{"title":"SOME NEW PARAMETRIZED INEQUALITIES ON FRACTAL SET","authors":"HONGYAN XU, ABDELGHANI LAKHDARI, WEDAD SALEH, BADREDDINE MEFTAH","doi":"10.1142/s0218348x24500634","DOIUrl":null,"url":null,"abstract":"<p>The aim of this study is to examine certain open three-point Newton–Cotes-type inequalities for differentiable generalized <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mi>s</mi></math></span><span></span>-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.</p>","PeriodicalId":501262,"journal":{"name":"Fractals","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fractals","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s0218348x24500634","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The aim of this study is to examine certain open three-point Newton–Cotes-type inequalities for differentiable generalized -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.
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