发布求助
文献互助 智能选刊 最新文献

Tatra Mountains Mathematical Publications最新文献

筛选
英文 中文
Hahn-Banach-Type Theorems and Subdifferentials for Invariant and Equivariant Order Continuous Vector Lattice-Valued Operators with Applications to Optimization 不变和等变阶连续向量格值算子的Hahn-Banach型定理和次微分及其在优化中的应用
Tatra Mountains Mathematical Publications Pub Date : 2021-10-01 DOI: 10.2478/tmmp-2021-0010
A. Boccuto
{"title":"Hahn-Banach-Type Theorems and Subdifferentials for Invariant and Equivariant Order Continuous Vector Lattice-Valued Operators with Applications to Optimization","authors":"A. Boccuto","doi":"10.2478/tmmp-2021-0010","DOIUrl":"https://doi.org/10.2478/tmmp-2021-0010","url":null,"abstract":"Abstract We give some versions of Hahn-Banach, sandwich, duality, Moreau--Rockafellar-type theorems, optimality conditions and a formula for the subdifferential of composite functions for order continuous vector lattice-valued operators, invariant or equivariant with respect to a fixed group G of homomorphisms. As applications to optimization problems with both convex and linear constraints, we present some Farkas and Kuhn-Tucker-type results.","PeriodicalId":38690,"journal":{"name":"Tatra Mountains Mathematical Publications","volume":"78 1","pages":"139 - 156"},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46125574","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Łukasiewicz Logic and the Divisible Extension of Probability Theory Łukasiewicz逻辑与概率论的可分扩展
Tatra Mountains Mathematical Publications Pub Date : 2021-10-01 DOI: 10.2478/tmmp-2021-0008
R. Fric
{"title":"Łukasiewicz Logic and the Divisible Extension of Probability Theory","authors":"R. Fric","doi":"10.2478/tmmp-2021-0008","DOIUrl":"https://doi.org/10.2478/tmmp-2021-0008","url":null,"abstract":"Abstract We show that measurable fuzzy sets carrying the multivalued Łukasiewicz logic lead to a natural generalization of the classical Kolmogorovian probability theory. The transition from Boolean logic to Łukasiewicz logic has a categorical background and the resulting divisible probability theory possesses both fuzzy and quantum qualities. Observables of the divisible probability theory play an analogous role as classical random variables: to convey stochastic information from one system to another one. Observables preserving the Łukasiewicz logic are called conservative and characterize the “classical core” of divisible probability theory. They send crisp random events to crisp random events and Dirac probability measures to Dirac probability measures. The nonconservative observables send some crisp random events to genuine fuzzy events and some Dirac probability measures to nondegenerated probability measures. They constitute the added value of transition from classical to divisible probability theory.","PeriodicalId":38690,"journal":{"name":"Tatra Mountains Mathematical Publications","volume":"78 1","pages":"119 - 128"},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43526544","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Star-K-I-Hurewicz Property 关于Star-K-I-Hurewicz性质
Tatra Mountains Mathematical Publications Pub Date : 2021-10-01 DOI: 10.2478/tmmp-2021-0011
Sumit Singh, Harsh V. S. Chauhan, Vikesh Kumar
{"title":"On Star-K-I-Hurewicz Property","authors":"Sumit Singh, Harsh V. S. Chauhan, Vikesh Kumar","doi":"10.2478/tmmp-2021-0011","DOIUrl":"https://doi.org/10.2478/tmmp-2021-0011","url":null,"abstract":"Abstract A space X is said to have the star-K-I-Hurewicz property (SKIH) [Tyagi, B. K.—Singh, S.—Bhardwaj, M. Ideal analogues of some variants of Hurewicz property, Filomat 33 (2019), no. 9, 2725–2734] if for each sequence (Un : n ∈ ℕ) of open covers of X there is a sequence (Kn : n ∈ ℕ) of compact subsets of X such that for each x ∈ X, {n ∈ ℕ : x ∉ St(Kn, Un)} ∈ I, where I is the proper admissible ideal of ℕ. In this paper, we continue to investigate the relationship between the SKIH property and other related properties and study the topological properties of the SKIH property.","PeriodicalId":38690,"journal":{"name":"Tatra Mountains Mathematical Publications","volume":"78 1","pages":"157 - 166"},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44193686","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A Fixed Point Approach to the Hyers-Ulam-Rassias Stability Problem of Pexiderized Functional Equation in Modular Spaces 模空间中泛函方程Hyers-Ulam-Rassias稳定性问题的不动点逼近
