{"title":"Maps preserving Heinz means on positive cones in $C^*$-algebras","authors":"Jingsheng Wang, Lei Li, Liguang Wang","doi":"10.5486/pmd.2023.9375","DOIUrl":"https://doi.org/10.5486/pmd.2023.9375","url":null,"abstract":"","PeriodicalId":54530,"journal":{"name":"Publicationes Mathematicae-Debrecen","volume":"43 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90331326","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Michael Gintz, Matthew Kortje, Megan Laurence, Zili Wang, Yong Yang
{"title":"Permutation groups with few orbits on the power set. II","authors":"Michael Gintz, Matthew Kortje, Megan Laurence, Zili Wang, Yong Yang","doi":"10.5486/pmd.2023.9392","DOIUrl":"https://doi.org/10.5486/pmd.2023.9392","url":null,"abstract":"","PeriodicalId":54530,"journal":{"name":"Publicationes Mathematicae-Debrecen","volume":"208 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76431855","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"New $q$-analogues of a congruence of Sun and Tauraso","authors":"Victor J. W. Guo","doi":"10.5486/pmd.2023.9347","DOIUrl":"https://doi.org/10.5486/pmd.2023.9347","url":null,"abstract":"","PeriodicalId":54530,"journal":{"name":"Publicationes Mathematicae-Debrecen","volume":"25 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74648571","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
For a continuous function f , the set Vf made of those points where the lower left derivative is strictly less than the upper right derivative is totally disconnected. Besides continuity, alternative assumptions are proposed so to preserve this property. On the other hand, we construct a function f whose set Vf coincides with the entire domain, and nevertheless f is continuous on an infinite set, possibly having infinitely many cluster points. Some open problems are proposed.
{"title":"On Dini derivatives of real functions","authors":"A. Fonda, Giuliano Klun, Andrea Sfecci","doi":"10.5486/pmd.2023.9221","DOIUrl":"https://doi.org/10.5486/pmd.2023.9221","url":null,"abstract":"For a continuous function f , the set Vf made of those points where the lower left derivative is strictly less than the upper right derivative is totally disconnected. Besides continuity, alternative assumptions are proposed so to preserve this property. On the other hand, we construct a function f whose set Vf coincides with the entire domain, and nevertheless f is continuous on an infinite set, possibly having infinitely many cluster points. Some open problems are proposed.","PeriodicalId":54530,"journal":{"name":"Publicationes Mathematicae-Debrecen","volume":"593 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77226153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
. In this paper we give new Mercer type inequalities for normalised isotonic linear functionals which contain Niezgoda’s inequality as a very special case. We deal with some particular forms of the obtained inequalities and study some refinements of them. The results are applied to means generated by normalised isotonic linear functionals. As another application we extend Mercer’s inequality to an operator inequality for convex (not operator convex) functions. An unusual feature of this result is to use closed normal subalgebras instead of a single operator
{"title":"Mercer type inequalities for normalised isotonic linear functionals with applications","authors":"L. Horváth","doi":"10.5486/pmd.2023.9365","DOIUrl":"https://doi.org/10.5486/pmd.2023.9365","url":null,"abstract":". In this paper we give new Mercer type inequalities for normalised isotonic linear functionals which contain Niezgoda’s inequality as a very special case. We deal with some particular forms of the obtained inequalities and study some refinements of them. The results are applied to means generated by normalised isotonic linear functionals. As another application we extend Mercer’s inequality to an operator inequality for convex (not operator convex) functions. An unusual feature of this result is to use closed normal subalgebras instead of a single operator","PeriodicalId":54530,"journal":{"name":"Publicationes Mathematicae-Debrecen","volume":"3 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82271557","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A bound for the matching distance between eigenvalues of matrices","authors":"M. Gil'","doi":"10.5486/pmd.2023.9330","DOIUrl":"https://doi.org/10.5486/pmd.2023.9330","url":null,"abstract":"","PeriodicalId":54530,"journal":{"name":"Publicationes Mathematicae-Debrecen","volume":"72 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86575994","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Finsler geometry of tangent Lie groups","authors":"M. Atashafrouz, B. Najafi, A. Tayebi","doi":"10.5486/pmd.2023.9360","DOIUrl":"https://doi.org/10.5486/pmd.2023.9360","url":null,"abstract":"","PeriodicalId":54530,"journal":{"name":"Publicationes Mathematicae-Debrecen","volume":"99 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76551472","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-01DOI: 10.5486/pmd.2022.suppl.2
V. Hromada, Daniela Lescinska
{"title":"Using GeMSS128 in a ring signature scheme","authors":"V. Hromada, Daniela Lescinska","doi":"10.5486/pmd.2022.suppl.2","DOIUrl":"https://doi.org/10.5486/pmd.2022.suppl.2","url":null,"abstract":"","PeriodicalId":54530,"journal":{"name":"Publicationes Mathematicae-Debrecen","volume":"2 2","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72471388","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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