{"title":"可微调和凸函数和拟凸函数的类hermite - hadamard型不等式","authors":"Jaekeun Park","doi":"10.12988/IJMA.2014.47216","DOIUrl":null,"url":null,"abstract":"In this paper, by setting up a generalized integral identity for differentiable functions, the author obtain some new upper bounds of Hermite-Hadamard-like type inequalities for differentiable harmonically convex and harmonically quasi-convex functions. Mathematics Subject Classification: 26A51, 26D15","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"66 17","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Hermite-Hadamard-like type inequalities for differentiable harmonically convex and quasi-convex functions\",\"authors\":\"Jaekeun Park\",\"doi\":\"10.12988/IJMA.2014.47216\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, by setting up a generalized integral identity for differentiable functions, the author obtain some new upper bounds of Hermite-Hadamard-like type inequalities for differentiable harmonically convex and harmonically quasi-convex functions. Mathematics Subject Classification: 26A51, 26D15\",\"PeriodicalId\":431531,\"journal\":{\"name\":\"International Journal of Mathematical Analysis\",\"volume\":\"66 17\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Mathematical Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/IJMA.2014.47216\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/IJMA.2014.47216","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Hermite-Hadamard-like type inequalities for differentiable harmonically convex and quasi-convex functions
In this paper, by setting up a generalized integral identity for differentiable functions, the author obtain some new upper bounds of Hermite-Hadamard-like type inequalities for differentiable harmonically convex and harmonically quasi-convex functions. Mathematics Subject Classification: 26A51, 26D15