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Studia Scientiarum Mathematicarum Hungarica最新文献

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On sharpening of inequalities for a class of polynomials satisfying p(z)≡znp(1/z) 一类满足p(z)≡znp(1/z)的多项式不等式的锐化
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2020-06-01 DOI: 10.1556/012.2020.57.2.1461
Ritu Dhankhar, N. Govil, Prasanna Kumar
{"title":"On sharpening of inequalities for a class of polynomials satisfying p(z)≡znp(1/z)","authors":"Ritu Dhankhar, N. Govil, Prasanna Kumar","doi":"10.1556/012.2020.57.2.1461","DOIUrl":"https://doi.org/10.1556/012.2020.57.2.1461","url":null,"abstract":"Let be a polynomial of degree n. Further, let and . Then according to the well-known Bernstein inequalities, we have and . It is an open problem to obtain inequalities analogous to these inequalities for the class of polynomials satisfying p(z) ≡ znp(1/z). In this paper we obtain some inequalites in this direction for polynomials that belong to this class and have all their coefficients in any sector of opening γ, where 0 γ < π. Our results generalize and sharpen several of the known results in this direction, including those of Govil and Vetterlein [3], and Rahman and Tariq [12]. We also present two examples to show that in some cases the bounds obtained by our results can be considerably sharper than the known bounds.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"1 1","pages":"255-266"},"PeriodicalIF":0.7,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83697408","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}
引用次数: 1
Some properties of harmonic numbers 调和数的一些性质
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2020-06-01 DOI: 10.1556/012.2020.57.2.1458
Bing-Ling Wu, Xiao-Hui Yan
{"title":"Some properties of harmonic numbers","authors":"Bing-Ling Wu, Xiao-Hui Yan","doi":"10.1556/012.2020.57.2.1458","DOIUrl":"https://doi.org/10.1556/012.2020.57.2.1458","url":null,"abstract":"Let Hn be the n-th harmonic number and let vn be its denominator. It is known that vn is even for every integer . In this paper, we study the properties of Hn and prove that for any integer n, vn = en(1+o(1)). In addition, we obtain some results of the logarithmic density of harmonic numbers.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"7 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72526023","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}
引用次数: 0
Lazarsfeld-Mukai Bundles on K3 Surfaces Associated with a Pencil Computing the Clifford Index 用铅笔计算Clifford指数的K3曲面上的Lazarsfeld-Mukai束
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2020-05-19 DOI: 10.1556/012.2022.01518
Sarbeswar Pal
{"title":"Lazarsfeld-Mukai Bundles on K3 Surfaces Associated with a Pencil Computing the Clifford Index","authors":"Sarbeswar Pal","doi":"10.1556/012.2022.01518","DOIUrl":"https://doi.org/10.1556/012.2022.01518","url":null,"abstract":"Let X be a smooth projective K3 surface over the complex numbers and let C be an ample curve on X. In this paper we will study the semistability of the Lazarsfeld-Mukai bundle EC,A associated to a line bundle A on C such that |A| is a pencil on C and computes the Clifford index of C. We give a necessary and sufficient condition for EC,A to be semistable.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"20 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82261102","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}
引用次数: 0
Hyperspace of finite unions of convergent sequences 收敛序列有限并的超空间
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2020-05-17 DOI: 10.1556/012.2021.01510
Jingling Lin, Fucai Lin, Chuan Liu
{"title":"Hyperspace of finite unions of convergent sequences","authors":"Jingling Lin, Fucai Lin, Chuan Liu","doi":"10.1556/012.2021.01510","DOIUrl":"https://doi.org/10.1556/012.2021.01510","url":null,"abstract":"The symbol S(X) denotes the hyperspace of finite unions of convergent sequences in a Hausdor˛ space X. This hyper-space is endowed with the Vietoris topology. First of all, we give a characterization of convergent sequence in S(X). Then we consider some cardinal invariants on S(X), and compare the character, the pseudocharacter, the sn-character, the so-character, the network weight and cs-network weight of S(X) with the corresponding cardinal function of X. Moreover, we consider rank k-diagonal on S(X), and give a space X with a rank 2-diagonal such that S(X) does not Gδ\u0000 -diagonal. Further, we study the relations of some generalized metric properties of X and its hyperspace S(X). Finally, we pose some questions about the hyperspace S(X).","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"286 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80287802","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}
引用次数: 2
A note on the ternary purely exponential diophantine equation Ax + By = Cz with A + B = C2 关于三元纯指数丢番图方程Ax + By = Cz与A + B = C2的注释
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2020-03-23 DOI: 10.1556/012.2020.57.2.1457
Elif Kizildere, M. Le, G. Soydan
{"title":"A note on the ternary purely exponential diophantine equation Ax + By = Cz with A + B = C2","authors":"Elif Kizildere, M. Le, G. Soydan","doi":"10.1556/012.2020.57.2.1457","DOIUrl":"https://doi.org/10.1556/012.2020.57.2.1457","url":null,"abstract":"<jats:p>Let <jats:italic>l,m,r</jats:italic> be fixed positive integers such that 2<jats:inline-formula />| <jats:italic>l</jats:italic>, 3<jats:inline-formula /><jats:italic>lm</jats:italic>, <jats:italic>l > r</jats:italic> and 3 | <jats:italic>r</jats:italic>. In this paper, using the BHV theorem on the existence of primitive divisors of Lehmer numbers, we prove that if min{<jats:italic>rlm</jats:italic><jats:sup>2</jats:sup> − 1<jats:italic>,</jats:italic>(<jats:italic>l</jats:italic> − <jats:italic>r</jats:italic>)<jats:italic>lm</jats:italic><jats:sup>2</jats:sup> + 1} <jats:italic>></jats:italic> 30, then the equation (<jats:italic>rlm</jats:italic><jats:sup>2</jats:sup> − 1)<jats:sup><jats:italic>x</jats:italic></jats:sup> + ((<jats:italic>l</jats:italic> − <jats:italic>r</jats:italic>)<jats:italic>lm</jats:italic><jats:sup>2</jats:sup> + 1)<jats:sup><jats:italic>y</jats:italic></jats:sup> = (<jats:italic>lm</jats:italic>)<jats:sup><jats:italic>z</jats:italic></jats:sup> has only the positive integer solution (<jats:italic>x,y,z</jats:italic>) = (1<jats:italic>,</jats:italic>1<jats:italic>,</jats:italic>2).</jats:p>","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"20 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90068855","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}
