{"title":"Convexity in fractional h-discrete calculus","authors":"F. Atici, J. Jonnalagadda","doi":"10.7153/dea-2022-14-22","DOIUrl":null,"url":null,"abstract":". In this paper, we consider a time scale h N a , where a ∈ R and h ∈ R + . The fractional h -difference operator is de fi ned in the sense of Riemann–Liouville with the forward difference operator Δ . First, we discuss monotonicity concept via fractional h -difference operators for the functions de fi ned on h N a . Second, we obtain some criteria to have the functions be ν -convex.","PeriodicalId":179999,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations & Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/dea-2022-14-22","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
. In this paper, we consider a time scale h N a , where a ∈ R and h ∈ R + . The fractional h -difference operator is de fi ned in the sense of Riemann–Liouville with the forward difference operator Δ . First, we discuss monotonicity concept via fractional h -difference operators for the functions de fi ned on h N a . Second, we obtain some criteria to have the functions be ν -convex.