ON CONFORMABLE FRACTIONAL NEWTON-TYPE INEQUALITIES

Hongyan Xu, Muhammad Uzair Awan, Badreddine Meftah, Fahd Jarad and Abdelghani Lakhdari
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Hongyan Xu: Department of Mathematics and Physics, Suqian University, Suqian, Jiangsu, 223800, P. R. China
Muhammad Uzair Awan: ��Department of Mathematics, Government College University, Gurunanakpura, Faisalabad 38000, Pakistan**Department CPST, National Higher School of Technology and Engineering, Annaba 23005, Algeria
Badreddine Meftah: ��Laboratory of Analysis and Control of Differential Equations “ACED†, Department of Mathematics, Faculty MISM, University 8 Mai 1945 - Guelma, P. O. Box 401, Guelma 24000, Algeria
Fahd Jarad: �Department of Mathematics, Faculty of Arts and Sciences, Çankaya University, Etimesgut 06790, Ankara, Turkey¶Center for Applied Mathematics and Bioinformatics, Gulf University for Science and Technology, Masjid Al Aqsa Street, Mubarak Al-Abdullah, Kuwait
Abdelghani Lakhdari: ��Department of Mathematics, Faculty of Science and Arts, Kocaeli University, Umuttepe Campus Kocaeli 41001, Türkiye**Department CPST, National Higher School of Technology and Engineering, Annaba 23005, Algeria

FRACTALS (fractals), 2025, vol. 33, issue 07, 1-16

Abstract: 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.

Keywords: Conformable Fractional Integral Operators; Simpson 3/8 Inequalities; Hölder Inequality; Power Mean Inequality; Convex Functions (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25500458

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