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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas最新文献

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Real hypersurfaces in nonflat complex space forms whose h-operator is parallel with respect to the generalized Tanaka-Webster connection 非平面复数空间形式中的实超曲面，其 h 运算符与广义田中-韦伯斯特连接平行
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-07-19 DOI: 10.1007/s13398-024-01643-7
Yaning Wang, Pei Wang
{"title":"Real hypersurfaces in nonflat complex space forms whose h-operator is parallel with respect to the generalized Tanaka-Webster connection","authors":"Yaning Wang, Pei Wang","doi":"10.1007/s13398-024-01643-7","DOIUrl":"https://doi.org/10.1007/s13398-024-01643-7","url":null,"abstract":"<p>In this paper, we prove that the <i>h</i>-operator of a real hypersurface in a nonflat complex space form is parallel with respect to the generalized Tanaka-Webster connection if and only if the hypersurface is of type (<i>A</i>) or (<i>B</i>).</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141744084","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
Novel formulas of moments of Negative Binomial distribution connected with Apostol-Bernoulli numbers of higher order and Stirling numbers 与高阶阿波斯托尔-伯努利数和斯特林数有关的负二项分布矩的新公式
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-07-10 DOI: 10.1007/s13398-024-01640-w
Buket Simsek
{"title":"Novel formulas of moments of Negative Binomial distribution connected with Apostol-Bernoulli numbers of higher order and Stirling numbers","authors":"Buket Simsek","doi":"10.1007/s13398-024-01640-w","DOIUrl":"https://doi.org/10.1007/s13398-024-01640-w","url":null,"abstract":"<p>The main subject of this article is to present and reveal some new relationships between the moment generating functions of the Negative Binomial distribution and the generating functions for the Apostol-Bernoulli numbers and polynomials. By the help of these relations and Binomial series, we derive many computation formulas. These formulas give relations among moments, factorial moments, and the Apostol-Bernoulli numbers and polynomials, the Stirling numbers, and also other special functions related to zeta functions. By using these formulas, we give some numerical values of moments, expected value, and variance. Finally, we give some observations on formulas for the moments involivin binomial series and zeta functions.</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141584567","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
Sliding method and one-dimensional symmetry for p-Laplace equations p 拉普拉斯方程的滑动法和一维对称性
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-07-10 DOI: 10.1007/s13398-024-01642-8
Phuong Le
{"title":"Sliding method and one-dimensional symmetry for p-Laplace equations","authors":"Phuong Le","doi":"10.1007/s13398-024-01642-8","DOIUrl":"https://doi.org/10.1007/s13398-024-01642-8","url":null,"abstract":"<p>Let <i>f</i> be a sign-changing locally Lipschitz continuous function which satisfies some mild assumptions. We show that every nonnegative solution to the equation <span>(-Delta _p u = f(u))</span> in <span>({mathbb {R}}^N_+)</span> with zero boundary condition and a uniform limit must be monotone increasing in <span>(x_N)</span> and depends only on <span>(x_N)</span>. Both cases <span>(f(0)ge 0)</span> and <span>(f(0)&lt;0)</span> will be treated. We exploit a variant of the sliding method for the <i>p</i>-Laplacian to prove our results.</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"2018 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141584566","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
The Banach Fixed Point Theorem: selected topics from its hundred-year history 巴拿赫定点定理：百年历史选题
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-07-09 DOI: 10.1007/s13398-024-01636-6
Jacek Jachymski, Izabela Jóźwik, Małgorzata Terepeta
{"title":"The Banach Fixed Point Theorem: selected topics from its hundred-year history","authors":"Jacek Jachymski, Izabela Jóźwik, Małgorzata Terepeta","doi":"10.1007/s13398-024-01636-6","DOIUrl":"https://doi.org/10.1007/s13398-024-01636-6","url":null,"abstract":"<p>On June 24, 1920 Stefan Banach presented his doctoral dissertation titled <i>O operacjach na zbiorach abstrakcyjnych i ich zastosowaniach do równañ całkowych</i> (<i>On operations on abstract sets and their applications to integral equations</i>) to the Philosophy Faculty of Jan Kazimierz University in Lvov. He passed his PhD examinations in mathematics, physics and philosophy, and in January 1921 he became a doctor. A year later, he published the results of his doctorate in Fundamenta Mathematicae. Among them there was the theorem known today as the Banach Fixed Point Theorem or the Banach Contraction Principle. It is one of the most famous theorems in mathematics, one of many under the name of Banach. It concerns certain mappings (called contractions) of a complete metric space into itself and it gives the conditions sufficient for the existence and uniqueness of a fixed point of such mapping. In 2022 we had a centenary of publishing this theorem. In the paper, we want to present its most important modifications and generalizations, several contractive conditions, the converse theorems and some applications. It is not possible to provide complete information about what has been written during the last hundred years about the Banach Fixed Point Theorem and we are just trying to touch on some breakthrough moments in the development of the metric fixed point theory. The main purpose of this article is to organize the knowledge on this subject and to elaborate a broad bibliography which all interested persons can refer to.</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"31 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141578079","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
Parabolicity and Cheeger’s constant on graphs 图形上的抛物线和切格常数
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-07-04 DOI: 10.1007/s13398-024-01639-3
Álvaro Martínez-Pérez, José M. Rodríguez
