{"title":"Hankel determinant for a certain subclass of analytic functions","authors":"A. Nistor-Serban","doi":"10.31926/but.mif.2019.61.12.2.19","DOIUrl":"https://doi.org/10.31926/but.mif.2019.61.12.2.19","url":null,"abstract":"In this paper, we investigate the bound of the second Hankel determinant H2(2) = a2a4- a23 for the coefficients of a function f belonging to the class W α,β (ϕ) of all normalized analytic functions in the open unit disk U, satisfying the following differential subordination: (1 - α + 2 β) f(z)/z + (α-2 β) f’(z) + βzf’’(z) < ϕ (z).","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43311763","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":"R. Abdi","doi":"10.31926/but.mif.2019.61.12.2.1","DOIUrl":"https://doi.org/10.31926/but.mif.2019.61.12.2.1","url":null,"abstract":"In this paper, we study CR-hypersurfaces of a conformal Kenmotsu manifold with a ξ-parallel or Lie ξ-parallel normal Jacobi operator.","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42725345","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":"Three dimensional Sasakian manifolds admitting η-Ricci solitons","authors":"D. Kar, P. Majhi","doi":"10.31926/but.mif.2019.61.12.2.11","DOIUrl":"https://doi.org/10.31926/but.mif.2019.61.12.2.11","url":null,"abstract":"In this paper we characterize the three dimensional Sasakian manifolds admitting η-almost Ricci solitons. After the introduction, in section 2, we study three dimensional Sasakian manifolds. In section 3, we prove that an η-Ricci soliton in Sasakian manifolds satisfying the curvature property R.Q = 0 is shrinking and reduces to Ricci soliton. In section 4, we show that the necessary and suficient condition for a Sasakian manifold not admitting a proper η-Ricci soliton is that it is Ricci symmetric. In sections 5 and 6, we study projectively at and concircularly at Sasakian manifold of dimension 3 respectively and find the type of an η-Ricci soliton on such manifold. The next section is devoted to the study of such a manifold admitting η-Ricci soliton and we prove some equivalent conditions. Finally, in section 8, we prove that in a three dimensional Sasakian manifold an η-Ricci soliton becomes Ricci soliton if and only if it is Ricci pseudo-symmetric.","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47899950","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":"Innovative air quality system with emergency notifications","authors":"A. Băicoianu, M. Demeter, Anca Vasilescu","doi":"10.31926/but.mif.2019.61.12.2.22","DOIUrl":"https://doi.org/10.31926/but.mif.2019.61.12.2.22","url":null,"abstract":"This paper is organised around the problem of environmental monitoring and ambient environmental monitoring, as parts of social computing and the Internet of Things areas of research. In recent times, the use of sensing devices and technologies has had increasing significant interest in many fields, some remarkable results being achieved, particularly with evaluating, monitoring, and analysing the air quality. The main purpose of the system developed in our project is to introduce a way to monitor the air quality in a given room, advancing the possibility of viewing history or even real-time data via a web service. Although the level of hardware is abstracted, the focus is on the problem that it addresses and on solving it, as well.","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46538238","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":"Jensen's type inequalities for the finite Hilbert transform of convex functions","authors":"S. Dragomir","doi":"10.31926/but.mif.2020.13.62.2.10","DOIUrl":"https://doi.org/10.31926/but.mif.2020.13.62.2.10","url":null,"abstract":"In this paper we obtain some new inequalities for the finite Hilbert transform of convex functions by the use of Jensen’s integral inequality. Applications for exponential function are provided as well.","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":"1999 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88274457","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":"Some properties of trans Sasakian manifolds admitting a quarter-symmetric non-metric connection","authors":"C. Lalmalsawma, J. P. Singh","doi":"10.31926/but.mif.2019.12.61.1.6","DOIUrl":"https://doi.org/10.31926/but.mif.2019.12.61.1.6","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":"2019-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43994713","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":"An analysis of (0,1;0) interpolation based on the zeros of ultraspherical polynomials","authors":"Y. Singh, R. Srivastava","doi":"10.31926/but.mif.2019.12.61.1.8","DOIUrl":"https://doi.org/10.31926/but.mif.2019.12.61.1.8","url":null,"abstract":"The aim of this paper is to construct an interpolatory polynomial (0,1;0) with special types of boundary conditions. Here the nodes {xi}i=1 and {xi } n−1 i=1 are the roots of P (k) n (x) and P (k+1) n−1 (x) respectively, where P (k) n (x) is the Ultraspherical polynomial of degree n. In this paper, we prove, existence, explicit representation and order of convergence of the interpolatory polynomial. 2000 Mathematics Subject Classification: 41A10, 97N50.","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43116266","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 compactness via bI-open sets in ideal bitopological spaces \"","authors":"Santanu Acharjee, I. Reilly, D. Sarma","doi":"10.31926/but.mif.2019.12.61.1.1","DOIUrl":"https://doi.org/10.31926/but.mif.2019.12.61.1.1","url":null,"abstract":"Sarma introduced the concept of (i, j)-bI-compact spaces with respect to an ideal in a bitopological space. In this paper, our aim is to present several characterizations of these spaces. Also, the class of (i, j)-bI-countably compact spaces is introduced with some of its properties. 2000 Mathematics Subject Classification: 54E55.","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44757575","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":"Approximation of f-divergence measures by using two points Taylor's type representations with integral remainders","authors":"S. Dragomir","doi":"10.31926/but.mif.2019.12.61.1.3","DOIUrl":"https://doi.org/10.31926/but.mif.2019.12.61.1.3","url":null,"abstract":"In this paper we establish some approximations of the f -divergence measures by the use of two points Taylor’s type representations with integral remainders. Some inequalities for particular instances of interest are provided as well. 2000 Mathematics Subject Classification: 26D15; 26D10.","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45117640","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":"Some fixed point results for a modified F-contractions via a new type of (α,β)-cyclic admissible mappings in metric spaces","authors":"A. A. Mebawondu, O. Mewomo","doi":"10.31926/but.mif.2019.12.61.1.7","DOIUrl":"https://doi.org/10.31926/but.mif.2019.12.61.1.7","url":null,"abstract":"The aim of this paper is to define the new type of mappings which is called modified Suzuki-Berinde F -contraction mapping in the frame work of metric spaces. Fixed point theorems for such mappings in complete metric spaces are established. Furthermore, we present examples to support our main results, using this examples, we establish that our main results is a generalization of the fixed point result of Wardowski [Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory and Appl., 94, (2012)], Piri and Kumam [Some fixed point theorems concerning F -contraction in complete metric spaces, Fixed Point Theory and Appl.,210, (2014)] and a host of others in the literature. 2000 Mathematics Subject Classification: 47H09; 47H10; 49J20; 49J40","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46459086","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}