Pub Date : 2019-12-01DOI: 10.1556/012.2019.56.4.1442
V. Tkachuk
We prove that, for any cofinally Polish spaceX, every locally finite family of non-empty open subsets ofXis countable. It is also established that Lindelöf domain representable spaces are cofinally Polish and domain representability coincides with subcompactness in the class ofσ-compact spaces. It turns out that, for a topological groupGwhose space has the Lindelöf Σ-property, the spaceGis domain representable if and only if it is Čech-complete. Our results solve several published open questions.
{"title":"Domain representable Lindelöf spaces are cofinally Polish","authors":"V. Tkachuk","doi":"10.1556/012.2019.56.4.1442","DOIUrl":"https://doi.org/10.1556/012.2019.56.4.1442","url":null,"abstract":"We prove that, for any cofinally Polish spaceX, every locally finite family of non-empty open subsets ofXis countable. It is also established that Lindelöf domain representable spaces are cofinally Polish and domain representability coincides with subcompactness in the class ofσ-compact spaces. It turns out that, for a topological groupGwhose space has the Lindelöf Σ-property, the spaceGis domain representable if and only if it is Čech-complete. Our results solve several published open questions.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"9 1","pages":"523-535"},"PeriodicalIF":0.7,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90446560","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}
Pub Date : 2019-12-01DOI: 10.1556/012.2019.56.4.1446
Rahul Thakur, Ruchi Das
Abstract In this paper, it has been investigated that how various stronger notions of sensitivity like 𝓕-sensitive, multi-𝓕-sensitive, (𝓕1, 𝓕2)-sensitive, etc., where 𝓕, 𝓕1, 𝓕2 are Furstenberg fami...
{"title":"Stronger forms of sensitivity on product dynamical system via Furstenberg families","authors":"Rahul Thakur, Ruchi Das","doi":"10.1556/012.2019.56.4.1446","DOIUrl":"https://doi.org/10.1556/012.2019.56.4.1446","url":null,"abstract":"Abstract In this paper, it has been investigated that how various stronger notions of sensitivity like 𝓕-sensitive, multi-𝓕-sensitive, (𝓕1, 𝓕2)-sensitive, etc., where 𝓕, 𝓕1, 𝓕2 are Furstenberg fami...","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"43 1","pages":"440-453"},"PeriodicalIF":0.7,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76275126","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}
Pub Date : 2019-12-01DOI: 10.1556/012.2019.56.4.1437
Safyan Ahmad, S. Kanwal
Abstract We present a technique to construct Cohen–Macaulay graphs from a given graph; if this graph fulfills certain conditions. As a consequence, we characterize Cohen–Macaulay paths.
{"title":"A Construction of Cohen-Macaulay Graphs","authors":"Safyan Ahmad, S. Kanwal","doi":"10.1556/012.2019.56.4.1437","DOIUrl":"https://doi.org/10.1556/012.2019.56.4.1437","url":null,"abstract":"Abstract We present a technique to construct Cohen–Macaulay graphs from a given graph; if this graph fulfills certain conditions. As a consequence, we characterize Cohen–Macaulay paths.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"12 1","pages":"492-499"},"PeriodicalIF":0.7,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74022364","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}
Pub Date : 2019-12-01DOI: 10.1556/012.2019.56.4.1445
V. Madaan, Ajay Kumar, V. Ravichandran
Abstract Sufficient conditions on associated parameters p, b and c are obtained so that the generalized and “normalized” Bessel function up(z) = up,b,c(z) satisfies the inequalities ∣(1 + (zu″p(z)/...
{"title":"Lemniscate convexity of generalized Bessel functions","authors":"V. Madaan, Ajay Kumar, V. Ravichandran","doi":"10.1556/012.2019.56.4.1445","DOIUrl":"https://doi.org/10.1556/012.2019.56.4.1445","url":null,"abstract":"Abstract Sufficient conditions on associated parameters p, b and c are obtained so that the generalized and “normalized” Bessel function up(z) = up,b,c(z) satisfies the inequalities ∣(1 + (zu″p(z)/...","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"58 1","pages":"404-419"},"PeriodicalIF":0.7,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83689256","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}
Pub Date : 2019-12-01DOI: 10.1556/012.2019.56.4.1440
Jhon J. Bravo, F. Luca
Abstract The Pell sequence (Pn)n=0∞ is given by the recurrence Pn = 2Pn−1 + Pn−2 with initial condition P0 = 0, P1 = 1 and its associated Pell-Lucas sequence (Qn)n=0∞ is given by the same recurrenc...