引用次数: 3
Characterization of automorphisms of twisted tensor biproducts 扭曲张量双积自同构的表征
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2020-03-01 DOI: 10.1556/012.2020.57.1.1451
W. Xing, Cheng Quanguo, Wang Ding-guo
{"title":"Characterization of automorphisms of twisted tensor biproducts","authors":"W. Xing, Cheng Quanguo, Wang Ding-guo","doi":"10.1556/012.2020.57.1.1451","DOIUrl":"https://doi.org/10.1556/012.2020.57.1.1451","url":null,"abstract":"\u0000 We study certain subgroups of the full group of Hopf algebra automorphisms of twisted tensor biproducts.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"21 1","pages":"116-137"},"PeriodicalIF":0.7,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74909549","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}
引用次数: 0
The first cohomology group of some operator algebras on Hilbert C*-modules Hilbert C*-模上若干算子代数的第一上同调群
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2020-03-01 DOI: 10.1556/012.2020.57.1.1455
H. Ghahramani, S. Sattari
{"title":"The first cohomology group of some operator algebras on Hilbert C*-modules","authors":"H. Ghahramani, S. Sattari","doi":"10.1556/012.2020.57.1.1455","DOIUrl":"https://doi.org/10.1556/012.2020.57.1.1455","url":null,"abstract":"\u0000 Let X be a Hilbert C*-module over a C*-algebra B. In this paper we introduce two classes of operator algebras on the Hilbert C*-module X called operator algebras with property and operator algebras with property ℤ, and we study the first (continuous) cohomology group of them with coefficients in various Banach bimodules under several conditions on B and X. Some of our results generalize the previous results. Also we investigate some properties of these classes of operator algebras.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"193 1","pages":"54-67"},"PeriodicalIF":0.7,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79697449","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}
引用次数: 0
Integral bases of pure fields with square-free parameter 无平方参数纯场的积分基
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2020-03-01 DOI: 10.1556/012.2020.57.1.1450
László Remete
{"title":"Integral bases of pure fields with square-free parameter","authors":"László Remete","doi":"10.1556/012.2020.57.1.1450","DOIUrl":"https://doi.org/10.1556/012.2020.57.1.1450","url":null,"abstract":"\u0000 Let m ≠ 0, ±1 and n ≥ 2 be integers. The ring of algebraic integers of the pure fields of type is explicitly known for n = 2, 3,4. It is well known that for n = 2, an integral basis of the pure quadratic fields can be given parametrically, by using the remainder of the square-free part of m modulo 4. Such characterisation of an integral basis also exists for cubic and quartic pure fields, but for higher degree pure fields there are only results for special cases.\u0000 In this paper we explicitly give an integral basis of the field , where m ≠ ±1 is square-free. Furthermore, we show that similarly to the quadratic case, an integral basis of is repeating periodically in m with period length depending on n.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"28 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90540982","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}
引用次数: 1
The Dirichlet problem for the uniformly elliptic equation in generalized weighted Morrey spaces 广义加权Morrey空间中一致椭圆方程的Dirichlet问题
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2020-03-01 DOI: 10.1556/012.2020.57.1.1449
T. Gadjiev, V. Guliyev, Konul G. Suleymanova
{"title":"The Dirichlet problem for the uniformly elliptic equation in generalized weighted Morrey spaces","authors":"T. Gadjiev, V. Guliyev, Konul G. Suleymanova","doi":"10.1556/012.2020.57.1.1449","DOIUrl":"https://doi.org/10.1556/012.2020.57.1.1449","url":null,"abstract":"\u0000 In this paper, we obtain generalized weighted Sobolev-Morrey estimates with weights from the Muckenhoupt class Ap by establishing boundedness of several important operators in harmonic analysis such as Hardy-Littlewood operators and Calderon-Zygmund singular integral operators in generalized weighted Morrey spaces. As a consequence, a priori estimates for the weak solutions Dirichlet boundary problem uniformly elliptic equations of higher order in generalized weighted Sobolev-Morrey spaces in a smooth bounded domain Ω ⊂ ℝn are obtained.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"2 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73463952","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}
引用次数: 4
Jordan's totient function and trigonometric sums Jordan’s totient函数和三角和
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2020-03-01 DOI: 10.1556/012.2020.57.1.1452
W. Chu
{"title":"Jordan's totient function and trigonometric sums","authors":"W. Chu","doi":"10.1556/012.2020.57.1.1452","DOIUrl":"https://doi.org/10.1556/012.2020.57.1.1452","url":null,"abstract":"\u0000 Two classes of trigonometric sums about integer powers of secant function are evaluated that are closely related to Jordan's totient function.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"82 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73045386","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}
引用次数: 3
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