SOME NEW PARAMETRIZED INEQUALITIES ON FRACTAL SET

Hongyan Xu, Abdelghani Lakhdari (), Wedad Saleh () and Badreddine Meftah ()
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Hongyan Xu: School of Arts and Sciences, Suqian University, Suqian, Jiangsu 223800, P. R. China†School of Mathematics and Computer Science, Gannan Normal University, Ganzhou, Jiangxi 341000, P. R. China
Abdelghani Lakhdari: ��Department CPST, National Higher School of Technology and Engineering, Annaba 23005, Algeria
Wedad Saleh: �Department of Mathematics, Taibah University, Al-Medina, Saudi Arabia
Badreddine Meftah: �Laboratory of Analysis and Control of Differential Equations, Faculty MISM, Department of Mathematics, University of 8 May 1945 Guelma, P. O. Box 401, 24000 Guelma, Algeria

FRACTALS (fractals), 2024, vol. 32, issue 03, 1-14

Abstract: The aim of this study is to examine certain open three-point Newton–Cotes-type inequalities for differentiable generalized s-convex functions on a fractal set. To begin, we introduce a novel parametrized identity involving the relevant formula, which yields various new findings as well as previously established ones. Finally, an example is given to demonstrate the accuracy of the new results and their graphical depiction. Moreover, we emphasize the applications of the results obtained.

Keywords: Parametrized Identity; Generalized s-Convex Functions; Local Fractional Integrals; Fractal Set (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24500634

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