{"title":"Some Remarks on Results Related to ∇-Convex Function","authors":"Asif R Khan, F. Mehmood, F. Nawaz, Aamna Nazir","doi":"10.5614/J.FUND.MATH.SCI.2021.53.1.5","DOIUrl":null,"url":null,"abstract":"In present article we give some general identities of Popoviciu type for discrete case for sums PM i=1PN j=1 pijf(yi,zj) andPM i=1PN j=1 pijaij for two dimension using higher order ∇ divided dii¬€erence, and for integral case RRP(y,z)f(y,z)dydz are deduced by dii¬€erent methods for higher order dii¬€erentiable function of two variables and these identities would be generalization of several established results.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2021-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical and Fundamental Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5614/J.FUND.MATH.SCI.2021.53.1.5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
引用次数: 1
Abstract
In present article we give some general identities of Popoviciu type for discrete case for sums PM i=1PN j=1 pijf(yi,zj) andPM i=1PN j=1 pijaij for two dimension using higher order ∇ divided dii¬€erence, and for integral case RRP(y,z)f(y,z)dydz are deduced by dii¬€erent methods for higher order dii¬€erentiable function of two variables and these identities would be generalization of several established results.
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Journal of Mathematical and Fundamental Sciences welcomes full research articles in the area of Mathematics and Natural Sciences from the following subject areas: Astronomy, Chemistry, Earth Sciences (Geodesy, Geology, Geophysics, Oceanography, Meteorology), Life Sciences (Agriculture, Biochemistry, Biology, Health Sciences, Medical Sciences, Pharmacy), Mathematics, Physics, and Statistics. New submissions of mathematics articles starting in January 2020 are required to focus on applied mathematics with real relevance to the field of natural sciences. Authors are invited to submit articles that have not been published previously and are not under consideration elsewhere.
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