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Weighted 1MP and MP1 inverses for operators 算子的加权 1MP 和 MP1 逆运算
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-05-28 DOI: 10.1515/ms-2024-0033
Dijana Mosić, Janko Marovt
{"title":"Weighted 1MP and MP1 inverses for operators","authors":"Dijana Mosić, Janko Marovt","doi":"10.1515/ms-2024-0033","DOIUrl":"https://doi.org/10.1515/ms-2024-0033","url":null,"abstract":"The main aim of this paper is to extend the concepts of the 1MP and MP1 inverses defined for rectangular complex matrices. We present the weighted 1MP and MP1 inverses for a bounded linear operator between two Hilbert spaces as two new kinds of generalized inverses. The notions of the weighted 1MP and MP1 inverses are new in the context of rectangular complex matrices too. We establish a number of characterizations and some representations of the weighted 1MP and MP1 inverses. Several operator equations are solved applying the weighted 1MP and MP1 inverses. A special case of one of these equations is the normal equation which is related with the least-squares solution. As consequences of our results, we obtain new properties of the 1MP and MP1 inverses.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"17 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141168637","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
Subordination properties and coefficient problems for a novel class of convex functions 一类新型凸函数的从属性和系数问题
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-05-28 DOI: 10.1515/ms-2024-0005
Ebrahim Analouei Adegani, Mostafa Jafari, Teodor Bulboacă, Nak Eun Cho, Ahmad Motamednezhad
{"title":"Subordination properties and coefficient problems for a novel class of convex functions","authors":"Ebrahim Analouei Adegani, Mostafa Jafari, Teodor Bulboacă, Nak Eun Cho, Ahmad Motamednezhad","doi":"10.1515/ms-2024-0005","DOIUrl":"https://doi.org/10.1515/ms-2024-0005","url":null,"abstract":"In this study, a novel family of analytical functions connected to convex functions in the open unit is introduced and investigated. Additionally, relationships between this class and other subclasses of analytic functions are deduced. Further, different results for the mentioned class and several new interesting properties are obtained.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"133 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141168469","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 study on error bounds for Newton-type inequalities in conformable fractional integrals 保形分式积分中牛顿型不等式的误差边界研究
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-05-28 DOI: 10.1515/ms-2024-0024
Hüseyin Budak, Cihan Ünal, Fatih Hezenci
{"title":"A study on error bounds for Newton-type inequalities in conformable fractional integrals","authors":"Hüseyin Budak, Cihan Ünal, Fatih Hezenci","doi":"10.1515/ms-2024-0024","DOIUrl":"https://doi.org/10.1515/ms-2024-0024","url":null,"abstract":"The authors of the paper suggest a novel approach in order to examine an integral equality using conformable fractional operators. By using this identity, some Newton-type inequalities are proved for differentiable convex functions by taking the modulus of the newly established equality. Moreover, we prove some Newton-type inequalities by using the Hölder and power-mean inequality. Furthermore, some new results are presented by using special choices of obtained inequalities. Finally, we give some conformable fractional Newton-type inequalities for functions of bounded variation.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"18 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141168776","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
Fisher information in order statistics and their concomitants for Cambanis bivariate distribution 坎巴尼斯二元分布的费雪信息阶次统计及其伴随因素
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-05-28 DOI: 10.1515/ms-2024-0038
Islam A. Husseiny, Haroon M. Barakat, Taher S. Taher, Metwally A. Alawady
{"title":"Fisher information in order statistics and their concomitants for Cambanis bivariate distribution","authors":"Islam A. Husseiny, Haroon M. Barakat, Taher S. Taher, Metwally A. Alawady","doi":"10.1515/ms-2024-0038","DOIUrl":"https://doi.org/10.1515/ms-2024-0038","url":null,"abstract":"The Fisher information matrix (FIM) relevant to order statistics (OSs) and their concomitants of the shape-parameters vector of the Cambanis bivariate distribution is investigated. Singly or multiply censored bivariate samples drawn from the Cambanis bivariate distribution are used to obtain the Fisher information (FI). In addition, the FI contained in the scale and shape parameters of generalized exponential distributions in the concomitants of OSs is obtained. The cumulative residual FI in the concomitant of OSs based on the Cambanis family is theoretically and numerically studied. Finally, a bivariate real-world data set has been analyzed for illustrative purposes, and the performance of the proposed method is quite satisfactory.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"61 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141168533","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