{"title":"Parabolicity and Cheeger’s constant on graphs","authors":"Álvaro Martínez-Pérez, José M. Rodríguez","doi":"10.1007/s13398-024-01639-3","DOIUrl":"https://doi.org/10.1007/s13398-024-01639-3","url":null,"abstract":"<p>Herein we study <i>p</i>-parabolicity on graphs. We prove that if a uniform graph satisfies the (Cheeger) isoperimetric inequality, then it is non-<i>p</i>-parabolic for every <span>(1&lt;p&lt;infty )</span>. Moreover, we give sufficient conditions for a uniform graph to be non-parabolic and to be <i>p</i>-parabolic for every <span>(1&lt;p&lt;infty )</span>.</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141546610","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
Approximation by parametrized logistic activated convolution type operators 参数化逻辑激活卷积型算子的近似方法
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-06-29 DOI: 10.1007/s13398-024-01635-7
George A. Anastassiou
{"title":"Approximation by parametrized logistic activated convolution type operators","authors":"George A. Anastassiou","doi":"10.1007/s13398-024-01635-7","DOIUrl":"https://doi.org/10.1007/s13398-024-01635-7","url":null,"abstract":"<p>In this work we introduce for the first time the univariate parametrized logistic activated convolution type operators in three kinds. We present their approximation properties, that is the quantitative convergence to the unit operator via the modulus of continuity. We continue with the global smoothness preservation of these operators. We present extensively the related iterated approximation, as well as, the simultaneous approximation and their combinations. Including differentiability and fractional differentiabily into our research, are producing higher speeds of approximation. Simultaneous global smoothness preservation is also treated.</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"133 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141509836","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 proof of Chen-Males̆ević’s conjecture 陈-马尔斯猜想的证明
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-06-28 DOI: 10.1007/s13398-024-01637-5
Fen Wang, Hai-Yan Xiao
{"title":"A proof of Chen-Males̆ević’s conjecture","authors":"Fen Wang, Hai-Yan Xiao","doi":"10.1007/s13398-024-01637-5","DOIUrl":"https://doi.org/10.1007/s13398-024-01637-5","url":null,"abstract":"<p>In this paper, we obtain a new inequality between the inverse hyperbolic tangent and inverse sine functions, which is a conjecture of Chen-Males̆ević [(Chen in Rev Real Acad Cienc. Exactas Fis. Nat. Ser. A-Mat 114:105, 2020) conjecture 2.1]spsCM.</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"21 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141532440","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
Dunford-Pettis type properties in $$L_1$$ of a vector measure 矢量度量 $L_1$$ 中的邓福德-佩提斯类型特性
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-06-28 DOI: 10.1007/s13398-024-01638-4
José Rodríguez
{"title":"Dunford-Pettis type properties in $$L_1$$ of a vector measure","authors":"José Rodríguez","doi":"10.1007/s13398-024-01638-4","DOIUrl":"https://doi.org/10.1007/s13398-024-01638-4","url":null,"abstract":"<p>Let <span>(nu )</span> be a countably additive vector measure defined on a <span>(sigma )</span>-algebra and taking values in a Banach space. In this paper we deal with the following three properties for the Banach lattice <span>(L_1(nu ))</span> of all <span>(nu )</span>-integrable real-valued functions: the Dunford-Pettis property, the positive Schur property and being lattice-isomorphic to an AL-space. We give new results and we also provide alternative proofs of some already known ones.</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"197 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141509833","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 convergence analysis of a family of third order iterative methods in Riemannian manifold 黎曼流形三阶迭代法族的收敛性分析
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-06-26 DOI: 10.1007/s13398-024-01624-w
Babita Mehta, P. K. Parida
{"title":"A convergence analysis of a family of third order iterative methods in Riemannian manifold","authors":"Babita Mehta, P. K. Parida","doi":"10.1007/s13398-024-01624-w","DOIUrl":"https://doi.org/10.1007/s13398-024-01624-w","url":null,"abstract":"<p>In this paper we use a family of third order iterative methods to find singular points on complete Riemannian manifolds. This family of root-finding iterative methods generalizes the important Newton, Chebyshev, Halley, super-Halley and <i>c</i>-type methods, as particular cases. Moreover, the convergence analysis under Kantorovich-type conditions and error estimates are also given. Finally, we generate an example that allows us to find singular points on <span>(textbf{S}^2)</span>, which is impossible to find using classical numerical iterative methods on <span>(mathbb {R}^3)</span>.</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"61 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141509834","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 r-isogenies over $$mathbb {Q}(zeta _r)$$ of elliptic curves with rational j-invariants 关于具有有理 j 变量的椭圆曲线的 $$mathbb {Q}(zeta _r)$$ 上的 r-isogenies
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-06-25 DOI: 10.1007/s13398-024-01626-8
Filip Najman
{"title":"On r-isogenies over $$mathbb {Q}(zeta _r)$$ of elliptic curves with rational j-invariants","authors":"Filip Najman","doi":"10.1007/s13398-024-01626-8","DOIUrl":"https://doi.org/10.1007/s13398-024-01626-8","url":null,"abstract":"<p>The main goal of this paper is to determine for which odd prime numbers <i>r</i> can an elliptic curve <i>E</i> defined over <span>(mathbb {Q})</span> have an <i>r</i>-isogeny over <span>(mathbb {Q}(zeta _r))</span>. We study this question under various assumptions on the 2-torsion of <i>E</i>. Apart from being a natural question itself, the mod <i>r</i> representations attached to such <i>E</i> arise in the Darmon program for the generalized Fermat equation of signature <span>((r,r,p))</span>, playing a key role in the proof of modularity of certain Frey varieties in the recent work of Billerey, Chen, Dieulefait and Freitas.</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141509835","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
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