Tatra Mountains Mathematical Publications Pub Date : 2021-10-01 DOI: 10.2478/tmmp-2021-0005
P. Saha, P. Mondal, Binayak S. Chqudhury
{"title":"A Fixed Point Approach to the Hyers-Ulam-Rassias Stability Problem of Pexiderized Functional Equation in Modular Spaces","authors":"P. Saha, P. Mondal, Binayak S. Chqudhury","doi":"10.2478/tmmp-2021-0005","DOIUrl":"https://doi.org/10.2478/tmmp-2021-0005","url":null,"abstract":"Abstract In this paper, we consider pexiderized functional equations for studying their Hyers-Ulam-Rassias stability. This stability has been studied for a variety of mathematical structures. Our framework of discussion is a modular space. We adopt a fixed-point approach to the problem in which we use a generalized contraction mapping principle in modular spaces. The result is illustrated with an example.","PeriodicalId":38690,"journal":{"name":"Tatra Mountains Mathematical Publications","volume":"78 1","pages":"59 - 72"},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48700053","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Certain Subclass of Analytic Functions with Negative Coefficients Defined by Gegenbauer Polynomials 由Gegenbauer多项式定义的负系数解析函数的一个子类
Tatra Mountains Mathematical Publications Pub Date : 2021-10-01 DOI: 10.2478/tmmp-2021-0006
B. Venkateswarlu, P. Reddy, S. Sridevi, Vaishnavy Sujatha
{"title":"A Certain Subclass of Analytic Functions with Negative Coefficients Defined by Gegenbauer Polynomials","authors":"B. Venkateswarlu, P. Reddy, S. Sridevi, Vaishnavy Sujatha","doi":"10.2478/tmmp-2021-0006","DOIUrl":"https://doi.org/10.2478/tmmp-2021-0006","url":null,"abstract":"Abstract In this paper, we introduce a new subclass of analytic functions with negative coefficients defined by Gegenbauer polynomials. We obtain coefficient bounds, growth and distortion properties, extreme points and radii of starlikeness, convexity and close-to-convexity for functions belonging to the class TSλm(γ,e,k,v)TS_lambda ^m(gamma ,e,k,v). Furthermore, we obtained the Fekete-Szego problem for this class.","PeriodicalId":38690,"journal":{"name":"Tatra Mountains Mathematical Publications","volume":"78 1","pages":"73 - 84"},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41867738","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
The Family of Central Cantor Sets with Packing Dimension Zero 集维为零的中心康托集族
Tatra Mountains Mathematical Publications Pub Date : 2021-10-01 DOI: 10.2478/tmmp-2021-0001
P. Nowakowski
{"title":"The Family of Central Cantor Sets with Packing Dimension Zero","authors":"P. Nowakowski","doi":"10.2478/tmmp-2021-0001","DOIUrl":"https://doi.org/10.2478/tmmp-2021-0001","url":null,"abstract":"Abstract As in the recent article of M. Balcerzak, T. Filipczak and P. Nowakowski, we identify the family CS of central Cantor subsets of [0, 1] with the Polish space X : = (0, 1)ℕ equipped with the probability product measure µ. We investigate the size of the family P0 of sets in CS with packing dimension zero. We show that P0 is meager and of µ measure zero while it is treated as the corresponding subset of X. We also check possible inclusions between P0 and other subfamilies CS consisting of small sets.","PeriodicalId":38690,"journal":{"name":"Tatra Mountains Mathematical Publications","volume":"78 1","pages":"1 - 8"},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44545999","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Controllability of Nonlocal Impulsive Functional Differential Equations with Measure of Noncompactness in Banach Spaces Banach空间中具有非紧性测度的非局部脉冲泛函微分方程的能控性
Tatra Mountains Mathematical Publications Pub Date : 2021-05-09 DOI: 10.22436/JNSA.014.06.03
Dlmplekumar N. Chalishajar, K. Karthikeyan, Dhachinamoorthi Tamizharasan
{"title":"Controllability of Nonlocal Impulsive Functional Differential Equations with Measure of Noncompactness in Banach Spaces","authors":"Dlmplekumar N. Chalishajar, K. Karthikeyan, Dhachinamoorthi Tamizharasan","doi":"10.22436/JNSA.014.06.03","DOIUrl":"https://doi.org/10.22436/JNSA.014.06.03","url":null,"abstract":"Abstract This paper is concerned with the controllability of impulsive differential equations with nonlocal conditions. First, we establish a property of measure of noncompactness in the space of piecewise continuous functions. Then, by using this property and Darbo-Sadovskii’s Fixed Point Theorem, we get the controllability of nonlocal impulsive differential equations under compactness conditions, Lipschitz conditions and mixed-type conditions, respectively.","PeriodicalId":38690,"journal":{"name":"Tatra Mountains Mathematical Publications","volume":"79 1","pages":"59 - 80"},"PeriodicalIF":0.0,"publicationDate":"2021-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47098599","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
