Hermite–Hadamard type inequalities for multiplicative Riemann–Liouville fractional integrals

T Du, Y Peng - Journal of Computational and Applied Mathematics, 2024 - Elsevier
In this paper, we present a multiplicative fractional integral identity. Based upon it, we
establish the Hermite–Hadamard type inequalities for multiplicatively convex functions via …

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 …

Estimations of bounds on the multiplicative fractional integral inequalities having exponential kernels

Y Peng, H Fu, T Du - Communications in Mathematics and Statistics, 2024 - Springer
To investigate the fractional Hermite–Hadamard-type inequalities, a class of the
multiplicative fractional integrals having exponential kernels is introduced. Some estimations …

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 …

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 …

New Ostrowski-type fractional integral inequalities via generalized exponential-type convex functions and applications

SK Sahoo, M Tariq, H Ahmad, J Nasir, H Aydi… - Symmetry, 2021 - mdpi.com
Recently, fractional calculus has been the center of attraction for researchers in
mathematical sciences because of its basic definitions, properties and applications in …

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 …

Simpson's integral inequalities for twice differentiable convex functions

M Vivas-Cortez, T Abdeljawad… - Mathematical …, 2020 - Wiley Online Library
Integral inequality is an interesting mathematical model due to its wide and significant
applications in mathematical analysis and fractional calculus. In the present research article …

Fractional Hermite-Hadamard integral inequalities for a new class of convex functions

PO Mohammed, T Abdeljawad, S Zeng, A Kashuri - Symmetry, 2020 - mdpi.com
Fractional integral inequality plays a significant role in pure and applied mathematics fields.
It aims to develop and extend various mathematical methods. Therefore, nowadays we need …