H. Kadakal, M. Kadakal, I. Işcan, Giresun University-Giresun-TÜRKİYE Arts
{"title":"New Type Integral Inequalities for Three Times Differentiable Preinvex and Prequasiinvex Functions","authors":"H. Kadakal, M. Kadakal, I. Işcan, Giresun University-Giresun-TÜRKİYE Arts","doi":"10.30538/PSRP-OMA2018.0010","DOIUrl":null,"url":null,"abstract":"In this paper, a new identity for functions defined on an open invex subset of set of real numbers is established, and by using the this identity and the Hölder and Power mean integral inequalities we present new type integral inequalities for functions whose powers of third derivatives in absolute value are preinvex and prequasiinvex functions. AMS Mathematics Subject Classification : 26A51, 26D10, 26D15.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Open Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30538/PSRP-OMA2018.0010","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 9
Abstract
In this paper, a new identity for functions defined on an open invex subset of set of real numbers is established, and by using the this identity and the Hölder and Power mean integral inequalities we present new type integral inequalities for functions whose powers of third derivatives in absolute value are preinvex and prequasiinvex functions. AMS Mathematics Subject Classification : 26A51, 26D10, 26D15.