On the generalized Hermite–Hadamard inequalities via the tempered fractional integrals

PO Mohammed, MZ Sarikaya, D Baleanu - Symmetry, 2020 - mdpi.com
Integral inequality plays a critical role in both theoretical and applied mathematics fields. It is
clear that inequalities aim to develop different mathematical methods (numerically or …

A new version of the Hermite–Hadamard inequality for Riemann–Liouville fractional integrals

PO Mohammed, I Brevik - Symmetry, 2020 - mdpi.com
Integral inequalities play a critical role in both theoretical and applied mathematics fields. It
is clear that inequalities aim to develop different mathematical methods. Thus, the present …

On the Bullen-type inequalities via generalized fractional integrals and their applications

T Du, C Luo, Z Cao - Fractals, 2021 - World Scientific
By using generalized fractional integrals, some Bullen-type inequalities are derived where
the first derivative of considered functions is Lipschitzian, bounded or generalized (s, m) …

Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function

J Han, PO Mohammed, H Zeng - Open Mathematics, 2020 - degruyter.com
The primary objective of this research is to establish the generalized fractional integral
inequalities of Hermite-Hadamard-type for MT-convex functions and to explore some new …

Integral inequalities for a fractional operator of a function with respect to another function with nonsingular kernel

PO Mohammed, T Abdeljawad - Advances in Difference Equations, 2020 - Springer
At first, we construct a connection between the Atangana–Baleanu and the Riemann–
Liouville fractional integrals of a function with respect to a monotone function with …

Some new Simpson's-formula-type inequalities for twice-differentiable convex functions via generalized fractional operators

MA Ali, H Kara, J Tariboon, S Asawasamrit, H Budak… - Symmetry, 2021 - mdpi.com
From the past to the present, various works have been dedicated to Simpson's inequality for
differentiable convex functions. Simpson-type inequalities for twice-differentiable functions …

New modified conformable fractional integral inequalities of Hermite–Hadamard type with applications

T Abdeljawad, PO Mohammed… - Journal of Function …, 2020 - Wiley Online Library
In this study, a few inequalities of Hermite–Hadamard type are constructed via the
conformable fractional operators so that the normal version is recovered in its limit for the …

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

H Kalsoom, MA Latif, ZA Khan, M Vivas-Cortez - Mathematics, 2021 - mdpi.com
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˙). As an additional observation, it is …

New class up and down λ-convex fuzzy-number valued map**s and related fuzzy fractional inequalities

MB Khan, HG Zaini, G Santos-García, MA Noor… - Fractal and …, 2022 - mdpi.com
The fuzzy-number valued up and down λ-convex map** is originally proposed as an
intriguing generalization of the convex map**s. The newly suggested map**s are then …

Hermite–Hadamard-type inequalities via n-polynomial exponential-type convexity and their applications

SI Butt, A Kashuri, M Tariq, J Nasir, A Aslam… - Advances in Difference …, 2020 - Springer
In this paper, we give and study the concept of n-polynomial (s, m) (s,m)-exponential-type
convex functions and some of their algebraic properties. We prove new generalization of …