Results 41 to 50 of about 5,352,010 (246)

Integral Inequalities of Integer and Fractional Orders for n–Polynomial Harmonically tgs–Convex Functions and Their Applications

open access: yesJournal of Mathematics, 2022
The main objective of this article is to introduce the notion of n–polynomial harmonically tgs–convex function and study its algebraic properties. First, we use this notion to present new variants of the Hermite–Hadamard type inequality and related ...
Artion Kashuri   +8 more
doaj   +1 more source

Harmonic close-to-convex functions and minimal surfaces [PDF]

open access: yesComplex Variables and Elliptic Equations, 2013
In this paper, we study the family ${\mathcal C}_{H}^0$ of sense-preserving complex-valued harmonic functions $f$ that are normalized close-to-convex functions on the open unit disk $\mathbb{D}$ with $f_{\bar{z}}(0)=0$. We derive a sufficient condition for $f$ to belong to the class $\CC_{H}^0$.
Ponnusamy, Saminathan   +3 more
openaire   +5 more sources

Some New Hermite-Hadamard-Fejér Fractional Type Inequalities for h-Convex and Harmonically h-Convex Interval-Valued Functions

open access: yesMathematics, 2021
In this article, firstly, we establish a novel definition of weighted interval-valued fractional integrals of a function Υ˘ using an another function ϑ(ζ˙).
Humaira Kalsoom   +3 more
doaj   +1 more source

A Note on Shapley's convex measure games [PDF]

open access: yes, 2002
L. S. Shapley, in his paper 'Cores of Convex Games', introduces Convex Measure Games, those that are induced by a convex function on R, acting over a measure on the coalitions.
Martínez de Albéniz, F. Javier   +1 more
core   +6 more sources

Schur-harmonic convexity related to co-ordinated harmonically convex functions in plane [PDF]

open access: yesJournal of Inequalities and Applications, 2019
AbstractIn this paper, we investigate Schur-harmonic convexity of some functions which are obtained from the co-ordinated harmonically convex functions on a square in a plane.
N. Safaei, A. Barani
openaire   +2 more sources

Coefficient Conditions for Harmonic Close‐to‐Convex Functions [PDF]

open access: yesAbstract and Applied Analysis, 2012
New sufficient conditions, concerned with the coefficients of harmonic functions in the open unit disk 𝕌 normalized by f(0) = h(0) = h′(0) − 1 = 0, for f(z) to be harmonic close‐to‐convex functions are discussed. Furthermore, several illustrative examples and the image domains of harmonic close‐to‐convex functions satisfying the obtained conditions ...
openaire   +4 more sources

Properties of Convex Fuzzy-Number-Valued Functions on Harmonic Convex Set in the Second Sense and Related Inequalities via Up and Down Fuzzy Relation

open access: yesAxioms, 2023
In this paper, we provide different variants of the Hermite–Hadamard (H⋅H) inequality using the concept of a new class of convex mappings, which is referred to as up and down harmonically s-convex fuzzy-number-valued functions (UDH s-convex FNVM) in the ...
Muhammad Bilal Khan   +4 more
doaj   +1 more source

Riemann–Liouville Fractional Integral Inequalities for Generalized Harmonically Convex Fuzzy-Interval-Valued Functions

open access: yesInternational Journal of Computational Intelligence Systems, 2022
The framework of fuzzy-interval-valued functions (FIVFs) is a generalization of interval-valued functions (IVF) and single-valued functions. To discuss convexity with these kinds of functions, in this article, we introduce and investigate the ...
Muhammad Bilal Khan   +4 more
doaj   +1 more source

Convex functions and harmonic maps [PDF]

open access: yesProceedings of the American Mathematical Society, 1972
A subset D of a riemannian manifold Y is said to be convex supporting if every compact subset of D has a Y -open neighborhood which supports a strictly convex function.
openaire   +3 more sources

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