Josip Pecaric, Anamarija Perusic-Pribanic, Ksenija Smoljak-Kalamir
{"title":"Weighted Hermite-Hadamard-type inequalities for generalizations of Steffensen’s inequality via the extension of Mongomery identity","authors":"Josip Pecaric, Anamarija Perusic-Pribanic, Ksenija Smoljak-Kalamir","doi":"10.2298/aadm220523015p","DOIUrl":null,"url":null,"abstract":"In this paper, we obtain some new weighted Hermite-Hadamard-type inequalities which involve generalizations of Steffensen?s inequality obtained by using the extension of Montgomery identity via Taylor?s formula. Further, we show that by using the extension of Montgomery identity via Fink?s identity we can obtain some other weighted Hermite-Hadamard-type inequalities.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applicable Analysis and Discrete Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/aadm220523015p","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we obtain some new weighted Hermite-Hadamard-type inequalities which involve generalizations of Steffensen?s inequality obtained by using the extension of Montgomery identity via Taylor?s formula. Further, we show that by using the extension of Montgomery identity via Fink?s identity we can obtain some other weighted Hermite-Hadamard-type inequalities.
期刊介绍:
Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).