{"title":"基于s-凸性的一些Hadamard和Simpson型不等式及其应用","authors":"M. Çakmak, Mevlut Tunc","doi":"10.2478/gm-2020-0003","DOIUrl":null,"url":null,"abstract":"Abstract In this study, the authors establish and generalize some inequalities of Hadamard and Simpson type based on s-convexity in the second sense. Some applications are also given and generalized. Examples are given to show the results. The results generalize the integral inequalities in articles of Sarikaya and Xi.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"131 1","pages":"25 - 39"},"PeriodicalIF":0.0000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Some Hadamard and Simpson type inequalities via s-convexity and their applications\",\"authors\":\"M. Çakmak, Mevlut Tunc\",\"doi\":\"10.2478/gm-2020-0003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this study, the authors establish and generalize some inequalities of Hadamard and Simpson type based on s-convexity in the second sense. Some applications are also given and generalized. Examples are given to show the results. The results generalize the integral inequalities in articles of Sarikaya and Xi.\",\"PeriodicalId\":32454,\"journal\":{\"name\":\"General Letters in Mathematics\",\"volume\":\"131 1\",\"pages\":\"25 - 39\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"General Letters in Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/gm-2020-0003\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Letters in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/gm-2020-0003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Some Hadamard and Simpson type inequalities via s-convexity and their applications
Abstract In this study, the authors establish and generalize some inequalities of Hadamard and Simpson type based on s-convexity in the second sense. Some applications are also given and generalized. Examples are given to show the results. The results generalize the integral inequalities in articles of Sarikaya and Xi.
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