{"title":"可微有界函数和Lipschitzian函数的参数化类simpson不等式及其在管理科学中的应用实例","authors":"N. Boutelhig, B. Meftah, W. Saleh, A. Lakhdari","doi":"10.2478/jamsi-2023-0005","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, based on a given parameterized identity that generates a quadrature rule family similar to Simpson’s second formula, we establish some new Simpson-like type inequalities for functions with bounded as well as Lipchitzian derivatives from which we can deduce the famous 3/8-Simpson’s inequality. The study concludes with an application example from management science.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"19 1","pages":"79 - 91"},"PeriodicalIF":0.3000,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Parameterized Simpson-like inequalities for differentiable Bounded and Lipschitzian functions with application example from management science\",\"authors\":\"N. Boutelhig, B. Meftah, W. Saleh, A. Lakhdari\",\"doi\":\"10.2478/jamsi-2023-0005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this paper, based on a given parameterized identity that generates a quadrature rule family similar to Simpson’s second formula, we establish some new Simpson-like type inequalities for functions with bounded as well as Lipchitzian derivatives from which we can deduce the famous 3/8-Simpson’s inequality. The study concludes with an application example from management science.\",\"PeriodicalId\":43016,\"journal\":{\"name\":\"Journal of Applied Mathematics Statistics and Informatics\",\"volume\":\"19 1\",\"pages\":\"79 - 91\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Applied Mathematics Statistics and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/jamsi-2023-0005\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mathematics Statistics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/jamsi-2023-0005","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Parameterized Simpson-like inequalities for differentiable Bounded and Lipschitzian functions with application example from management science
Abstract In this paper, based on a given parameterized identity that generates a quadrature rule family similar to Simpson’s second formula, we establish some new Simpson-like type inequalities for functions with bounded as well as Lipchitzian derivatives from which we can deduce the famous 3/8-Simpson’s inequality. The study concludes with an application example from management science.
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