Results 91 to 100 of about 6,381 (249)

Hermite–Hadamard-type inequalities involving ψ-Riemann–Liouville fractional integrals via s-convex functions

Journal of Inequalities and Applications, 2020
In this paper, we establish some new Hermite–Hadamard-type inequalities involving ψ-Riemann–Liouville fractional integrals via s-convex functions in the second sense. Meanwhile, we present many useful estimates on these types of new Hermite–Hadamard-type
Yong Zhao, Haiwei Sang, Weicheng Xiong, Zhongwei Cui   +3 more
doaj   +1 more source

Better Approximation of Milne‐Type Inequalities via Convex Functions and ABK Fractional Integral Operators

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we give an identity for the function which is twice differentiable. Through the applications of this identity and Atangana–Baleanu–Katugampola (ABK) fractional integrals, several fractional Milne‐type inequalities are derived for functions whose second derivatives inside the absolute value are convex. Furthermore, the table has also been
Muhammad Bilal Ahmed, Khuram Ali Khan, Ammara Nosheen, Ndolane Sene, Gopi Prasad   +4 more
wiley   +1 more source

Hermite-Hadamard type inequalities for new conditions on h-convex functions via $$\psi $$ ψ -Hilfer integral operators

Analysis and Mathematical Physics
We employ a new function class called B -function to create a new version of fractional Hermite–Hadamard and trapezoid type inequalities on the right-hand side that involves h -convex and $$\psi $$ ψ -Hilfer operators.
B. Benaissa, N. Azzouz, H. Budak
semanticscholar   +1 more source

Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals

, 2016
Some inequalities of Hermite-Hadamard type for MT-convex functions via classical integrals and RiemannLiouville fractional integrals are introduced, respectively, and applications for special means are given.
Wenjun Liu, Wangshu Wen, Jaekeun Park
semanticscholar   +1 more source

Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions

Open Mathematics, 2021
In this work, we introduce the notions about the Riemann-Liouville fractional integrals for interval-valued functions on co-ordinates. We also establish Hermite-Hadamard and some related inequalities for co-ordinated convex interval-valued functions by ...
H. Budak, H. Kara, M. Ali, Sundas Khan, Yuming Chu   +4 more
semanticscholar   +1 more source

On Hermite-Hadamard type inequalities for F-convex functions [PDF]

Journal of Mathematical Inequalities, 2020
Summary: In this paper we give two different Hermite-Hadamard type inequalities for \(F\)-convex functions. As special cases of it we get known and new Hermite-Hadamard type inequalities for different concepts of convexity.
openaire   +2 more sources

On some Hermite–Hadamard type inequalities for tgs $tgs$-convex functions via generalized fractional integrals

Advances in Difference Equations, 2020
In this research article, we establish some Hermite–Hadamard type inequalities for tgs $tgs$-convex functions via Katugampola fractional integrals and ψ-Riemann–Liouville fractional integrals.
Naila Mehreen, Matloob Anwar
doaj   +1 more source

Integral Inequalities for s-Convexity via Generalized Fractional Integrals on Fractal Sets

Mathematics, 2020
In this study, we establish new integral inequalities of the Hermite−Hadamard type for s-convexity via the Katugampola fractional integral. This generalizes the Hadamard fractional integrals and Riemann−Liouville into a single form.
Ohud Almutairi, Adem Kılıçman
doaj   +1 more source

Some fractional Hermite–Hadamard-type integral inequalities with s- ( α , m ) $(\alpha,m)$ -convex functions and their applications

Advances in Difference Equations, 2021
Under the new concept of s- ( α , m ) $(\alpha,m)$ -convex functions, we obtain some new Hermite–Hadamard inequalities with an s- ( α , m ) $(\alpha,m)$ -convex function.
R. N. Liu, Run Xu
doaj   +1 more source

Visualizing Fractional Integral Inequalities Using Euler’s Beta Function and Extended Convexity

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this research article, we present various extensions and refinements of Hermite–Hadamard and related fractional integral inequalities by utilizing the unique characteristics of Euler’s beta and extended convex functions. In some of these results, Euler’s beta function is used as a weight function, while in the others, Euler’s incomplete beta ...
Muhammad Imran, Ahsan Mehmood, Shahid Mubeen, Muhammad Samraiz, Gauhar Rahman, Mohammad Sediq Safi, Aliaa Burqan   +6 more
wiley   +1 more source