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New classes of local almost contractions 新类别的局部几乎收缩
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2018-12-01 DOI: 10.2478/ausm-2018-0030
Mónika Zákáany
{"title":"New classes of local almost contractions","authors":"Mónika Zákáany","doi":"10.2478/ausm-2018-0030","DOIUrl":"https://doi.org/10.2478/ausm-2018-0030","url":null,"abstract":"Abstract Contractions represents the foundation stone of nonlinear analysis. That is the reason why we propose to unify two different type of contractions: almost contractions, introduced by V. Berinde in [2] and local contractions (Martins da Rocha and Filipe Vailakis in [7]). These two types of contractions operate in different space settings: in metric spaces (almost contractions) and semimetric spaces (for local contractions). That new type of contraction was built up in a new space setting, which is the pseudometric space. The main results of this paper represent the extension for various type of operators on pseudometric spaces, such as: generalized ALC, Ćirić-typeALC, quasi ALC, Ćirić-Reich-Rustype ALC. We propose to study the existence and uniqueness of their fixed points, and also the continuity in their fixed points, with a large number of examples for ALC-s.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":"29 1","pages":"378 - 394"},"PeriodicalIF":0.5,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91274902","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}
引用次数: 1
A note on some relations between certain inequalities and normalized analytic functions 关于若干不等式与归一化解析函数之间若干关系的说明
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2018-12-01 DOI: 10.2478/ausm-2018-0028
M. San, H. Irmak
{"title":"A note on some relations between certain inequalities and normalized analytic functions","authors":"M. San, H. Irmak","doi":"10.2478/ausm-2018-0028","DOIUrl":"https://doi.org/10.2478/ausm-2018-0028","url":null,"abstract":"Abstract In this note, an extensive result consisting of several relations between certain inequalities and normalized analytic functions is first stated and some consequences of the result together with some examples are next presented. For the proof of the presented result, some of the assertions indicated in [5], [8] and [11] along with the results in [3] and [4] are also considered.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":"2 1","pages":"368 - 374"},"PeriodicalIF":0.5,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82033281","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}
引用次数: 3
Slant helices of (k, m)-type in 𝔼4 (k, m)型斜螺旋在𝔼4
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2018-12-01 DOI: 10.2478/ausm-2018-0031
M. Y. Yilmaz, M. Bektaş
{"title":"Slant helices of (k, m)-type in 𝔼4","authors":"M. Y. Yilmaz, M. Bektaş","doi":"10.2478/ausm-2018-0031","DOIUrl":"https://doi.org/10.2478/ausm-2018-0031","url":null,"abstract":"Abstract In the present work, we define new type slant helices called (k,m)-type and we conclude that there are no (1,k) type (1 ≤ k ≤ 4) slant helices. Also we obtain conditions for different type slant helices.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":"2 1","pages":"395 - 401"},"PeriodicalIF":0.5,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90442915","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}
引用次数: 9
On real valued ω-continuous functions 关于实值ω-连续函数
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2018-12-01 DOI: 10.2478/ausm-2018-0019
C. Carpintero, N. Rajesh, E. Rosas
{"title":"On real valued ω-continuous functions","authors":"C. Carpintero, N. Rajesh, E. Rosas","doi":"10.2478/ausm-2018-0019","DOIUrl":"https://doi.org/10.2478/ausm-2018-0019","url":null,"abstract":"Abstract The aim of this paper is to introduce and study upper and lower ω-continuous functions. Some characterizations and several properties concerning upper (resp. lower) ω-continuous functions are obtained.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":"6 1","pages":"242 - 248"},"PeriodicalIF":0.5,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91287239","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}
引用次数: 7
Integrals of polylogarithmic functions with negative argument 带负参数的多对数函数的积分
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2018-12-01 DOI: 10.2478/ausm-2018-0027
A. Sofo
{"title":"Integrals of polylogarithmic functions with negative argument","authors":"A. Sofo","doi":"10.2478/ausm-2018-0027","DOIUrl":"https://doi.org/10.2478/ausm-2018-0027","url":null,"abstract":"Abstract The connection between polylogarithmic functions and Euler sums is well known. In this paper we explore the representation and many connections between integrals of products of polylogarithmic functions and Euler sums. We shall consider mainly, polylogarithmic functions with negative arguments, thereby producing new results and extending the work of Freitas. Many examples of integrals of products of polylogarithmic functions in terms of Riemann zeta values and Dirichlet values will be given.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":"43 1","pages":"347 - 367"},"PeriodicalIF":0.5,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79461560","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}
引用次数: 5
Scaling functions on the spectrum 谱上的标度函数
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2018-12-01 DOI: 10.2478/ausm-2018-0026
Abdullah, F. Shah
{"title":"Scaling functions on the spectrum","authors":"Abdullah, F. Shah","doi":"10.2478/ausm-2018-0026","DOIUrl":"https://doi.org/10.2478/ausm-2018-0026","url":null,"abstract":"Abstract A generalization of Mallat’s classic theory of multiresolution analysis based on the theory of spectral pairs was considered by Gabardo and Nashed [4] for which the translation set Λ = {0, r/N}+2 ℤ is no longer a discrete subgroup of ℝ but a spectrum associated with a certain one-dimensional spectral pair. In this short communication, we characterize the scaling functions associated with such a nonuniform multiresolution analysis by means of some fundamental equations in the Fourier domain.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":"162 1","pages":"340 - 346"},"PeriodicalIF":0.5,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83857632","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}
