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Lithuanian Mathematical Journal最新文献

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Second Hankel determinant of logarithmic coefficients of inverse functions in certain classes of univalent functions 某些等价函数类中反函数对数系数的第二汉克尔行列式
IF 0.4 4区 数学
Lithuanian Mathematical Journal Pub Date : 2024-02-16 DOI: 10.1007/s10986-024-09623-5
Sanju Mandal, Molla Basir Ahamed
{"title":"Second Hankel determinant of logarithmic coefficients of inverse functions in certain classes of univalent functions","authors":"Sanju Mandal, Molla Basir Ahamed","doi":"10.1007/s10986-024-09623-5","DOIUrl":"https://doi.org/10.1007/s10986-024-09623-5","url":null,"abstract":"<p>The Hankel determinant <span>({H}_{mathrm{2,1}}left({F}_{f-1}/2right))</span> of logarithmic coefficients is defined as</p><p><span>({H}_{mathrm{2,1}}left({F}_{f-1}/2right):=left|begin{array}{cc}{Gamma }_{1}&amp; {Gamma }_{2} {Gamma }_{2}&amp; {Gamma }_{3}end{array}right|={Gamma }_{1}{Gamma }_{3}-{Gamma }_{2}^{2},)</span></p><p>where <span>({Gamma }_{1},{Gamma }_{2},)</span> and <span>({Gamma }_{3})</span> are the first, second, and third logarithmic coefficients of inverse functions belonging to the class <span>(mathcal{S})</span> of normalized univalent functions. In this paper, we establish sharp inequalities <span>(left|{H}_{mathrm{2,1}}left({F}_{f-1}/2right)right|le 19/288,)</span> <span>(left|{H}_{mathrm{2,1}}left({F}_{f-1}/2right)right|le 1/144,)</span> and <span>(left|{H}_{mathrm{2,1}}left({F}_{f-1}/2right)right|le 1/36)</span> for the logarithmic coefficients of inverse functions, considering starlike and convex functions, as well as functions with bounded turning of order 1/2, respectively.</p>","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":"15 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139758522","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}
引用次数: 0
Spectral collocation methods for fractional multipantograph delay differential equations* 分数多图延迟微分方程的谱配位法*
IF 0.4 4区 数学
Lithuanian Mathematical Journal Pub Date : 2024-01-15 DOI: 10.1007/s10986-023-09614-y
Xiulian Shi, Keyan Wang, Hui Sun
{"title":"Spectral collocation methods for fractional multipantograph delay differential equations*","authors":"Xiulian Shi, Keyan Wang, Hui Sun","doi":"10.1007/s10986-023-09614-y","DOIUrl":"https://doi.org/10.1007/s10986-023-09614-y","url":null,"abstract":"<p>In this paper, we propose and analyze a spectral collocation method for the numerical solutions of fractional multipantograph delay differential equations. The fractional derivatives are described in the Caputo sense. We present that some suitable variable transformations can convert the equations to a Volterra integral equation defined on the standard interval [<i>−</i>1<i>,</i> 1]. Then the Jacobi–Gauss points are used as collocation nodes, and the Jacobi–Gauss quadrature formula is used to approximate the integral equation. Later, the convergence analysis of the proposed method is investigated in the infinity norm and weighted <i>L</i><sup>2</sup> norm. To perform the numerical simulations, some test examples are investigated, and numerical results are presented. Further, we provide the comparative study of the proposed method with some existing numerical methods.</p>","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":"10 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2024-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139476226","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}
引用次数: 0
Existence results for a class of two-fold saddle point parabolic differential equations 一类两折鞍点抛物微分方程的存在性结果
IF 0.4 4区 数学
Lithuanian Mathematical Journal Pub Date : 2024-01-09 DOI: 10.1007/s10986-023-09616-w
{"title":"Existence results for a class of two-fold saddle point parabolic differential equations","authors":"","doi":"10.1007/s10986-023-09616-w","DOIUrl":"https://doi.org/10.1007/s10986-023-09616-w","url":null,"abstract":"<h3>Abstract</h3> <p>We propose and analyze an abstract framework to study the well-posedness for a family of linear degenerate parabolic augmentedmixed equations.We combine the theory for linear degenerate parabolic problems with results about stationary two-fold saddle point equations to deduce sufficient conditions for the existence and uniqueness of a solution for the problem. Finally, we show some applications of the developed theory through examples that come from <em>fluid dynamic</em> and <em>electromagnetic</em> problems.</p>","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":"471 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2024-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139410136","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}