{"title":"Perfect Pell and Pell–Lucas numbers","authors":"Jhon J. Bravo, F. Luca","doi":"10.1556/012.2019.56.4.1440","DOIUrl":"https://doi.org/10.1556/012.2019.56.4.1440","url":null,"abstract":"Abstract The Pell sequence (Pn)n=0∞ is given by the recurrence Pn = 2Pn−1 + Pn−2 with initial condition P0 = 0, P1 = 1 and its associated Pell-Lucas sequence (Qn)n=0∞ is given by the same recurrenc...","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"12 1","pages":"381-387"},"PeriodicalIF":0.7,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83886967","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}
Pub Date : 2019-12-01DOI: 10.1556/012.2019.56.4.1443
D. Kaptan
Abstract We record an implication between a recent result due to Li, Pratt and Shakan and large gaps between arithmetic progressions.
摘要我们记录了Li, Pratt和Shakan最近的结果与等差数列之间的大差距之间的含义。
{"title":"A remark on large gaps between primes in arithmetic progressions","authors":"D. Kaptan","doi":"10.1556/012.2019.56.4.1443","DOIUrl":"https://doi.org/10.1556/012.2019.56.4.1443","url":null,"abstract":"Abstract We record an implication between a recent result due to Li, Pratt and Shakan and large gaps between arithmetic progressions.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"198 1","pages":"536-537"},"PeriodicalIF":0.7,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73750538","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}
Pub Date : 2019-12-01DOI: 10.1556/012.2019.56.4.1448
N. Babayan, M. Ginovyan
Abstract In this paper, we obtain necessary as well as sufficient conditions for exponential rate of decrease of the variance of the best linear unbiased estimator (BLUE) for the unknown mean of a ...
摘要本文给出了一类未知均值的最佳线性无偏估计量(BLUE)方差呈指数衰减的充分必要条件。
{"title":"On exponential decay of the variance of BLUE for the mean of a stationary sequence","authors":"N. Babayan, M. Ginovyan","doi":"10.1556/012.2019.56.4.1448","DOIUrl":"https://doi.org/10.1556/012.2019.56.4.1448","url":null,"abstract":"Abstract In this paper, we obtain necessary as well as sufficient conditions for exponential rate of decrease of the variance of the best linear unbiased estimator (BLUE) for the unknown mean of a ...","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"15 1","pages":"482-491"},"PeriodicalIF":0.7,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77047272","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}
{"title":"A variant of the Fejér–Jackson inequality","authors":"H. Alzer, M. Kwong","doi":"10.1556/012.2019.56.4.1438","DOIUrl":"https://doi.org/10.1556/012.2019.56.4.1438","url":null,"abstract":"\u0000 We prove: For all natural numbers n and real numbers x ∈ [0, π] we have .\u0000 The sign of equality holds if and only if n = 2 and x = 4π/5.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"154 1","pages":"500-509"},"PeriodicalIF":0.7,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86646670","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}
Let [ · ] be the fioor function. In this paper, we show that when 1 < c < 37/36, then every sufficiently large positive integer N can be represented in the formwhere p1, p2, p3 are primes close to squares.
设[·]为底面函数。本文证明了当1 < c < 37/36时，每一个足够大的正整数N都可以表示为p1, p2, p3是接近平方的素数。
{"title":"On an Equation with Prime Numbers Close to Squares","authors":"S. Dimitrov","doi":"10.1556/012.2022.01522","DOIUrl":"https://doi.org/10.1556/012.2022.01522","url":null,"abstract":"Let [ · ] be the fioor function. In this paper, we show that when 1 < c < 37/36, then every sufficiently large positive integer N can be represented in the formwhere p1, p2, p3 are primes close to squares.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"97 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2019-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86617695","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}
Pub Date : 2019-09-29DOI: 10.1556/012.2021.58.3.1499
Yuriko Pitones, E. Reyes, R. Villarreal
Let D be a weighted oriented graph, whose underlying graph is G, and let I (D) be its edge ideal. If G has no 3-, 5-, or 7-cycles, or G is Kőnig, we characterize when I (D) is unmixed. If G has no 3- or 5-cycles, or G is Kőnig, we characterize when I (D) is Cohen–Macaulay. We prove that I (D) is unmixed if and only if I (D) is Cohen–Macaulay when G has girth greater than 7 or G is Kőnig and has no 4-cycles.
{"title":"Unmixed and Cohen–Macaulay Weighted Oriented Kőnig Graphs","authors":"Yuriko Pitones, E. Reyes, R. Villarreal","doi":"10.1556/012.2021.58.3.1499","DOIUrl":"https://doi.org/10.1556/012.2021.58.3.1499","url":null,"abstract":"Let D be a weighted oriented graph, whose underlying graph is G, and let I (D) be its edge ideal. If G has no 3-, 5-, or 7-cycles, or G is Kőnig, we characterize when I (D) is unmixed. If G has no 3- or 5-cycles, or G is Kőnig, we characterize when I (D) is Cohen–Macaulay. We prove that I (D) is unmixed if and only if I (D) is Cohen–Macaulay when G has girth greater than 7 or G is Kőnig and has no 4-cycles.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"25 5 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2019-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82692837","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：