{"title":"利用广义分数积分算子求解凸函数的Hermite-Hadamard型不等式","authors":"E. Set, Abdurrahman Gözpınar","doi":"10.1515/taa-2017-0009","DOIUrl":null,"url":null,"abstract":"Abstract In this present work, the authors establish a new integral identity involving generalized fractional integral operators and by using this fractional-type integral identity, obtain some new Hermite-Hadamard type inequalities for functions whose first derivatives in absolute value are convex. Relevant connections of the results presented here with those earlier ones are also pointed out.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"5 1","pages":"55 - 62"},"PeriodicalIF":0.0000,"publicationDate":"2016-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/taa-2017-0009","citationCount":"9","resultStr":"{\"title\":\"Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators\",\"authors\":\"E. Set, Abdurrahman Gözpınar\",\"doi\":\"10.1515/taa-2017-0009\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this present work, the authors establish a new integral identity involving generalized fractional integral operators and by using this fractional-type integral identity, obtain some new Hermite-Hadamard type inequalities for functions whose first derivatives in absolute value are convex. Relevant connections of the results presented here with those earlier ones are also pointed out.\",\"PeriodicalId\":30611,\"journal\":{\"name\":\"Topological Algebra and its Applications\",\"volume\":\"5 1\",\"pages\":\"55 - 62\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1515/taa-2017-0009\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Topological Algebra and its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/taa-2017-0009\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Topological Algebra and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/taa-2017-0009","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators
Abstract In this present work, the authors establish a new integral identity involving generalized fractional integral operators and by using this fractional-type integral identity, obtain some new Hermite-Hadamard type inequalities for functions whose first derivatives in absolute value are convex. Relevant connections of the results presented here with those earlier ones are also pointed out.