引用次数: 0
Ground state solution for a weighted fourth-order Schrödinger equation with exponential growth nonlinearity 具有指数增长非线性的加权四阶薛定谔方程的基态解
IF 0.4 4区 数学
Lithuanian Mathematical Journal Pub Date : 2024-01-06 DOI: 10.1007/s10986-023-09617-9
Rima Chetouane, Brahim Dridi, Rached Jaidane
{"title":"Ground state solution for a weighted fourth-order Schrödinger equation with exponential growth nonlinearity","authors":"Rima Chetouane, Brahim Dridi, Rached Jaidane","doi":"10.1007/s10986-023-09617-9","DOIUrl":"https://doi.org/10.1007/s10986-023-09617-9","url":null,"abstract":"<p>In this paper, we establish the existence of a ground state solution for a weighted fourth-order equation of Shrödinger type under boundary Dirichlet condition in the unit ball <i>B</i> of ℝ<sup>4</sup>. The potential <i>V</i> is a continuous positive function bounded away from zero in <i>B</i>. The nonlinearity of the equation is assumed to have exponential growth due to Adams-type inequalities combined with polynomial term. We use the constrained minimization in the Nehari set, the quantitative deformation lemma, and degree theory results.</p>","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":"208 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2024-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139374553","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}
引用次数: 0
Multiseasonal discrete-time risk model revisited 多季节离散时间风险模型再探讨
IF 0.4 4区 数学
Lithuanian Mathematical Journal Pub Date : 2023-12-23 DOI: 10.1007/s10986-023-09613-z
Andrius Grigutis, Jonas Jankauskas, Jonas Šiaulys
{"title":"Multiseasonal discrete-time risk model revisited","authors":"Andrius Grigutis, Jonas Jankauskas, Jonas Šiaulys","doi":"10.1007/s10986-023-09613-z","DOIUrl":"https://doi.org/10.1007/s10986-023-09613-z","url":null,"abstract":"<p>In this work, we set up the distribution function of <span>(mathcal{M}:={mathrm{sup}}_{nge 1}{sum }_{i=1}^{n}left({X}_{i}-1right),)</span> where the random walk <span>({sum }_{i=1}^{n}{X}_{i},nin {mathbb{N}},)</span> is generated by <i>N</i> periodically occurring distributions, and the integer-valued and nonnegative random variables<i>X</i><sub>1</sub><i>,X</i><sub>2</sub><i>, . . .</i> are independent. The considered random walk generates a so-called multiseasonal discrete-time risk model, and a known distribution of random variable <i>M</i> enables us to calculate the ultimate time ruin or survival probability. Verifying obtained theoretical statements, we demonstrate several computational examples for survival probability <b>P</b>(<i>M &lt; u</i>) when <i>N</i> = 2<i>,</i> 3<i>,</i> or 10.</p>","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":"7 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139027915","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}
引用次数: 0
An interview with Donatas Surgailis 采访多纳塔斯-苏尔盖里斯
IF 0.4 4区 数学
Lithuanian Mathematical Journal Pub Date : 2023-12-23 DOI: 10.1007/s10986-023-09615-x
Viktor Skorniakov
{"title":"An interview with Donatas Surgailis","authors":"Viktor Skorniakov","doi":"10.1007/s10986-023-09615-x","DOIUrl":"https://doi.org/10.1007/s10986-023-09615-x","url":null,"abstract":"<p>The International Conference on Number Theory and Probability Theory took place in Palanga from September 11 to 15, 2023, in commemoration of the anniversaries of Lithuanian mathematicians Jonas Kubilius, Donatas Surgailis, Antanas Laurinˇcikas, Eugenijus Manstaviˇcius, K˛estutis Kubilius, and Alfredas Raˇckauskas. This is an interview article with one the jubilarians, D. Surgailis, known for his work in stochastic processes, with interests in long-range dependence, fractionally integrated time series, statistical inference, spatial models, random fields, and their scaling limits. D. Surgailis is the author of the monograph <i>Large Sample Inference for Long Memory Processes</i>, published by Imperial College Press, London, in 2012 (coauthored with Liudas Giraitis and Hira L. Koul), and 150 journal papers. A complete list of his publications is available on http://lma.lt/asmsv/intranetas/index.php?m=profile&amp;user=1577. D. Surgailis has served as the head of the Department of Random Processes at the Institute of Mathematics and Informatics (MII). He is Member Emeritus of the Lithuanian Academy of Sciences (LAS) and Professor Emeritus at Vilnius University (VU). This interview, conducted in October 2023, focuses on personal aspects of life and scientific career of D. Surgailis, that are less widely known but nonetheless captivating.</p>","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":"20 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139027951","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}