Exact-m-majority terms 精确多数术语
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-05-28 DOI: 10.1515/ms-2024-0022
Paolo Lipparini
{"title":"Exact-m-majority terms","authors":"Paolo Lipparini","doi":"10.1515/ms-2024-0022","DOIUrl":"https://doi.org/10.1515/ms-2024-0022","url":null,"abstract":"We say that an idempotent term <jats:italic>t</jats:italic> is an <jats:italic>exact</jats:italic>-<jats:italic>m</jats:italic>-<jats:italic>majority term</jats:italic> if <jats:italic>t</jats:italic> evaluates to <jats:italic>a</jats:italic>, whenever the element <jats:italic>a</jats:italic> occurs exactly <jats:italic>m</jats:italic> times in the arguments of <jats:italic>t</jats:italic>, and all the other arguments are equal. If <jats:italic>m</jats:italic> &lt; <jats:italic>n</jats:italic> and some variety 𝓥 has an <jats:italic>n</jats:italic>-ary exact-<jats:italic>m</jats:italic>-majority term, then 𝓥 is congruence modular. For certain values of <jats:italic>n</jats:italic> and <jats:italic>m</jats:italic>, for example, <jats:italic>n</jats:italic> = 5 and <jats:italic>m</jats:italic> = 3, the existence of an <jats:italic>n</jats:italic>-ary exact-<jats:italic>m</jats:italic>-majority term neither implies congruence distributivity, nor congruence permutability.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"48 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141168460","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
Variations of star selection principles on hyperspaces 超空间上星形选择原理的变体
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-05-28 DOI: 10.1515/ms-2024-0013
Javier Casas-de la Rosa
{"title":"Variations of star selection principles on hyperspaces","authors":"Javier Casas-de la Rosa","doi":"10.1515/ms-2024-0013","DOIUrl":"https://doi.org/10.1515/ms-2024-0013","url":null,"abstract":"In this paper, we define some combinatorial principles to characterize spaces <jats:italic>X</jats:italic> whose hyperspace satisfies some variation of some classical star selection principle. Specifically, the variations characterized are the selective and absolute versions of the star selection principles for the Menger and Rothberger cases; also, the hyperspaces considered in these characterizations are <jats:italic>CL</jats:italic>(<jats:italic>X</jats:italic>), 𝕂(<jats:italic>X</jats:italic>), 𝔽(<jats:italic>X</jats:italic>) and ℂ𝕊(<jats:italic>X</jats:italic>) in both cases, endowed with either the Fell topology or the Vietoris topology.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"38 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141168462","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 lower density operators 关于低密度算子
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-05-28 DOI: 10.1515/ms-2024-0014
Gertruda Ivanova, Elżbieta Wagner-Bojakowska
{"title":"On lower density operators","authors":"Gertruda Ivanova, Elżbieta Wagner-Bojakowska","doi":"10.1515/ms-2024-0014","DOIUrl":"https://doi.org/10.1515/ms-2024-0014","url":null,"abstract":"The classical density topology is an extension of the natural topology on the real line, as the interior of arbitrary Lebesgue measurable set <jats:italic>A</jats:italic> is contained in the set of density points of <jats:italic>A</jats:italic>. Also each density point of <jats:italic>A</jats:italic> belongs to the closure of <jats:italic>A</jats:italic> for arbitrary measurable set <jats:italic>A</jats:italic>. In this paper, we concentrate on lower density operators for which the inclusions mentioned above are not fulfilled. In the first part, examples of such lower density operators generated by measure-preserving bijections are given. There are introduced three conditions to investigate lower density operators for which only the second inclusion holds. In the second part, the concept of operator <jats:italic>D</jats:italic> introduced by K. Kuratowski is applied to the characterization of such operators.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"59 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141168534","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
Topological representation of some lattices 某些网格的拓扑表示
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-05-28 DOI: 10.1515/ms-2024-0021
Ali Taherifar, Mohamad Reza Ahmadi Zand
