{"title":"Fractional multiplicative Newton-type inequalities for multiplicative s-convex positive functions with application","authors":"Abdelghani Lakhdari , Djaber Chemseddine Benchettah , Badreddine Meftah","doi":"10.1016/j.cam.2025.116600","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we begin by demonstrating a novel fractional multiplicative integral identity applicable to multiplicative differentiable functions. Leveraging this identity, we derive fractional Newton-type inequalities for multiplicative <span><math><mi>s</mi></math></span>-convex functions. Graphical representations accompany illustrative examples to validate the accuracy of our findings. Additionally, we provide applications of our results to special means.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"465 ","pages":"Article 116600"},"PeriodicalIF":2.1000,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational and Applied Mathematics","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0377042725001153","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we begin by demonstrating a novel fractional multiplicative integral identity applicable to multiplicative differentiable functions. Leveraging this identity, we derive fractional Newton-type inequalities for multiplicative -convex functions. Graphical representations accompany illustrative examples to validate the accuracy of our findings. Additionally, we provide applications of our results to special means.
期刊介绍：
The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest.
The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.
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