Pub Date : 2019-04-11DOI: 10.24193/MATHCLUJ.2019.1.03
S. Debnath, D. Rakshit
. In this paper we introduce the notion of rough statistical convergence in the fuzzy setting, which generalizes rough convergence of sequences of fuzzy numbers. We define the set of rough statistical limit points of a sequence of fuzzy numbers and prove some results associated with these notions. MSC 2010. 40A05, 03E72.
{"title":"Rough statistical convergence of sequences of fuzzy numbers","authors":"S. Debnath, D. Rakshit","doi":"10.24193/MATHCLUJ.2019.1.03","DOIUrl":"https://doi.org/10.24193/MATHCLUJ.2019.1.03","url":null,"abstract":". In this paper we introduce the notion of rough statistical convergence in the fuzzy setting, which generalizes rough convergence of sequences of fuzzy numbers. We define the set of rough statistical limit points of a sequence of fuzzy numbers and prove some results associated with these notions. MSC 2010. 40A05, 03E72.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42884712","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-10-01DOI: 10.24193/MATHCLUJ.2018.2.08
M. Houas, Z. Dahmani, M. Sarıkaya
{"title":"New integral inequalities for (r,alpha)-fractional moments of continuous random variables","authors":"M. Houas, Z. Dahmani, M. Sarıkaya","doi":"10.24193/MATHCLUJ.2018.2.08","DOIUrl":"https://doi.org/10.24193/MATHCLUJ.2018.2.08","url":null,"abstract":"","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46282877","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-10-01DOI: 10.24193/MATHCLUJ.2018.2.10
Bijan Kumar Patel, S. K. Sunanda, P. Ray
The period of the balancing numbers modulo m, denoted by π(m), is the least positive integer l such that {Bl, Bl+1} ≡ {0, 1} (mod m), where Bl denotes the l-th balancing number. In the present study, we examine the periods of the balancing numbers modulo a product of consecutive Lucas-balancing numbers. MSC 2010. 11B39.
{"title":"Period of balancing numbers modulo product of consecutive Lucas-balancing numbers","authors":"Bijan Kumar Patel, S. K. Sunanda, P. Ray","doi":"10.24193/MATHCLUJ.2018.2.10","DOIUrl":"https://doi.org/10.24193/MATHCLUJ.2018.2.10","url":null,"abstract":"The period of the balancing numbers modulo m, denoted by π(m), is the least positive integer l such that {Bl, Bl+1} ≡ {0, 1} (mod m), where Bl denotes the l-th balancing number. In the present study, we examine the periods of the balancing numbers modulo a product of consecutive Lucas-balancing numbers. MSC 2010. 11B39.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45896131","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-10-01DOI: 10.24193/MATHCLUJ.2018.2.09
Suket Kumar
{"title":"New characterization for an inequality","authors":"Suket Kumar","doi":"10.24193/MATHCLUJ.2018.2.09","DOIUrl":"https://doi.org/10.24193/MATHCLUJ.2018.2.09","url":null,"abstract":"","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45313333","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-10-01DOI: 10.24193/MATHCLUJ.2018.2.06
S. Dragomir
In this note we show that the Kre¼¬n-Lin triangle inequality can be naturally applied to obtain an elegant reverse for a classical numerical radius power inequality for bounded linear operators on complex Hilbert space due to C. Pearcy.
{"title":"A note on numerical radius and the Krein-Lin inequality","authors":"S. Dragomir","doi":"10.24193/MATHCLUJ.2018.2.06","DOIUrl":"https://doi.org/10.24193/MATHCLUJ.2018.2.06","url":null,"abstract":"In this note we show that the Kre¼¬n-Lin triangle inequality can be naturally applied to obtain an elegant reverse for a classical numerical radius power inequality for bounded linear operators on complex Hilbert space due to C. Pearcy.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45793115","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-10-01DOI: 10.24193/mathcluj.2018.2.03
G. Călugăreanu
Rings with the property in the title are studied under the name of ”uni” rings. These are compared with other known classes of rings and since commutative rings and reduced rings trivially have this property, conditions which added to uni rings imply commutativity or reduceness are found. MSC 2010. 13C99, 16D80, 16U80
{"title":"Rings whose units commute with nilpotent elements","authors":"G. Călugăreanu","doi":"10.24193/mathcluj.2018.2.03","DOIUrl":"https://doi.org/10.24193/mathcluj.2018.2.03","url":null,"abstract":"Rings with the property in the title are studied under the name of ”uni” rings. These are compared with other known classes of rings and since commutative rings and reduced rings trivially have this property, conditions which added to uni rings imply commutativity or reduceness are found. MSC 2010. 13C99, 16D80, 16U80","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45612833","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-10-01DOI: 10.24193/mathcluj.2018.2.02
N. Bouarroudj, Oran Algeria Informatics, L. Belaib, B. Messirdi
Boundary-value problems for fourth-order partial differential equations are studied in this paper; more precisely, vibrational phenomena of plates in an incompressible non-viscous fluid along the edge are mathematically analyzed. The spectral method via the variational formulation is used to prove existence, uniqueness and regularity theorems for the strong solution. We discuss also a discrete variational formulation for the considered problem. MSC 2010. 34A12, 35J40, 35J50.
{"title":"A spectral method for fourth-order boundary value problems","authors":"N. Bouarroudj, Oran Algeria Informatics, L. Belaib, B. Messirdi","doi":"10.24193/mathcluj.2018.2.02","DOIUrl":"https://doi.org/10.24193/mathcluj.2018.2.02","url":null,"abstract":"Boundary-value problems for fourth-order partial differential equations are studied in this paper; more precisely, vibrational phenomena of plates in an incompressible non-viscous fluid along the edge are mathematically analyzed. The spectral method via the variational formulation is used to prove existence, uniqueness and regularity theorems for the strong solution. We discuss also a discrete variational formulation for the considered problem. MSC 2010. 34A12, 35J40, 35J50.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49118164","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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