Results 11 to 20 of about 148 (137)
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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On ω-quasiconvex functions [PDF]
Mathematical Inequalities & Applications, 2012 In the paper we introduce convexity-like notions based on modification of quasiconvexity. DEFINITION. Let I be a real interval and ω 0 a given number. We say that a function f : I → R is ω -quasiconvex, ω -quasiconcave, respectively, if f (tx+(1− t)y) max( f (x), f (y))−ωmin(t,1− t)|x− y|, f (tx+(1− t)y) max( f (x), f (y))−ωmax(t,1− t)|x− y|, for x,y ∈
Jacek Tabor +2 more
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New parameterized quantum integral inequalities via η-quasiconvexity
Advances in Difference Equations, 2019 We establish new quantum Hermite–Hadamard and midpoint types inequalities via a parameter μ∈[0,1] $\mu \in [0,1]$ for a function F whose |αDqF|u $|{}_{\alpha }D_{q}F|^{u}$ is η-quasiconvex on [α,β] $[\alpha ,\beta ]$ with u≥1 $u\geq 1$.
Eze R. Nwaeze, Ana M. Tameru
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Michigan Mathematical Journal, 1985 Let \(f\) be a univalent analytic mapping of the unit disk \({\mathbb{D}}\) onto a convex domain. Form any Möbius transform \[ F(z)=[af(z)+b]/[f(z)- d]=\sum^{\infty}_{n=0}c_ nz^ n\text{ with }d\not\in f({\mathbb{D}}). \] \textit{R.R.Hall} [Bull. Lond. Math. Soc. 12, 25-28 (1980; Zbl 0434.30012)] proved that \[ | F(z)-c_ 0| \leq \pi^ 2| c_ 1| | z| /(1-|
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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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Bounding Regions to Plane Steepest Descent Curves of Quasiconvex Families
Journal of Applied Mathematics, 2016 Two-dimensional steepest descent curves (SDC) for a quasiconvex family are considered; the problem of their extensions (with constraints) outside of a convex body K is studied.
Marco Longinetti +2 more
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On extension of uniformly continuous quasiconvex functions
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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Convex and quasiconvex functions in metric graphs
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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