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Radius problem associated with certain ratios and linear combinations of analytic functions 与解析函数的某些比率和线性组合相关的半径问题
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-08-14 DOI: 10.1515/ms-2024-0066
Priya G. Krishnan, Ravichandran Vaithiyanathan, Ponnaiah Saikrishnan
{"title":"Radius problem associated with certain ratios and linear combinations of analytic functions","authors":"Priya G. Krishnan, Ravichandran Vaithiyanathan, Ponnaiah Saikrishnan","doi":"10.1515/ms-2024-0066","DOIUrl":"https://doi.org/10.1515/ms-2024-0066","url":null,"abstract":"For normalized starlike functions <jats:italic>f</jats:italic> : 𝔻 → ℂ, we consider the analytic functions <jats:italic>g</jats:italic> : 𝔻 → ℂ defined by <jats:italic>g</jats:italic>(<jats:italic>z</jats:italic>) = (1 + <jats:italic>z</jats:italic>(<jats:italic>f</jats:italic>″(<jats:italic>z</jats:italic>))/<jats:italic>f</jats:italic>′(<jats:italic>z</jats:italic>))/(<jats:italic>zf</jats:italic>′(<jats:italic>z</jats:italic>)/<jats:italic>f</jats:italic>(<jats:italic>z</jats:italic>)) and <jats:italic>g</jats:italic>(<jats:italic>z</jats:italic>) = (1 − <jats:italic>α</jats:italic>)(<jats:italic>zf</jats:italic>′(<jats:italic>z</jats:italic>))/<jats:italic>f</jats:italic>(<jats:italic>z</jats:italic>) + <jats:italic>α</jats:italic>(1 + (<jats:italic>zf</jats:italic>″(<jats:italic>z</jats:italic>))/<jats:italic>f</jats:italic>′(<jats:italic>z</jats:italic>)), 0 ≤ <jats:italic>α</jats:italic> ≤ 1. We determine the largest radius <jats:italic>ρ</jats:italic> with 0 &lt; <jats:italic>ρ</jats:italic> ≤ 1 such that <jats:italic>g</jats:italic>(<jats:italic>ρ z</jats:italic>) is subordinate to various functions with positive real part.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"35 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142221520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Euclidean operator radius inequalities of d-tuple operators and operator matrices d 元组算子和算子矩阵的欧氏算子半径不等式
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-08-14 DOI: 10.1515/ms-2024-0070
Suvendu Jana, Pintu Bhunia, Kallol Paul
{"title":"Euclidean operator radius inequalities of d-tuple operators and operator matrices","authors":"Suvendu Jana, Pintu Bhunia, Kallol Paul","doi":"10.1515/ms-2024-0070","DOIUrl":"https://doi.org/10.1515/ms-2024-0070","url":null,"abstract":"We study Euclidean operator radius inequalities of <jats:italic>d</jats:italic>-tuple operators as well as the sum and the product of <jats:italic>d</jats:italic>-tuple operators. A power inequality for the Euclidean operator radius of <jats:italic>d</jats:italic>-tuple operators is also studied. Further, we study the Euclidean operator radius inequalities of 2 × 2 operator matrices whose entries are <jats:italic>d</jats:italic>-tuple operators.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"39 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142221515","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Relative versions of star-Menger property 星-门格尔特性的相对版本
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-08-14 DOI: 10.1515/ms-2024-0073
Sumit Mittal, Gaurav Kumar, Brij K. Tyagi
{"title":"Relative versions of star-Menger property","authors":"Sumit Mittal, Gaurav Kumar, Brij K. Tyagi","doi":"10.1515/ms-2024-0073","DOIUrl":"https://doi.org/10.1515/ms-2024-0073","url":null,"abstract":"Motivated by Bonanzinga and Maesano (2022), we introduce and study the new relative versions of star-Menger property related to some properties studied lately by Kočinac et al. (2022) and Bonanzinga et al. (2023). In this paper, we provide some examples to understand their relationships with other relativizations of star selection principles. Further, we investigate the behaviour of these spaces under various mappings.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"7 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142221518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
On certain star versions of the Hurewicz property using ideals 关于使用理想的胡勒维茨性质的某些星形版本
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-08-14 DOI: 10.1515/ms-2024-0072
