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 …

On the parameterized fractal integral inequalities and related applications

T Du, X Yuan - Chaos, Solitons & Fractals, 2023 - Elsevier
The utilization of local fractional calculus to investigate inequalities has become a
widespread research method, which has enriched the theory of inequalities. The current …

Fractional multiplicative Bullen-type inequalities for multiplicative differentiable functions

H Boulares, B Meftah, A Moumen, R Shafqat, H Saber… - Symmetry, 2023 - mdpi.com
Various scholars have lately employed a wide range of strategies to resolve specific types of
symmetrical fractional differential equations. In this paper, we propose a new fractional …

Multiplicatively Simpson type inequalities via fractional integral

A Moumen, H Boulares, B Meftah, R Shafqat, T Alraqad… - Symmetry, 2023 - mdpi.com
Multiplicative calculus, also called non-Newtonian calculus, represents an alternative
approach to the usual calculus of Newton (1643–1727) and Leibniz (1646–1716). This type …

[PDF][PDF] On some Simpson's and Newton's type of inequalities in multiplicative calculus with applications

S Chasreechai, MA Ali, S Naowarat, T Sitthiwirattham… - AIMS Math, 2023 - aimspress.com
In this paper, we establish an integral equality involving a multiplicative differentiable
function for the multiplicative integral. Then, we use the newly established equality to prove …

Fractional multiplicative corrected dual-Simpson type inequalities

B Meftah, M Bouchareb, N Boutelhig - Journal of Fractional Calculus …, 2023 - sabapub.com
This paper delves into the realm of inequalities, focusing on the corrected dual Simpson-
type inequalities for fractional multiplicative integrals. Based on a new identity, we establishe …

[PDF][PDF] Hermite-Hadamard type inequalities for multiplicatively h-preinvex functions

S Özcan - Turk. J. Anal. Number Theory, 2021 - researchgate.net
Hermite-Hadamard Type Inequalities for Multiplicatively h-Preinvex Functions Page 1 Turkish
Journal of Analysis and Number Theory, 2021, Vol. 9, No. 3, 65-70 Available online at …

[PDF][PDF] Fractional Maclaurin-type inequalities for multiplicatively convex functions and multiplicatively P-functions

Y Peng, T Du - Filomat, 2023 - doiserbia.nb.rs
Fractional Maclaurin-type inequalities for multiplicatively convex functions and multiplicatively
P-functions Page 1 Filomat 37:28 (2023), 9497–9509 https://doi.org/10.2298/FIL2328497P …

[PDF][PDF] Dual Simpson type inequalities for multiplicatively convex functions

B Meftah, A Lakhdari - Filomat, 2023 - doiserbia.nb.rs
Dual Simpson type inequalities for multiplicatively convex functions Page 1 Filomat 37:22 (2023),
7673–7683 https://doi.org/10.2298/FIL2322673M Published by Faculty of Sciences and …

[PDF][PDF] Some new midpoint and trapezoidal type inequalities in multiplicative calculus with applications

J **e, AA Muhammad, S Thanin - Filomat, 2023 - doiserbia.nb.rs
In this paper, we use multiplicative twice differentiable functions and establish two new
multiplicative integral identities. Then, we use convexity for multiplicative twice differentiable …