Results 31 to 40 of about 2,908,802 (243)

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

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

open access: yesInternational Journal of Computational Intelligence Systems, 2021
It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Gul Sana   +4 more
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

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

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

Inequalities Associated with Invariant Harmonically h-Convex Functions [PDF]

open access: yes, 2017
In this paper, we introduce a new class of harmonically convex functions which is called invariant harmonically h-convex function. We show that the class of invariant harmonically h-convex functions unifies several other new and classes of invariant ...
Aslam Noor, Muhammad   +7 more
core   +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

Some Inequalities for a New Class of Convex Functions with Applications via Local Fractional Integral

open access: yesJournal of Function Spaces, 2021
The understanding of inequalities in convexity is crucial for studying local fractional calculus efficiency in many applied sciences. In the present work, we propose a new class of harmonically convex functions, namely, generalized harmonically ψ-s ...
Hu Ge-JiLe   +3 more
doaj   +1 more source

Home - About - Disclaimer - Privacy