{"title":"Popoviciu type inequalities for n-convex functions via extension of weighted Montgomery identity","authors":"Asif R. Khan, Hira Nabi, J. Pečarić","doi":"10.24193/subbmath.2024.1.02","DOIUrl":null,"url":null,"abstract":"In this article, we derive the Popoviciu-type inequalities by using the weighted version of the extension of Montgomery’s identity and Green functions. Some results for n-convex functions at a point are also obtained. Besides that, some Ostrowski-type inequalities are also presented, which are interrelated with the obtained inequalities.\nMathematics Subject Classification (2010): 26A51, 26D15, 26D20.\nReceived 26 September 2021; Accepted 13 May 2022","PeriodicalId":517948,"journal":{"name":"Studia Universitatis Babes-Bolyai Matematica","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Studia Universitatis Babes-Bolyai Matematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24193/subbmath.2024.1.02","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
In this article, we derive the Popoviciu-type inequalities by using the weighted version of the extension of Montgomery’s identity and Green functions. Some results for n-convex functions at a point are also obtained. Besides that, some Ostrowski-type inequalities are also presented, which are interrelated with the obtained inequalities.
Mathematics Subject Classification (2010): 26A51, 26D15, 26D20.
Received 26 September 2021; Accepted 13 May 2022
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