Results 11 to 20 of about 164 (149)
Integral inequalities via generalized quasiconvexity with applications
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
doaj +1 more source
Quasi-convex univalent functions
International Journal of Mathematics and Mathematical Sciences, 1980 In this paper, a new class of normalized univalent functions is introduced. The properties of this class and its relationship with some other subclasses of univalent functions are studied. The functions in this class are close-to-convex.
K. Inayat Noor, D. K. Thomas
doaj +1 more source
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
doaj +1 more source
Strong and Total Lagrange Dualities for Quasiconvex Programming
Journal of Applied Mathematics, 2014 We consider the strong and total Lagrange dualities for infinite quasiconvex optimization problems. By using the epigraphs of the z-quasi-conjugates and the Greenberg-Pierskalla subdifferential of these functions, we introduce some new constraint ...
Donghui Fang, XianFa Luo, Xianyun Wang
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
openaire +4 more sources
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
doaj +1 more source
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
openaire +1 more source