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Studia Scientiarum Mathematicarum Hungarica最新文献

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Convex Bodies of Constant Width in Spaces of Constant Curvature and the Extremal Area of Reuleaux Triangles 等曲率空间中的等宽凸体与勒洛三角形的极值区
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2022-03-30 DOI: 10.1556/012.2022.01528
K. Boroczky, Á. Sagmeister
{"title":"Convex Bodies of Constant Width in Spaces of Constant Curvature and the Extremal Area of Reuleaux Triangles","authors":"K. Boroczky, Á. Sagmeister","doi":"10.1556/012.2022.01528","DOIUrl":"https://doi.org/10.1556/012.2022.01528","url":null,"abstract":"Extending Blaschke and Lebesgue’s classical result in the Euclidean plane, it has been recently proved in spherical and the hyperbolic cases, as well, that Reuleaux triangles have the minimal area among convex domains of constant width D. We prove an essentially optimal stability version of this statement in each of the three types of surfaces of constant curvature. In addition, we summarize the fundamental properties of convex bodies of constant width in spaces of constant curvature, and provide a characterization in the hyperbolic case in terms of horospheres.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89500407","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: 5
Spanning Trees of a Claw-Free Graph Whose Reducible Stems Have Few Leaves 无爪图的可约干少叶生成树
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2021-12-08 DOI: 10.1556/012.2023.01538
P. Ha
{"title":"Spanning Trees of a Claw-Free Graph Whose Reducible Stems Have Few Leaves","authors":"P. Ha","doi":"10.1556/012.2023.01538","DOIUrl":"https://doi.org/10.1556/012.2023.01538","url":null,"abstract":"Let T be a tree. The reducible stem of T is the smallest subtree that contains all branch vertices of T. In this paper, we first use a new technique of Gould and Shull [5] to state a new short proof for a result of Kano et al. [10] on the spanning tree with a bounded number of leaves in a claw-free graph. After that, we use a similar idea to prove a sharp sufficient condition for a claw-free graph having a spanning tree whose reducible stem has few leaves.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87705216","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
On Sets of Points in General Position That Lie on a Cubic Curve in the Plane 平面上三次曲线上一般位置点的集合
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2021-10-12 DOI: 10.1556/012.2022.01527
Mehdi Makhul, R. Pinchasi
{"title":"On Sets of Points in General Position That Lie on a Cubic Curve in the Plane","authors":"Mehdi Makhul, R. Pinchasi","doi":"10.1556/012.2022.01527","DOIUrl":"https://doi.org/10.1556/012.2022.01527","url":null,"abstract":"Let P be a set of n points in general position in the plane. Let R be a set of points disjoint from P such that for every x, y € P the line through x and y contains a point in R. We show that if \u0000 \u0000 is contained in a cubic curve c in the plane, then P has a special property with respect to the natural group structure on c. That is, P is contained in a coset of a subgroup H of c of cardinality at most |R|.\u0000 We use the same approach to show a similar result in the case where each of B and G is a set of n points in general position in the plane and every line through a point in B and a point in G passes through a point in R. This provides a partial answer to a problem of Karasev.\u0000 The bound \u0000 \u0000 is best possible at least for part of our results. Our extremal constructions provide a counterexample to an old conjecture attributed to Jamison about point sets that determine few directions.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74318541","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
Weighted Measures of Pseudorandom Binary Lattices 伪随机二元格的加权测度
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2021-09-27 DOI: 10.1556/012.2021.58.3.1502
Huaning Liu, Yinyin Yang
{"title":"Weighted Measures of Pseudorandom Binary Lattices","authors":"Huaning Liu, Yinyin Yang","doi":"10.1556/012.2021.58.3.1502","DOIUrl":"https://doi.org/10.1556/012.2021.58.3.1502","url":null,"abstract":"In cryptography one needs pseudorandom sequences whose short subsequences are also pseudorandom. To handle this problem, Dartyge, Gyarmati and Sárközy introduced weighted measures of pseudorandomness of binary sequences. In this paper we continue the research in this direction. We introduce weighted pseudorandom measure for multidimensional binary lattices and estimate weighted pseudorandom measure for truly random binary lattices. We also give lower bounds for weighted measures of even order and present an example by using the quadratic character of finite fields.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80776563","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
A Corson Compact Space is Countable if the Complement of its Diagonal is Functionally Countable 如果Corson紧空间对角的补是函数可数的，则该空间是可数的
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2021-09-27 DOI: 10.1556/012.2021.58.3.1508
V. Tkachuk