引用次数: 0
On normal approximation for φ-mixing and m-dependent random variables φ-混合和m-相关随机变量的正态逼近
IF 0.4 4区 数学
Lithuanian Mathematical Journal Pub Date : 2023-12-05 DOI: 10.1007/s10986-023-09612-0
Jonas Kazys Sunklodas
{"title":"On normal approximation for φ-mixing and m-dependent random variables","authors":"Jonas Kazys Sunklodas","doi":"10.1007/s10986-023-09612-0","DOIUrl":"https://doi.org/10.1007/s10986-023-09612-0","url":null,"abstract":"<p>In this paper, we estimate the difference |<b>E</b><i>h</i>(<i>Z</i><sub><i>n</i></sub>) <i>−</i> <b>E</b><i>h</i>(<i>Y</i>)<i>|</i> between the expectations of real finite Lipschitz function <i>h</i> of the sum <i>Z</i><sub><i>n</i></sub> = (<i>X</i><sub>1</sub> + ⋯ + <i>X</i><sub><i>n</i></sub>)<i>/B</i><sub><i>n</i></sub>, where <span>({B}_{n}^{2})</span> = <b>E</b>(<i>X</i><sub>1</sub> + ⋯ + <i>X</i><sub><i>n</i></sub>)<sup>2</sup> <i>&gt;</i> 0, and a standard normal random variable <i>Y</i>, where real centered random variables <i>X</i><sub>1</sub><i>,X</i><sub>2</sub><i>,</i>… satisfy the <i>φ</i>-mixing condition, defined between the “past” and “ future”, or are <i>m</i>-dependent. In particular cases, under the condition <span>({sum }_{r=1}^{infty }rvarphi (r)&lt;infty )</span> or <span>({sum }_{r=1}^{infty }{rvarphi }^{1/2}(r)&lt;infty )</span>, the obtained upper bounds for <i>φ</i>-mixing random variables are of order <i>O</i>(<i>n</i><sup><i>−</i>1<i>/</i>2</sup>). In addition, we refine the previously known upper bounds of order <i>O</i>((<i>m</i> + 1)<sup>1+<i>δ</i></sup><i>L</i><sub>2+<i>δ,n</i></sub>), where <i>L</i><sub>2+<i>δ,n</i></sub> is the Lyapunov fraction of order 2 + <i>δ</i>, for <i>m</i>-dependent random variables, supplementing them with explicit constants. We also separately present the case of independent r.v.s.</p>","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":" 8","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138492793","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}
引用次数: 0
Solvability of a nonlinear parabolic problem arising in modeling surface reactions 表面反应模型中非线性抛物型问题的可解性
IF 0.4 4区 数学
Lithuanian Mathematical Journal Pub Date : 2023-11-28 DOI: 10.1007/s10986-023-09609-9
Algirdas Ambrazevičius, Vladas Skakauskas
{"title":"Solvability of a nonlinear parabolic problem arising in modeling surface reactions","authors":"Algirdas Ambrazevičius, Vladas Skakauskas","doi":"10.1007/s10986-023-09609-9","DOIUrl":"https://doi.org/10.1007/s10986-023-09609-9","url":null,"abstract":"<p>We investigate the existence, uniqueness, and long-time behavior of classical solutions to a coupled system of seven nonlinear parabolic equations. Four of them are determined in the interior of a region, and the other three are solved on a part of the boundary. In particular, such systems arise in modeling of surface reactions that involve the bulk diffusion of reactants toward and reaction products from the biocatalyst surface and surface diffusion of the intermediate reaction products.</p>","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138516943","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}
引用次数: 0
Sharp bounds on the third Hankel determinant for the Ozaki close-to-convex and convex functions Ozaki近凸函数和凸函数的第三个Hankel行列式的尖锐界
4区 数学
Lithuanian Mathematical Journal Pub Date : 2023-11-08 DOI: 10.1007/s10986-023-09610-2
Lei Shi, Muhammad Arif
{"title":"Sharp bounds on the third Hankel determinant for the Ozaki close-to-convex and convex functions","authors":"Lei Shi, Muhammad Arif","doi":"10.1007/s10986-023-09610-2","DOIUrl":"https://doi.org/10.1007/s10986-023-09610-2","url":null,"abstract":"","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":" 97","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135341060","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}
引用次数: 0
On general sums involving the floor function with applications to k-free numbers 关于涉及底函数的一般和及其在无k数上的应用
4区 数学
Lithuanian Mathematical Journal Pub Date : 2023-11-08 DOI: 10.1007/s10986-023-09611-1
Wei Zhang
{"title":"On general sums involving the floor function with applications to k-free numbers","authors":"Wei Zhang","doi":"10.1007/s10986-023-09611-1","DOIUrl":"https://doi.org/10.1007/s10986-023-09611-1","url":null,"abstract":"","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":"97 9","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135391014","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}
引用次数: 2
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