Results 1 to 10 of about 164 (149)
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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Jensen's inequality for quasiconvex functions
Numerical Algebra, Control and Optimization, 2012 Some inequalities of Jensen type and connected results are given for quasiconvex functions on convex sets in real linear spaces.
S S Dragomir, C E M Pearce
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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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Topological Subdifferential and its Role in Nonsmooth Optimization with Quasiconvex Data [PDF]
Control and Optimization in Applied Mathematics, 2020 In this paper, we study nonsmooth optimization problems with quasiconvex functions using topological subdifferential. We present some necessary and sufficient optimality conditions and characterize topological pseudoconvex functions.
Hamed Soroush
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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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SEVERAL NEW INTEGRAL INEQUALITIES VIA K-RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS OPERATORS
Проблемы анализа, 2021 The main objective of this paper is to establish several new integral inequalities including k-Riemann – Liouville fractional integrals for convex, s-Godunova – Levin convex functions, quasiconvex, η-quasi-convex.
S. I. Butt, B. Bayraktar, M. Umar
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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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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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