Results 1 to 10 of about 463 (113)
Quasi-convex univalent functions [PDF]
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 +2 more sources
On quasi-convex functions and related topics [PDF]
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 +3 more sources
Some Quantum Estimates of Hermite-Hadamard Inequalities for Quasi-Convex Functions
In this paper, we develop some quantum estimates of Hermite-Hadamard type inequalities for quasi-convex functions. In some special cases, these quantum estimates reduce to the known results.
Hefeng Zhuang, Wenjun Liu, Jaekeun Park
doaj +3 more sources
Quasi Semi and Pseudo Semi (p,E)-Convexity in Non-Linear Optimization Programming
The class of quasi semi -convex functions and pseudo semi -convex functions are presented in this paper by combining the class of -convex functions with the class of quasi semi -convex functions and pseudo semi -convex functions, respectively.
Revan I. Hazim, Saba N. Majeed
doaj +1 more source
Krein’s Theorem in the Context of Topological Abelian Groups
A topological abelian group G is said to have the quasi-convex compactness property (briefly, qcp) if the quasi-convex hull of every compact subset of G is again compact.
Tayomara Borsich +2 more
doaj +1 more source
In the present study, two new classes of convex functions are established with the aid of Raina’s function, which is known as the ψ-s-convex and ψ-quasi-convex functions. As a result, some refinements of the Hermite–Hadamard (ℋℋ{\mathcal{ {\mathcal H} {\
Rashid Saima +3 more
doaj +1 more source
Quasi-convex free polynomials [PDF]
Let R ⟨
Balasubramanian, S., McCullough, S.
openaire +3 more sources
Quasi-Herglotz functions and convex optimization [PDF]
We introduce the set of quasi-Herglotz functions and demonstrate that it has properties useful in the modelling of non-passive systems. The linear space of quasi-Herglotz functions constitutes a natural extension of the convex cone of Herglotz functions.
Y. Ivanenko +5 more
doaj +1 more source
An Algorithm for Detecting Directional Quasi-Convexity [PDF]
This paper is concerned with the practical verification of the so called directional quasi-convexity (DQC) property which is a sufficient condition of Nekhoroshev stability of Hamiltonian systems around equilibrium points. After starting with a clear motivation the stability problem under consideration, the truncated fourth-order Birkhoff normal form ...
H. DULLIN, FASSO', FRANCESCO
openaire +3 more sources
A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators
A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq +2 more
doaj +1 more source