{"title":"Topological representation of some lattices","authors":"Ali Taherifar, Mohamad Reza Ahmadi Zand","doi":"10.1515/ms-2024-0021","DOIUrl":"https://doi.org/10.1515/ms-2024-0021","url":null,"abstract":"In this paper, we first give a topological representation of some algebraic lattices of ideals of <jats:italic>C</jats:italic>(<jats:italic>X</jats:italic>). Next, we apply these results and prove that a space <jats:italic>X</jats:italic> is normal if and only if the lattice of closed fixed ideals of <jats:italic>C</jats:italic>(<jats:italic>X</jats:italic>) is a sublattice of the lattice of ideals of <jats:italic>C</jats:italic>(<jats:italic>X</jats:italic>). It is proved that if two rings <jats:italic>C</jats:italic>(<jats:italic>X</jats:italic>) and <jats:italic>C</jats:italic>(<jats:italic>Y</jats:italic>) are isomorphic, then two lattices <jats:italic>Z</jats:italic> <jats:sup>∘</jats:sup>[<jats:italic>X</jats:italic>] and <jats:italic>Z</jats:italic> <jats:sup>∘</jats:sup>[<jats:italic>Y</jats:italic>] are isomorphic. We conclude that two rings <jats:italic>C</jats:italic> <jats:sup>*</jats:sup>(<jats:italic>X</jats:italic>) and <jats:italic>C</jats:italic> <jats:sup>*</jats:sup>(<jats:italic>Y</jats:italic>) are isomorphic if and only if two lattices <jats:italic>Z</jats:italic>[<jats:italic>βX</jats:italic>] and <jats:italic>Z</jats:italic>[<jats:italic>βY</jats:italic>] are isomorphic.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"10 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141170122","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
The pointfree version of 𝓒 c (X) via the ranges of functions 通过函数范围得到的𝓒 c (X) 的无点版本
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-05-28 DOI: 10.1515/ms-2024-0003
Maryam Taha, Ali Akbar Estaji, Maryam Robat Sarpoushi
{"title":"The pointfree version of 𝓒 c (X) via the ranges of functions","authors":"Maryam Taha, Ali Akbar Estaji, Maryam Robat Sarpoushi","doi":"10.1515/ms-2024-0003","DOIUrl":"https://doi.org/10.1515/ms-2024-0003","url":null,"abstract":"Let <jats:italic>R</jats:italic> <jats:sub> <jats:italic>α</jats:italic> </jats:sub> := {<jats:italic>r</jats:italic> ∈ ℝ : coz(<jats:italic>α</jats:italic> − <jats:italic>r</jats:italic>) ≠ → <jats:italic>p</jats:italic>} for every <jats:italic>α</jats:italic> ∈ 𝓡(<jats:italic>L</jats:italic>). The ring 𝓒<jats:sub> <jats:italic>c</jats:italic> </jats:sub> (<jats:italic>L</jats:italic>) is introduced as a pointfree version of the subring 𝓒<jats:sub> <jats:italic>c</jats:italic> </jats:sub>(<jats:italic>X</jats:italic>) of <jats:italic>C</jats:italic>(<jats:italic>X</jats:italic>) by <jats:italic>R</jats:italic> <jats:sub> <jats:italic>α</jats:italic> </jats:sub>. In this paper, we show that 𝓒<jats:sub> <jats:italic>c</jats:italic> </jats:sub>(<jats:italic>X</jats:italic>) is a <jats:italic>z</jats:italic>-good ring and every radical ideal in it is an absolutely convex ideal. Also, we study this result which for any frame <jats:italic>L</jats:italic>, there exists a zero-dimensional frame <jats:italic>M</jats:italic>, which is a continuous image of <jats:italic>L</jats:italic> and 𝓒<jats:sub> <jats:italic>c</jats:italic> </jats:sub>(<jats:italic>L</jats:italic>) ≅ 𝓒<jats:sub> <jats:italic>c</jats:italic> </jats:sub>(<jats:italic>M</jats:italic>).","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"39 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141168733","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
Certain radii problems for 𝓢∗(ψ) and special functions 𝓢∗(ψ)和特殊函数的某些半径问题
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-05-28 DOI: 10.1515/ms-2024-0006
Kamaljeet Gangania, S. Sivaprasad Kumar
{"title":"Certain radii problems for 𝓢∗(ψ) and special functions","authors":"Kamaljeet Gangania, S. Sivaprasad Kumar","doi":"10.1515/ms-2024-0006","DOIUrl":"https://doi.org/10.1515/ms-2024-0006","url":null,"abstract":"In Geometric function theory, the Ma-Minda class of starlike functions has a unique place as it unifies various subclasses of starlike functions. There has been an vivid interplay between special functions and their geometric properties, like starlikeness. In this article, we establish certain special function’s radius of Ma-Minda starlikness. As an application, we obtain conditions on parameters for these special functions to be in the Ma-Minda class. Further, we focus on certain convolution properties for the Ma-Minda class that are not done so far, and study their applications in radius problem. Finally, we prove a variational problem of Goluzin, namely, the region of variability for the Ma-Minda class. Our results simplify and generalize the already-known ones.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"48 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141168458","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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