Browsing by Author "Xu, Hongyan"

Now showing 1 - 5 of 5

Citation - WoS: 9
Citation - Scopus: 8
An Expanded Analysis of Local Fractionalintegral Inequalities Via Generalized (s,p)-Convexity
(Springer, 2024) Li, Hong; Lakhdari, Abdelghani; Jarad, Fahd; Xu, Hongyan; Meftah, Badreddine; Matematik
This research aims to scrutinize specific parametrized integral inequalities linked to 1,2, 3, and 4-point Newton-Cotes rules applicable to local fractional differentiable generalized (s,P)-convex functions. To accomplish this objective, we introduce a novel integral identity and deduce multiple integral inequalities tailored to mappings within the aforementioned function class. Furthermore, we present an illustrative example featuring graphical representations and potential practical applications.
Citation - WoS: 0
Citation - Scopus: 0
On Conformable Fractional Newton-Type Inequalities
(World Scientific Publ Co Pte Ltd, 2025) Xu, Hongyan; Awan, Muhammad uzair; Meftah, Badreddine; Jarad, Fahd; Lakhdari, Abdelghani
By using a parametrized analysis, this paper presents a study that focuses on examining both the Simpson's 3/8 formula and the corrected Simpson's 3/8 formula. By utilizing a unique identity that incorporates conformable fractional integral operators, we have constructed novel conformable Newton-type inequalities for functions that possess second-order s-convex derivatives. Special cases are extensively discussed, and the accuracy of the results is validated through a numerical example with graphical representations.
Citation - WoS: 10
Citation - Scopus: 8
On Multiparametrized Integral Inequalities Via Generalized Α-Convexity on Fractal Set
(Wiley, 2025) Xu, Hongyan; Lakhdari, Abdelghani; Jarad, Fahd; Abdeljawad, Thabet; Meftah, Badreddine; Matematik
This article explores integral inequalities within the framework of local fractional calculus, focusing on the class of generalized alpha-convex functions. It introduces a novel extension of the Hermite-Hadamard inequality and derives numerous fractal inequalities through a novel multiparameterized identity. The primary aim is to generalize existing inequalities, highlighting that previously established results can be obtained by setting specific parameters within the main inequalities. The validity of the derived results is demonstrated through an illustrative example, accompanied by 2D and 3D graphical representations. Lastly, the paper discusses potential practical applications of these findings.
Citation - WoS: 19
Citation - Scopus: 18
On parameterized inequalities for fractional multiplicative integrals
(de Gruyter Poland Sp Z O O, 2024) Zhu, Wen Sheng; Meftah, Badreddine; Xu, Hongyan; Jarad, Fahd; Lakhdari, Abdelghani; 234808; Matematik
In this article, we present a one-parameter fractional multiplicative integral identity and use it to derive a set of inequalities for multiplicatively s s -convex mappings. These inequalities include new discoveries and improvements upon some well-known results. Finally, we provide an illustrative example with graphical representations, along with some applications to special means of real numbers within the domain of multiplicative calculus.
Citation - WoS: 4
Citation - Scopus: 4
A Parametrized Approach To Generalized Fractional Integral Inequalities: Hermite-Hadamard and Maclaurin Variants
(Elsevier, 2024) Lakhdari, Abdelghani; Bin-Mohsin, Bandar; Jarad, Fahd; Xu, Hongyan; Meftah, Badreddine; Matematik
This paper introduces a novel parametrized integral identity that forms the basis for deriving a comprehensive class of generalized fractional integral inequalities. Building on recent advancements in fractional calculus, particularly in conformable fractional integrals, our approach offers a unified framework for various known inequalities. The novelty of this work lies in its ability to generate new and more general inequalities, including Hermite-Hadamard-, Maclaurin-, and corrected Maclaurin-type inequalities, by selecting specific parameter values. These results extend the scope of fractional integral inequalities and provide new insights into their structure. To demonstrate the practical applicability and accuracy of the theoretical findings, we present a detailed numerical example along with graphical representations.