Results 1 to 10 of about 463 (113)

Quasi-convex univalent functions [PDF]

open access: yesInternational 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   +2 more sources

On quasi-convex functions and related topics [PDF]

open access: yesInternational 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   +3 more sources

Some Quantum Estimates of Hermite-Hadamard Inequalities for Quasi-Convex Functions

open access: yesMathematics, 2019
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

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2023
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

open access: yesAxioms, 2022
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

New quantum integral inequalities for some new classes of generalized ψ-convex functions and their scope in physical systems

open access: yesOpen Physics, 2021
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]

open access: yesProceedings of the American Mathematical Society, 2014
Let R ⟨
Balasubramanian, S., McCullough, S.
openaire   +3 more sources

Quasi-Herglotz functions and convex optimization [PDF]

open access: yesRoyal Society Open Science, 2020
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]

open access: yesBIT Numerical Mathematics, 2004
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

open access: yesAxioms, 2023
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

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