Results 31 to 40 of about 245 (199)

On new generalized unified bounds via generalized exponentially harmonically s-convex functions on fractal sets

open access: yesAdvances in Difference Equations, 2021
The visual beauty reflects the practicability and superiority of design dependent on the fractal theory. Based on the applicability in practice, it shows that it is the completely feasible, self-comparability and multifaceted nature of fractal sets that ...
Yu-Ming Chu   +4 more
doaj   +1 more source

Ostrowski-Type Fractional Integral Inequalities: A Survey

open access: yesFoundations, 2023
This paper presents an extensive review of some recent results on fractional Ostrowski-type inequalities associated with a variety of convexities and different kinds of fractional integrals.
Muhammad Tariq   +2 more
doaj   +1 more source

ON A SUBCLASS OF CERTAIN CONVEX HARMONIC FUNCTIONS

open access: yesJournal of the Korean Mathematical Society, 2006
We deflne and investigate a subclass of complex val- ued harmonic convex functions that are univalent and sense pre- serving in the open unit disk. We obtain coe-cient conditions, extreme points, distortion bounds, convolution conditions for the above family of harmonic functions.
Yalcin, Sibel, Ozturk, Metin
openaire   +3 more sources

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

On Generalization of Different Integral Inequalities for Harmonically Convex Functions [PDF]

open access: yesSymmetry, 2022
In this study, we first prove a parameterized integral identity involving differentiable functions. Then, for differentiable harmonically convex functions, we use this result to establish some new inequalities of a midpoint type, trapezoidal type, and Simpson type.
Jiraporn Reunsumrit   +3 more
openaire   +1 more source

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

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

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

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