{"title":"A Corson Compact Space is Countable if the Complement of its Diagonal is Functionally Countable","authors":"V. Tkachuk","doi":"10.1556/012.2021.58.3.1508","DOIUrl":"https://doi.org/10.1556/012.2021.58.3.1508","url":null,"abstract":"A space X is called functionally countable if ƒ (X) is countable for any continuous function ƒ : X → Ø. Given an infinite cardinal k, we prove that a compact scattered space K with d(K) > k must have a convergent k+-sequence. This result implies that a Corson compact space K is countable if the space (K × K) ΔK is functionally countable; here ΔK = {(x, x): x ϵ K} is the diagonal of K. We also establish that, under Jensen’s Axiom ♦, there exists a compact hereditarily separable non-metrizable compact space X such that (X × X) ΔX is functionally countable and show in ZFC that there exists a non-separable σ-compact space X such that (X × X) ΔX is functionally countable.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85006106","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
Localization Operators and Uncertainty Principles for the Hankel Wavelet Transform Hankel小波变换的局部算子和不确定性原理
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2021-09-27 DOI: 10.1556/012.2021.58.3.1503
Saifallah Ghobber, Siwar Hkimi, S. Omri
{"title":"Localization Operators and Uncertainty Principles for the Hankel Wavelet Transform","authors":"Saifallah Ghobber, Siwar Hkimi, S. Omri","doi":"10.1556/012.2021.58.3.1503","DOIUrl":"https://doi.org/10.1556/012.2021.58.3.1503","url":null,"abstract":"The aim of this paper is to prove some uncertainty inequalities for the continuous Hankel wavelet transform, and study the localization operator associated to this transformation.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81998345","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
A Combinatorial Approach to the Stirling Numbers of the First Kind with Higher Level 一类高阶斯特林数的组合方法
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2021-09-27 DOI: 10.1556/012.2021.58.3.1500
T. Komatsu, J. L. Ramírez, Diego Villamizar
{"title":"A Combinatorial Approach to the Stirling Numbers of the First Kind with Higher Level","authors":"T. Komatsu, J. L. Ramírez, Diego Villamizar","doi":"10.1556/012.2021.58.3.1500","DOIUrl":"https://doi.org/10.1556/012.2021.58.3.1500","url":null,"abstract":"In this paper, we investigate a generalization of the classical Stirling numbers of the first kind by considering permutations over tuples with an extra condition on the minimal elements of the cycles. The main focus of this work is the analysis of combinatorial properties of these new objects. We give general combinatorial identities and some recurrence relations. We also show some connections with other sequences such as poly-Cauchy numbers with higher level and central factorial numbers. To obtain our results, we use pure combinatorial arguments and classical manipulations of formal power series.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91167427","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: 8
Corrigendum: Ideals of Residuated Lattices 勘误:剩余格的理想
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2021-09-27 DOI: 10.1556/012.2021.11111
L. Holdon, A. Saeid
{"title":"Corrigendum: Ideals of Residuated Lattices","authors":"L. Holdon, A. Saeid","doi":"10.1556/012.2021.11111","DOIUrl":"https://doi.org/10.1556/012.2021.11111","url":null,"abstract":"","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85561719","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
A Note on Generating a Power Basis over a Dedekind Ring 关于在Dedekind环上产生功率基的注记
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2021-09-27 DOI: 10.1556/012.2021.58.3.1505
A. Deajim, L. E. Fadil
{"title":"A Note on Generating a Power Basis over a Dedekind Ring","authors":"A. Deajim, L. E. Fadil","doi":"10.1556/012.2021.58.3.1505","DOIUrl":"https://doi.org/10.1556/012.2021.58.3.1505","url":null,"abstract":"In this note, we show that the result [1, Proposition 5.2] is inaccurate. We further give and prove the correct modification of such a result. Some applications are also given.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74199923","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
Some Functional Upper Bounds for Fejér’s Sine Polynomial fejsamr正弦多项式的一些泛函上界
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2021-09-27 DOI: 10.1556/012.2021.58.3.1504
Jing Quan Chong, Xing Chen Huang, Tuo-Yeong Lee, Jing Tao Li, Hui Xiang Sim, Jing Ren Soh, Gabriel Jiaxu Tan, Jay Kin Heng Tai
{"title":"Some Functional Upper Bounds for Fejér’s Sine Polynomial","authors":"Jing Quan Chong, Xing Chen Huang, Tuo-Yeong Lee, Jing Tao Li, Hui Xiang Sim, Jing Ren Soh, Gabriel Jiaxu Tan, Jay Kin Heng Tai","doi":"10.1556/012.2021.58.3.1504","DOIUrl":"https://doi.org/10.1556/012.2021.58.3.1504","url":null,"abstract":"We prove that\u0000 \u0000 \u0000 \u0000 \u0000 \u0000 for all integers n ≥ 1 and ɵ ≤ 8 ≤ π. This result refines inequalities due to Jackson (1911) and Turán (1938).","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80529098","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
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