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Compact subsets of C λ,u (X) C λ,u (X) 的紧凑子集
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-05-28 DOI: 10.1515/ms-2024-0012
Prashant Kumar, Pratibha Garg
{"title":"Compact subsets of C λ,u (X)","authors":"Prashant Kumar, Pratibha Garg","doi":"10.1515/ms-2024-0012","DOIUrl":"https://doi.org/10.1515/ms-2024-0012","url":null,"abstract":"The famous Ascoli-Arzelà theorem served as a springboard for research into compactness in function spaces, particularly spaces of continuous functions. This paper investigates compact subsets of spaces of continuous functions endowed with topologies between the topology of pointwise convergence and the topology of uniform convergence. More precisely, this paper studies necessary and sufficient conditions for a subset to be compact in <jats:italic>C</jats:italic> <jats:sub> <jats:italic>λ</jats:italic>,<jats:italic>u</jats:italic> </jats:sub>(<jats:italic>X</jats:italic>) for a locally-<jats:italic>λ</jats:italic> space <jats:italic>X</jats:italic> when <jats:italic>λ</jats:italic> ⊇ 𝓕(<jats:italic>X</jats:italic>), for a hemi-<jats:overline> <jats:italic>λ</jats:italic> </jats:overline> <jats:italic>λ<jats:sub>f</jats:sub> </jats:italic>-space <jats:italic>X</jats:italic> when <jats:italic>λ</jats:italic> ⊆ 𝓟 𝓢(<jats:italic>X</jats:italic>), and for a <jats:italic>k</jats:italic>-space <jats:italic>X</jats:italic> when <jats:italic>λ</jats:italic> ⊇ 𝓚(<jats:italic>X</jats:italic>). This paper also studies that every bounded subset of <jats:italic>C</jats:italic> <jats:sub> <jats:italic>λ</jats:italic>,<jats:italic>u</jats:italic> </jats:sub>(<jats:italic>X</jats:italic>) has compact closure for some classes of topological spaces <jats:italic>X</jats:italic>.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141168608","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 hyper (r, q)-Fibonacci polynomials 关于超（r，q）-斐波那契多项式
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-05-28 DOI: 10.1515/ms-2024-0002
Hacéne Belbachir, Fariza Krim
{"title":"On hyper (r, q)-Fibonacci polynomials","authors":"Hacéne Belbachir, Fariza Krim","doi":"10.1515/ms-2024-0002","DOIUrl":"https://doi.org/10.1515/ms-2024-0002","url":null,"abstract":"Related to generalized arithmetic triangle, we introduce the hyper (<jats:italic>r</jats:italic>, <jats:italic>q</jats:italic>)-Fibonacci polynomials as the sum of these elements along a finite ray starting from a specific point, which generalize the hyper-Fibonacci polynomials. We give generating function, recurrence relations and we show some properties whose application allows us to extend the notion of Cassini determinant and to study some ratios. Moreover, we derive a connection between these polynomials and the incomplete (<jats:italic>r</jats:italic>, <jats:italic>q</jats:italic>)-Fibonacci polynomials defined in this paper.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141168636","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":null,"pages":null},"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
Irreducibility of strong size levels 强尺寸等级的不可还原性
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2024-05-28 DOI: 10.1515/ms-2024-0039
Alejandro Illanes, Verónica Martínez-de-la-Vega
{"title":"Irreducibility of strong size levels","authors":"Alejandro Illanes, Verónica Martínez-de-la-Vega","doi":"10.1515/ms-2024-0039","DOIUrl":"https://doi.org/10.1515/ms-2024-0039","url":null,"abstract":"Given a continuum <jats:italic>X</jats:italic>, <jats:italic>C<jats:sub>n</jats:sub> </jats:italic>(<jats:italic>X</jats:italic>) denotes the hyperspace of nonempty closed subsets of <jats:italic>X</jats:italic> with at most <jats:italic>n</jats:italic> components. A strong size level is a subset of the form <jats:italic>σ</jats:italic> <jats:sup>−1</jats:sup>(<jats:italic>t</jats:italic>), where <jats:italic>σ</jats:italic> is a strong size map for <jats:italic>C<jats:sub>n</jats:sub> </jats:italic>(<jats:italic>X</jats:italic>) and <jats:italic>t</jats:italic> ∈ (0, 1]. In this paper, answering a question by Capulín-Pérez, Fuentes-Montes de Oca, Lara-Mejía and Orozco-Zitli, we prove that for each <jats:italic>n</jats:italic> ≥ 2, no strong size level for <jats:italic>C<jats:sub>n</jats:sub> </jats:italic>(<jats:italic>X</jats:italic>) is irreducible.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141170129","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 Alpha Power Muth-G Distributions and Its Applications in Survival and Reliability Analyses 阿尔法幂 Muth-G 分布及其在生存和可靠性分析中的应用
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2023-12-01 DOI: 10.1515/ms-2023-0116
J. T. Eghwerido, Ikechukwu Friday Agu
{"title":"The Alpha Power Muth-G Distributions and Its Applications in Survival and Reliability Analyses","authors":"J. T. Eghwerido, Ikechukwu Friday Agu","doi":"10.1515/ms-2023-0116","DOIUrl":"https://doi.org/10.1515/ms-2023-0116","url":null,"abstract":"ABSTRACT The generalization of the family of distributions that could provide a simple, and efficient algorithm for parameter estimation and study of the behavior of datasets from various fields has received significant interest. Such a model has enormous advantages, such as its flexible nature, and the regression form can easily be derived. In the literature, various generalized families of distributions have been introduced. Despite the merits of these distributions, they still have some limitations due to many parameters in the model. Thus, the estimation of parameters often becomes cumbersome. Therefore, this study introduced the alpha power Muth or Teissier-G family of continuous distributions with well-defined parameters, and obtained the joint progressive type-II censoring scheme and their reliability measures. Furthermore, we obtained the global and local influences of the APTG model. We used real-life and simulated data to evaluate the numerical applications of the introduced model. The results show that the alpha power Muth or Teissier-G family of distributions gave the best fits to both datasets than some existing models.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138988194","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 the Differential-Difference Sine-Gordon Equation with an Integral Type Source 关于带有积分型源的微分-差分正弦-戈登方程
