{"title":"Generalized Bernstein type operators","authors":"Alexandra D. Meleşteu","doi":"10.31926/but.mif.2020.13.62.2.20","DOIUrl":"https://doi.org/10.31926/but.mif.2020.13.62.2.20","url":null,"abstract":"In this paper we investigate certain properties of a class of generalized Bernstein type operators","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":"70 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88474488","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}
{"title":"On a subclass of analytic functions of fractal power with negative coefficients","authors":"Z. E. Abdulnaby, R. Ibrahim","doi":"10.31926/but.mif.2020.13.62.2.2","DOIUrl":"https://doi.org/10.31926/but.mif.2020.13.62.2.2","url":null,"abstract":"The purpose of this article is to introduce a new general family of normalized analytic fractal function in the open unit disk. We employ this class to define a fractional differential operator of two fractals. This operator, under some conditions involves the well known Salagean differential operator. Our method is based on the Hadamard product and its generalization of functions with negative coeffcients.","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":"2010 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86289203","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}
{"title":"Generalizations of the Ostrowski type inequalities using different types of convexity","authors":"S. Garoiu, B. Vasian","doi":"10.31926/but.mif.2020.13.62.2.12","DOIUrl":"https://doi.org/10.31926/but.mif.2020.13.62.2.12","url":null,"abstract":"In this paper we establish some Ostrowski type inequalities using some classes of convex functions. We will use the following types of convexity: (α, m, h)-convexity, log-convexity and the Arithmetic-Harmonic convexity(AHconvexity).","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83386683","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}
{"title":"Meromorphic solutions of higher order non-homogeneous linear difference equations","authors":"B. Belaïdi, Rachid Bellaama","doi":"10.31926/but.mif.2020.13.62.2.6","DOIUrl":"https://doi.org/10.31926/but.mif.2020.13.62.2.6","url":null,"abstract":"In this paper, we investigate the growth of meromorphic solutions of nonhomogeneous linear difference equation A_n(z)f(z + c_n) + · · · + A_1(z)f(z + c_1) + A_0(z)f(z) = A_{n+1}(z), where A_{n+1 (z), · · · , A0 (z) are (entire) or meromorphic functions and c_j (1, · · · , n) are non-zero distinct complex numbers. Under some conditions on the (lower) order and the (lower) type of the coefficients, we obtain estimates on the lower bound of the order of meromorphic solutions of the above equation. We extend early results due to Luo and Zheng.","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":"40 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85746679","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}
{"title":"Metrizability of multiset topological spaces","authors":"Karishma Shravan, B. Tripathy","doi":"10.31926/but.mif.2020.13.62.2.24","DOIUrl":"https://doi.org/10.31926/but.mif.2020.13.62.2.24","url":null,"abstract":"In this paper, we have investigated one of the basic topological properties, called Metrizability in multiset topological space. Metrizable spaces are those topological spaces which are homeomorphic to a metric space. So, we first give the notion of metric between two multi-points in a finite multiset and studied some significant properties of a multiset metric space. The notion of metrizability is then studied by using this metric. Besides, the Urysohn’s lemma which is considered to be one of the important tools in studying some metrization theorems in topology is also discussed in context with multisets.","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":"21 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90349312","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}
{"title":"N(k)-paracontact three metric as a Eta-Ricci soliton","authors":"D. Kar, P. Majhi","doi":"10.31926/but.mif.2020.13.62.2.16","DOIUrl":"https://doi.org/10.31926/but.mif.2020.13.62.2.16","url":null,"abstract":"In this paper, we study Eta-Ricci soliton (η-Ricci soliton) on three dimensional N(k)-paracontact metric manifolds. We prove that the scalar curvature of an N(k)-paracontact metric manifold admitting η-Ricci solitons is constant and the manifold is of constant curvature k. Also, we prove that such manifolds are Einstein. Moreover, we show the condition of that the η-Ricci soliton to be expanding, steady or shrinking. In such a case we prove that the potential vector field is Killing vector field. Also, we show that the potential vector field is an infinitesimal automorphism or it leaves the structure tensor in the direction perpendicular to the Reeb vector field ξ. Finally, we illustrate an example of a three dimensional N(k)-paracontact metric manifold admitting an η-Ricci soliton","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":"28 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90170200","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}
{"title":"Multiset ideal topological spaces and Kuratowski closure operator","authors":"Karishma Shravan, B. Tripathy","doi":"10.31926/but.mif.2020.13.62.1.21","DOIUrl":"https://doi.org/10.31926/but.mif.2020.13.62.1.21","url":null,"abstract":"","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47729289","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}
R. Ahmadi, Gholamreza Rahimlou, V. Sadri, Ramazan Zarghami Farfar, Technical
{"title":"Constructions of K-g-fusion and their dual in Hilbert spaces","authors":"R. Ahmadi, Gholamreza Rahimlou, V. Sadri, Ramazan Zarghami Farfar, Technical","doi":"10.31926/but.mif.2020.13.62.1.2","DOIUrl":"https://doi.org/10.31926/but.mif.2020.13.62.1.2","url":null,"abstract":"Frames for operators or K-frames were recently considered by Găvruța (2012) in connection with atomic systems. Also, generalized frames are important frames in the Hilbert space of bounded linear operators. Fusion frames, which are a special case of generalized frames have various applications. This paper introduces the concept of generalized fusion frames for operators also known as K-g-fusion frames and we get some results for characterization of these frames. We further discuss dual and Q-dual in connection with K-g-fusion frames. Also we obtain some useful identities for these frames. We also give several methods to construct K-g-fusion frames. The results of this paper can be used in sampling theory which are developed by g-frames and especially fusion frames. In the end, we discuss the stability of a more general perturbation for K-g-fusion frames.","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42698449","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}
{"title":"CR -hypersurfaces of conformal Kenmotsu manifolds with ξ-parallel normal Jacobi operator","authors":"H. Abass, A. A. Mebawondu, O. Mewomo","doi":"10.31926/but.mif.2020.13.62.1.1","DOIUrl":"https://doi.org/10.31926/but.mif.2020.13.62.1.1","url":null,"abstract":"","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45256839","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}
{"title":"Fixed point theorems extended to spaces with two metrics","authors":"S. Garoiu, B. Vasian","doi":"10.31926/but.mif.2019.61.12.2.9","DOIUrl":"https://doi.org/10.31926/but.mif.2019.61.12.2.9","url":null,"abstract":"In this paper, we obtain generalizations on some classical fixed point theorems which will be defined in spaces that have two metrics. We will, also, obtain some methods of construction of the majorant metric. 2000 Mathematics Classification: 47H10","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":"24 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41267509","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}