF]
Archive for Rational Mechanics and Analysis, 2004 In this paper it is shown that higher order quasiconvex functions suitable in the variational treatment of problems involving second derivatives may be extended to the space of all matrices as classical quasiconvex functions. Precisely, it is proved that a smooth strictly 2-quasiconvex function with p-growth at infinity, p>1, is the restriction to ...
Dal Maso, Gianni +3 more
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Journal of Inequalities and Applications, 2022 This paper deals with the study of interval-valued semiinfinite optimization problems with equilibrium constraints (ISOPEC) using convexificators. First, we formulate Wolfe-type dual problem for (ISOPEC) and establish duality results between the (ISOPEC)
K. K. Lai +4 more
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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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Quasiconvexity and Amalgams [PDF]
International Journal of Algebra and Computation, 1997 We obtain a criterion for quasiconvexity of a subgroup of an amalgamated free product of two word hyperbolic groups along a virtually cyclic subgroup. The result provides a method of constructing new word hyperbolic group in class (Q), that is such that all their finitely generated subgroups are quasiconvex.
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