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2023-12-01 DOI: 10.1515/ms-2023-0108
B. Babajanov, Michal Fečkan, Aygul Babadjanova
{"title":"On the Differential-Difference Sine-Gordon Equation with an Integral Type Source","authors":"B. Babajanov, Michal Fečkan, Aygul Babadjanova","doi":"10.1515/ms-2023-0108","DOIUrl":"https://doi.org/10.1515/ms-2023-0108","url":null,"abstract":"ABSTRACT In this work, we study the integration of the differential-difference sine-Gordon equation with an integral type source. We deduce the time performance of the scattering data of the spectral problem which is associated with the discrete sine-Gordon equation. Using the inverse scattering method, we integrate the Cauchy problem for the differential-difference sine-Gordon equation with the integral type source in the class of the rapidly decreasing functions.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139017636","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 Transcendental Regular Continued Fractions 论超越正则连续分数
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2023-12-01 DOI: 10.1515/ms-2023-0101
Gülcan Kekeç
{"title":"On Transcendental Regular Continued Fractions","authors":"Gülcan Kekeç","doi":"10.1515/ms-2023-0101","DOIUrl":"https://doi.org/10.1515/ms-2023-0101","url":null,"abstract":"ABSTRACT We establish explicit constructions of real transcendental numbers that are not U-numbers with respect to Mahler’s classification by using regular continued fraction expansions of irrational real algebraic numbers.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139024313","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 Anti-Symmetry Laws in Groupoids 类群中的广义反对称律
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2023-12-01 DOI: 10.1515/ms-2023-0104
Sun Shin Ahn, Hee Sik Kim, Young Joo Seo
{"title":"Generalized Anti-Symmetry Laws in Groupoids","authors":"Sun Shin Ahn, Hee Sik Kim, Young Joo Seo","doi":"10.1515/ms-2023-0104","DOIUrl":"https://doi.org/10.1515/ms-2023-0104","url":null,"abstract":"ABSTRACT In this paper, we introduce the notion of generalized anti-symmetry laws in groupoids, and we apply this concept to several algebraic structures. Moreover, we show that every Fibonacci sequence on (C, *) is periodic.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138991806","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
Distributivity of a Uni-nullnorm with Continuous and Archimedean Underlying T-norms and T-conorms Over an Arbitrary Uninorm 具有连续和阿基米德基础 T-norms 和 T-conorms 的 Uni-nullnorm 在任意 Uninorm 上的可分配性
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2023-12-01 DOI: 10.1515/ms-2023-0110
D. Jocic, I. Štajner-Papuga
{"title":"Distributivity of a Uni-nullnorm with Continuous and Archimedean Underlying T-norms and T-conorms Over an Arbitrary Uninorm","authors":"D. Jocic, I. Štajner-Papuga","doi":"10.1515/ms-2023-0110","DOIUrl":"https://doi.org/10.1515/ms-2023-0110","url":null,"abstract":"ABSTRACT The issue of distributivity of aggregation operators is crucial for many different areas such as fuzzy sets and fuzzy logic, pseudo-analysis and measure theory, and particulary in the decision making theory. The problem of distributivity of an operator form a special class of uni-nullnorms over a general uninorm is being addressed through this paper. The class in question consists of uni-nullnorms with continuous and Archimedean underlying t-norms and t-conorms, and the results presented here are a natural continuation and extension of some previous works with an emphasis on a much wider class of uninorms as inner operators.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139013656","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
Weakly Einstein Equivalence in a Golden Space Form and Certain CR-submanifolds 黄金空间形式和某些 CR 子曼形中的弱爱因斯坦等价性
IF 1.6 3区 数学
Mathematica Slovaca Pub Date : 2023-12-01 DOI: 10.1515/ms-2023-0117
Jihun Kim, Jeonghyeong Park, Bayram Şahin
{"title":"Weakly Einstein Equivalence in a Golden Space Form and Certain CR-submanifolds","authors":"Jihun Kim, Jeonghyeong Park, Bayram Şahin","doi":"10.1515/ms-2023-0117","DOIUrl":"https://doi.org/10.1515/ms-2023-0117","url":null,"abstract":"ABSTRACT It is known that the Golden space form may not be an Einstein manifold. In this paper, it is shown that the condition to be Einstein for a Golden space form is equivalent to being weakly Einstein. In addition, the partial geodesic and cyclic parallelism of the CR-submanifolds of a Golden space are examined, and the case of the constant Golden sectional curvature is determined. Moreover, the CR-submanifolds with semi-flat normal connection are studied and an inequality is obtained. The equality case of this inequality is also checked. We also consider the totally umbilical CR-submanifold of Golden Riemannian manifolds and show that such submanifolds are totally geodesic under certain conditions. Furthermore, we obtain an inequality involving the scalar curvature of CR-submanifold and check the existence of extrinsic spheres in Golden space forms.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139021638","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: 1
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