What was the River Ister in the Time of Strabo? A Mathematical Approach 斯特拉博时代的伊斯特河是什么？数学方法
Tatra Mountains Mathematical Publications Pub Date : 2021-01-16 DOI: 10.2478/tmmp-2021-0032
K. Mikula, M. Ambroz, Renáta Mokošová
{"title":"What was the River Ister in the Time of Strabo? A Mathematical Approach","authors":"K. Mikula, M. Ambroz, Renáta Mokošová","doi":"10.2478/tmmp-2021-0032","DOIUrl":"https://doi.org/10.2478/tmmp-2021-0032","url":null,"abstract":"Abstract We introduce a novel method for map registration and apply it to transformation of the river Ister from Strabo’s map of the World to the current map in the World Geodetic System. This transformation leads to the surprising but convincing result that Strabo’s river Ister best coincides with the nowadays Tauernbach-Isel-Drava-Danube course and not with the Danube river what is commonly assumed. Such a result is supported by carefully designed mathematical measurements and it resolves all related controversies otherwise appearing in understanding and translation of Strabo’s original text. Based on this result, we also show that Strabo’s Suevi in the Hercynian Forest corresponds to the Slavic people in the Carpathian-Alpine basin and thus that the compact Slavic settlement was there already at the beginning of the first millennium AD.","PeriodicalId":38690,"journal":{"name":"Tatra Mountains Mathematical Publications","volume":"80 1","pages":"71 - 118"},"PeriodicalIF":0.0,"publicationDate":"2021-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47549094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Functions Preserving Products of Certain Classes of Semimetric Spaces 关于一类半度量空间的保积函数
Tatra Mountains Mathematical Publications Pub Date : 2020-12-31 DOI: 10.2478/tmmp-2021-0013
Mateusz Lichman, P. Nowakowski, Filip Tcroboś
{"title":"On Functions Preserving Products of Certain Classes of Semimetric Spaces","authors":"Mateusz Lichman, P. Nowakowski, Filip Tcroboś","doi":"10.2478/tmmp-2021-0013","DOIUrl":"https://doi.org/10.2478/tmmp-2021-0013","url":null,"abstract":"Abstract In the paper, we continue the research of Borsík and Doboš on functions which allow us to introduce a metric to the product of metric spaces. We extend their scope to a broader class of spaces which usually fail to satisfy the triangle inequality, albeit they tend to satisfy some weaker form of this axiom. In particular, we examine the behavior of functions preserving b-metric inequality. We provide analogues of the results of Borsík and Doboš adjusted to the new broader setting. The results we obtained are illustrated with multitude of examples. Furthermore, the connections of newly introduced families of functions with the ones already known from the literature are investigated.","PeriodicalId":38690,"journal":{"name":"Tatra Mountains Mathematical Publications","volume":"78 1","pages":"175 - 198"},"PeriodicalIF":0.0,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47691531","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On J(r, n)-Jacobsthal Hybrid Numbers 关于J(r, n)-雅各布杂数
Tatra Mountains Mathematical Publications Pub Date : 2020-12-01 DOI: 10.2478/tmmp-2020-0028
D. Bród, A. Szynal-Liana
{"title":"On J(r, n)-Jacobsthal Hybrid Numbers","authors":"D. Bród, A. Szynal-Liana","doi":"10.2478/tmmp-2020-0028","DOIUrl":"https://doi.org/10.2478/tmmp-2020-0028","url":null,"abstract":"Abstract In this paper we introduce a generalization of Jacobsthal hybrid numbers – J(r, n)-Jacobsthal hybrid numbers. We give some of their properties: character, Binet’s formula, a summation formula and a generating function.","PeriodicalId":38690,"journal":{"name":"Tatra Mountains Mathematical Publications","volume":"77 1","pages":"13 - 26"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41417106","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信