Quantum Hermite–Hadamard inequality by means of a Green function

M Adil Khan, N Mohammad, ER Nwaeze… - Advances in Difference …, 2020 - Springer
The purpose of this work is to present the quantum Hermite–Hadamard inequality through
the Green function approach. While doing this, we deduce some novel quantum identities …

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) …

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 …

New parameterized quantum integral inequalities via η-quasiconvexity

ER Nwaeze, AM Tameru - Advances in Difference Equations, 2019 - Springer
We establish new quantum Hermite–Hadamard and midpoint types inequalities via a
parameter μ∈ 0, 1 μ∈0,1 for a function F whose| α D q F| u |_αD_qF|^u is η-quasiconvex on …

k-fractional integral inequalities of Hadamard type for (h− m)− convex functions

G Farid, AU Rehman, QU Ain - Computational Methods for …, 2020 - cmde.tabrizu.ac.ir
In this paper, we establish Hadamard type fractional integral inequalities for a more general
class of functions that is the class of (h _ m) _convex functions. These results are due to …

[PDF][PDF] Some inequalities for multiplicative tempered fractional integrals involving the λ-incomplete gamma functions

H Fu, Y Peng, T Du - AIMS Math, 2021 - aimspress.com
In this paper, we introduce a class of the multiplicative tempered fractional integral
operators. Then, we investigate two Hermite–Hadamard type inequalities for this class. By …

New Integral Inequalities via the Katugampola Fractional Integrals for Functions Whose Second Derivatives Are Strongly η-Convex

S Kermausuor, ER Nwaeze, AM Tameru - Mathematics, 2019 - mdpi.com
Mathematics | Free Full-Text | New Integral Inequalities via the Katugampola Fractional
Integrals for Functions Whose Second Derivatives Are Strongly η-Convex Next Article in Journal …

Hermite–Hadamard Type Inequalities for Coordinated Quasi-Convex Functions via Generalized Fractional Integrals

M Vivas-Cortez, S Kermausuor… - Fixed Point Theory and …, 2022 - Springer
In this research, we used a generalized fractional integral to create a new Hermite–
Hadamard-type integral inequality for functions of two independent variables that are quasi …

Some new inequalities involving the Katugampola fractional integrals for strongly -convex functions

S Kermausuor, ER Nwaeze - Tbilisi mathematical journal, 2019 - projecteuclid.org
Some new inequalities involving the Katugampola fractional integrals for strongly η-convex
functions Page 1 Some new inequalities involving the Katugampola fractional integrals for …

Caputo–Fabrizio fractional Hermite–Hadamard type and associated results for strongly convex functions

ER Nwaeze, S Kermausuor - The Journal of Analysis, 2021 - Springer
The study of fractional integral inequalities has attracted the interests of many researchers
due to their potential applications in various fields. Estimates obtained via strongly convex …