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) …

Hermite‐Hadamard inequalities for Riemann‐Liouville fractional integrals of a convex function with respect to a monotone function

PO Mohammed - Mathematical Methods in the Applied …, 2021 - Wiley Online Library
In this article, we have established new Hermite–Hadamard's type inequalities for Riemann–
Liouville fractional integrals of convex functions with respect to increasing functions. Our …

On parameterized inequalities of Ostrowski and Simpson type for convex functions via generalized fractional integrals

H Budak, F Hezenci, H Kara - Mathematical Methods in the …, 2021 - Wiley Online Library
The present paper first establishes that an identity involving generalized fractional integrals
is proved for differentiable functions by using two parameters. By utilizing this identity, we …

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 …

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 …

Certain error bounds on the parameterized integral inequalities in the sense of fractal sets

Y Yu, J Liu, T Du - Chaos, Solitons & Fractals, 2022 - Elsevier
The objective of this study is to research certain integral inequalities with a parameter
through the generalized (s, P)-preinvex mappings in the frame of fractal space. In view of …

Midpoint inequalities in fractional calculus defined using positive weighted symmetry function kernels

PO Mohammed, H Aydi, A Kashuri, YS Hamed… - Symmetry, 2021 - mdpi.com
The aim of our study is to establish, for convex functions on an interval, a midpoint version of
the fractional HHF type inequality. The corresponding fractional integral has a symmetric …