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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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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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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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
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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
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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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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
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