Debraj Chandra, Nur Alam
{"title":"On certain star versions of the Hurewicz property using ideals","authors":"Debraj Chandra, Nur Alam","doi":"10.1515/ms-2024-0072","DOIUrl":"https://doi.org/10.1515/ms-2024-0072","url":null,"abstract":"This article is a continuation of the study of star-𝓘-Hurewicz and strongly star-𝓘-Hurewicz properties done in [Das et al.:<jats:italic>On certain variations of</jats:italic> 𝓘-<jats:italic>Hurewicz property</jats:italic>, Topology Appl. 251 (2018), 363–376]. We primarily consider and study the relative versions of star-𝓘-Hurewicz and strongly star-𝓘-Hurewicz properties. We study their relationships with the star-Hurewicz, strongly star-Hurewicz, star-𝓘-Hurewicz, strongly star-𝓘-Hurewicz and similar other properties. Few related games are also studied.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"6 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142221517","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Generalized discrete Grüss and related results with applications 广义离散格吕斯及相关结果与应用
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-08-14 DOI: 10.1515/ms-2024-0065
Saad Ihsan Butt, Josip Pečarić, Sanja Tipurić-Spužević
{"title":"Generalized discrete Grüss and related results with applications","authors":"Saad Ihsan Butt, Josip Pečarić, Sanja Tipurić-Spužević","doi":"10.1515/ms-2024-0065","DOIUrl":"https://doi.org/10.1515/ms-2024-0065","url":null,"abstract":"Grüss inequality is subject of interest for many authors due to its effectiveness in predicting bounds in several quadrature problems. In the present article, we give weighted treatment of the discrete Čebyšev and Grüss type inequalities pertaining two <jats:italic>n</jats:italic>-tuples of real numbers in which the bounding constants are mobilised with bounding sequences of real numbers. As an application estimations of discrete Ostrowski type inequalities are provided. Finally, by practicing obtained results along with Jensen’s difference, a wide range of estimations are formalised by considering Jensen-Grüss differences.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"22 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142221521","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Coalgebraic methods for Ramsey degrees of unary algebras 一元代数的拉姆齐度的代数方法
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-08-14 DOI: 10.1515/ms-2024-0062
Dragan Mašulović
{"title":"Coalgebraic methods for Ramsey degrees of unary algebras","authors":"Dragan Mašulović","doi":"10.1515/ms-2024-0062","DOIUrl":"https://doi.org/10.1515/ms-2024-0062","url":null,"abstract":"In this paper, we prove the existence of small and big Ramsey degrees of classes of finite unary algebras in an arbitrary (not necessarily finite) algebraic language Ω. Our results generalize some Ramsey-type results of M. Sokić concerning finite unary algebras over finite languages. To do so, we develop a completely new strategy that relies on the fact that right adjoints preserve the Ramsey property. We then treat unary algebras as Eilenberg-Moore coalgebras for a functor with comultiplication, and using pre-adjunctions transport the Ramsey properties, we are interested in from the category of finite or countably infinite chains of order type <jats:italic>ω</jats:italic>. Moreover, we show that finite objects have finite big Ramsey degrees in the corresponding cofree structures over countably many generators.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"5 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142221525","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 new family of copulas based on probability generating functions 基于概率生成函数的新共模族
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-08-14 DOI: 10.1515/ms-2024-0076
Swaroop Georgy Zachariah, Mohd. Arshad, Ashok Kumar Pathak
