Results 21 to 30 of about 196 (170)

Some Fractional Hermite–Hadamard Type Inequalities for Interval-Valued Functions

open access: yesMathematics, 2020
In this paper, firstly we prove the relationship between interval h-convex functions and interval harmonically h-convex functions. Secondly, several new Hermite–Hadamard type inequalities for interval h-convex functions via interval Riemann–Liouville ...
Fangfang Shi   +3 more
doaj   +1 more source

Some Integral Inequalities for Harmonically (α,s)-Convex Functions

open access: yesJournal of Function Spaces, 2019
In the paper, the author introduces a new class of harmonically convex functions, which is called harmonically α,s-convex functions and establishes some new integral inequalities of the Hermite-Hadamard type for harmonically α,s-convex functions.
Serap Özcan
doaj   +1 more source

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

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

A Comprehensive Review of the Hermite–Hadamard Inequality Pertaining to Fractional Integral Operators

open access: yesMathematics, 2023
In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Hermite–Hadamard (H-H)-type inequalities ...
Muhammad Tariq   +2 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

Hermite-Hadamard type inequalities for p-convex functions via fractional integrals

open access: yesMoroccan Journal of Pure and Applied Analysis, 2017
In this paper, we present Hermite-Hadamard inequality for p-convex functions in fractional integral forms. we obtain an integral equality and some Hermite-Hadamard type integral inequalities for p-convex functions in fractional integral forms.
Kunt Mehmet, İşcan İmdat
doaj   +1 more source

Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functions [PDF]

open access: yesJournal of Mahani Mathematical Research
In this paper, the authors study and introduce some new integral forms of Hermite-Hadamard inequalities in the form of harmonically convex functions known as exponential type harmonically $ (\alpha, s)_{h}$-convex function.
Kemi Apanpa   +2 more
doaj   +1 more source

Trapezoidal Type Fejér Inequalities Related to Harmonically Convex Functions and Application

open access: yesJournal of Function Spaces, 2019
Some authors introduced the concepts of the harmonically arithmetic convex functions and establish some integral inequalities of Hermite Hadamard Fejér type related to the harmonically arithmetic convex functions.
Sercan Turhan
doaj   +1 more source

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