Results 1 to 10 of about 430 (171)
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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Linearization and Gap Function in Nonsmooth Quasiconvex Optimization Using Incident Subdifferential [PDF]
Control and Optimization in Applied Mathematics, 2022 The purpose of this paper is to develop nonsmooth optimization problems (P) in which all emerging functions are assumed to be real-valued quasiconvex functions that are defined on a finite-dimensional Euclidean space.
Hamed Soroush
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The External Estimate of the Compact Set by Lebesgue Set of the Convex Function [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020 The finite-dimensional problem of embedding a given compact D ⊂ R p into the lower Lebesgue set G(α) = {y ∈ R p : f(y) 6 α} of the convex function f(·) with the smallest value of α due to the offset of D is considered.
Abramova, Veronika V. +2 more
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On Quasiconvex Functions Which are Convexifiable or Not [PDF]
Journal of Optimization Theory and Applications, 2021 A quasiconvex function f being given, does there exist an increasing and continuous function k which makes k∘f convex? How to build such a k? Some words on least convex (concave) functions. The ratio of two positive numbers is neither locally convexifiable nor locally concavifiable. Finally, some considerations on the approximation of a preorder from a
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Convolution Properties of Classes of Analytic and Meromorphic Functions
Journal of Inequalities and Applications, 2010 General classes of analytic functions defined by convolution with a fixed analytic function are introduced. Convolution properties of these classes which include the classical classes of starlike, convex, close-to-convex, and quasiconvex analytic ...
Rosihan M. Ali +3 more
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Additively decomposed quasiconvex functions [PDF]
Mathematical Programming, 1982 Letf be a real-valued function defined on the product ofm finite-dimensional open convex setsX1, ź,Xm. Assume thatf is quasiconvex and is the sum of nonconstant functionsf1, ź,fm defined on the respective factor sets. Then everyfi is continuous; with at most one exception every functionfi is convex; if the exception arises, all the other functions ...
Gerard Debreu, Tjalling C. Koopmans
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Fractional Integral Inequalities for Some Convex Functions
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper, we obtained several new integral inequalities using fractional Riemann-Liouville integrals for convex s-Godunova-Levin functions in the second sense and for quasi-convex functions.
B.R. Bayraktar, A.Kh. Attaev
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Quasiconvex Functions and Hessian Equations [PDF]
Archive for Rational Mechanics and Analysis, 2003 Let \(S^{n\times n}\) denote the set of symmetric matrices. A continuous function \(f:S^{n\times n}\rightarrow\mathbb{R}\) is said to be quasiconvex (according to \textit{C. B. Morrey jun.} [Pac. J. Math. 2, 25--53 (1952; Zbl 0046.10803)]) if for any \(A\in S^{n\times n}\) and any smooth compactly supported function \(\varphi:\Omega\rightarrow\mathbb{R}
Faraco, Daniel, Zhong, Xiao
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UNA EXTENSIÓN DEL MÉTODO SUBGRADIENTE PARA FUNCIONES CUASICONVEXAS
Pesquimat, 2014 In this work, we consider the problem of minimizing a quasiconvex, continue and Hölder function on the set optimal, not necessarily differentiable. We use the normalized direction of the normal con e of the set level of function and employ the stepsize ...
Frank Navarro Rojas +1 more
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