{"title":"分数阶h离散微积分中的凸性","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":"{\"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}","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
摘要
. 本文考虑一个时间尺度h N a,其中a∈R, h∈R +。分数阶h -差分算子是在Riemann-Liouville意义上用正向差分算子Δ定义的。首先,我们通过分数阶h差算子讨论了在h N a上定义的函数的单调性概念。其次,我们得到了函数为ν -凸的若干准则。
. 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.