引用次数: 0
An improvement for a mathematical model for distributed vulnerability assessment 分布式脆弱性评估数学模型的改进
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2018-12-01 DOI: 10.2478/ausm-2018-0017
László Bognár, A. Joós, B. Nagy
{"title":"An improvement for a mathematical model for distributed vulnerability assessment","authors":"László Bognár, A. Joós, B. Nagy","doi":"10.2478/ausm-2018-0017","DOIUrl":"https://doi.org/10.2478/ausm-2018-0017","url":null,"abstract":"Abstract Hadarics et. al. gave a Mathematical Model for Distributed Vulnerability Assessment. In this model the extent of vulnerability of a specific company IT infrastructure is measured by the probability of at least one successful malware attack when the users behaviour is also incorporated into the model. The different attacks are taken as independent random experiments and the probability is calculated accordingly. The model uses some input probabilities related to the characteristics of the different threats, protections and user behaviours which are estimated by the corresponding relative frequencies. In this paper this model is further detailed, improved and a numerical example is also presented.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":"33 1","pages":"203 - 217"},"PeriodicalIF":0.5,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80852325","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}
引用次数: 1
Performance and economic analysis of Markovian Bernoulli feedback queueing system with vacations, waiting server and impatient customers 马尔可夫伯努利反馈休假排队系统的性能与经济分析
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2018-12-01 DOI: 10.2478/ausm-2018-0018
A. Bouchentouf, Abdelhak Guendouzi, A. Kandouci
{"title":"Performance and economic analysis of Markovian Bernoulli feedback queueing system with vacations, waiting server and impatient customers","authors":"A. Bouchentouf, Abdelhak Guendouzi, A. Kandouci","doi":"10.2478/ausm-2018-0018","DOIUrl":"https://doi.org/10.2478/ausm-2018-0018","url":null,"abstract":"Abstract This paper concerns the analysis of a Markovian queueing system with Bernoulli feedback, single vacation, waiting server and impatient customers. We suppose that whenever the system is empty the sever waits for a random amount of time before he leaves for a vacation. Moreover, the customer’s impatience timer depends on the states of the server. If the customer’s service has not been completed before the impatience timer expires, the customer leaves the system, and via certain mechanism, impatient customer may be retained in the system. We obtain explicit expressions for the steady-state probabilities of the queueing model, using the probability generating function (PGF). Further, we obtain some important performance measures of the system and formulate a cost model. Finally, an extensive numerical study is illustrated.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":"8 1","pages":"218 - 241"},"PeriodicalIF":0.5,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82040000","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}
引用次数: 5
Computing metric dimension of compressed zero divisor graphs associated to rings 计算与环相关的压缩零因子图的度量维数
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2018-12-01 DOI: 10.2478/ausm-2018-0023
S. Pirzada, M. Bhat
{"title":"Computing metric dimension of compressed zero divisor graphs associated to rings","authors":"S. Pirzada, M. Bhat","doi":"10.2478/ausm-2018-0023","DOIUrl":"https://doi.org/10.2478/ausm-2018-0023","url":null,"abstract":"Abstract For a commutative ring R with 1 ≠ 0, a compressed zero-divisor graph of a ring R is the undirected graph ΓE(R) with vertex set Z(RE) {[0]} = RE {[0], [1]} defined by RE = {[x] : x ∈ R}, where [x] = {y ∈ R : ann(x) = ann(y)} and the two distinct vertices [x] and [y] of Z(RE) are adjacent if and only if [x][y] = [xy] = [0], that is, if and only if xy = 0. In this paper, we study the metric dimension of the compressed zero divisor graph ΓE(R), the relationship of metric dimension between ΓE(R) and Γ(R), classify the rings with same or different metric dimension and obtain the bounds for the metric dimension of ΓE(R). We provide a formula for the number of vertices of the family of graphs given by ΓE(R×𝔽). Further, we discuss the relationship between metric dimension, girth and diameter of ΓE(R).","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":"50 1","pages":"298 - 318"},"PeriodicalIF":0.5,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77667318","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}
引用次数: 11
On certain subclasses of analytic functions associated with Poisson distribution series 关于与泊松分布级数相关的解析函数的某些子类
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2018-11-14 DOI: 10.2478/ausm-2019-0007
B. Frasin
{"title":"On certain subclasses of analytic functions associated with Poisson distribution series","authors":"B. Frasin","doi":"10.2478/ausm-2019-0007","DOIUrl":"https://doi.org/10.2478/ausm-2019-0007","url":null,"abstract":"Abstract In this paper, we find the necessary and sufficient conditions, inclusion relations for Poisson distribution series 𝒦(m,z)=z+∑n=2∞mn-1(n-1)!e-mzn $mathcal{K}left( {{rm{m, z}}} right) = {rm{z + }}sumlimits_{{rm{n}} = 2}^infty {{{{{rm{m}}^{{rm{n}} - 1}}} over {left( {n - 1} right)!}}{{rm{e}}^{ - {rm{m}}}}{{rm{z}}^{rm{n}}}} $ to be in the subclasses 𝒮(k, λ) and 𝒞(k, λ) of analytic functions with negative coefficients. Further, we obtain necessary and sufficient conditions for the integral operator 𝒢(m,z)=∫0zℱ(m,t)tdt ${rm{mathcal{G}}}left( {{rm{m}},{rm{z}}} right) = int_0^{rm{z}} {{{{rm{mathcal{F}}}left( {{rm{m}},{rm{t}}} right)} over {rm{t}}}} {rm{dt}}$ to be in the above classes.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":"1 1","pages":"78 - 86"},"PeriodicalIF":0.5,"publicationDate":"2018-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89001781","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}
引用次数: 22
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