{"title":"A new family of copulas based on probability generating functions","authors":"Swaroop Georgy Zachariah, Mohd. Arshad, Ashok Kumar Pathak","doi":"10.1515/ms-2024-0076","DOIUrl":"https://doi.org/10.1515/ms-2024-0076","url":null,"abstract":"We propose a method to obtain a new class of copulas using a probability generating function (PGF) of positive-integer valued random variable. Some existing copulas in the literature are sub-families of the proposed copulas. Various dependence measures and invariant property of the tail dependence coefficient under PGF transformation are also discussed. We propose an algorithm for generating random numbers from the PGF copula. The bivariate concavity properties, such as Schur concavity and quasi-concavity, associated with the PGF copula are studied. Two new generalized FGM copulas are introduced using PGFs of geometric and discrete Mittag-Leffler distributions. The proposed two copulas improved the Spearman’s rho of FGM copula by (−0.3333, 0.4751) and (−0.3333, 0.9573). Finally, we analyse a real dataset to illustrate the practical application of the proposed copulas.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"174 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142221416","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 general formula in composition theory 构成理论中的一般公式
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-07-01 DOI: 10.1515/ms-2024-0043
Rafael Jakimczuk
{"title":"A general formula in composition theory","authors":"Rafael Jakimczuk","doi":"10.1515/ms-2024-0043","DOIUrl":"https://doi.org/10.1515/ms-2024-0043","url":null,"abstract":"We prove general formulae in composition theory. We study the number of restricted compositions of a positive integer <jats:italic>n</jats:italic> in <jats:italic>k</jats:italic> parts, where the parts are in very general integer sequences. Note that in compositions the order of the parts is considered.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"24 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141511870","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Positive bases, cones, Helly-type theorems 正基、锥体、赫利型定理
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-07-01 DOI: 10.1515/ms-2024-0054
Imre Bárány
{"title":"Positive bases, cones, Helly-type theorems","authors":"Imre Bárány","doi":"10.1515/ms-2024-0054","DOIUrl":"https://doi.org/10.1515/ms-2024-0054","url":null,"abstract":"Assume that <jats:italic>k</jats:italic> ≤ <jats:italic>d</jats:italic> is a positive integer and 𝓒 is a finite collection of convex bodies in ℝ<jats:sup> <jats:italic>d</jats:italic> </jats:sup>. We prove a Helly-type theorem: If for every subfamily 𝓒<jats:sup>*</jats:sup> ⊂ 𝓒 of size at most max{<jats:italic>d</jats:italic> + 1, 2(<jats:italic>d</jats:italic> – <jats:italic>k</jats:italic> + 1)} the set ⋂ 𝓒<jats:sup>*</jats:sup> contains a <jats:italic>k</jats:italic>-dimensional cone, then so does ⋂ 𝓒. One ingredient in the proof is another Helly-type theorem about the dimension of lineality spaces of convex cones.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"26 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141511864","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 boundary feedback stabilization for degenerate parabolic equations in multi-dimensional domains 关于多维域中退化抛物方程的边界反馈稳定的说明
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-07-01 DOI: 10.1515/ms-2024-0060
Ionuţ Munteanu
{"title":"A note on boundary feedback stabilization for degenerate parabolic equations in multi-dimensional domains","authors":"Ionuţ Munteanu","doi":"10.1515/ms-2024-0060","DOIUrl":"https://doi.org/10.1515/ms-2024-0060","url":null,"abstract":"In this paper, we are concerned with the problem of stabilization of a degenerate parabolic equation with a Dirichlet control, evolving in bounded domain 𝓞 ⊂ ℝ<jats:sup> <jats:italic>d</jats:italic> </jats:sup>, <jats:italic>d</jats:italic> ≥ 2. We apply the proportional control design technique based on the spectrum of the linear operator which governs the evolution equation. The stabilizing feedback control, we design here, is linear, of finite-dimensional structure, easily manageable from the computational point of view.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"11 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141511871","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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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