Lithuanian Mathematical Journal最新文献_第4页

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":"In this paper, we estimate the difference |Eh(Zn) − Eh(Y)| between the expectations of real finite Lipschitz function h of the sum Zn = (X1 + ⋯ + Xn)/Bn, where ({B}_{n}^{2}) = E(X1 + ⋯ + Xn)2 > 0, and a standard normal random variable Y, where real centered random variables X1,X2,… satisfy the φ-mixing condition, defined between the “past” and “ future”, or are m-dependent. In particular cases, under the condition ({sum }_{r=1}^{infty }rvarphi (r)<infty ) or ({sum }_{r=1}^{infty }{rvarphi }^{1/2}(r)<infty ), the obtained upper bounds for φ-mixing random variables are of order O(n−1/2). In addition, we refine the previously known upper bounds of order O((m + 1)1+δL2+δ,n), where L2+δ,n is the Lyapunov fraction of order 2 + δ, for m-dependent random variables, supplementing them with explicit constants. We also separately present the case of independent r.v.s.","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":null,"pages":null},"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

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

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

引用次数: 2

Some definite integrals arising from selfdecomposable characteristic functions 由自可分解特征函数引起的若干定积分

4区数学

Lithuanian Mathematical Journal Pub Date : 2023-07-01 DOI: 10.1007/s10986-023-09607-x

Zbigniew J. Jurek

引用次数: 0

Evaluation of functional relation formula for the Clausen and Glaisher functions and multiple L-values Clausen和Glaisher函数和多重l值的函数关系公式的评价

4区数学

Lithuanian Mathematical Journal Pub Date : 2023-07-01 DOI: 10.1007/s10986-023-09608-w

Yayoi Nakamura, Yoshitaka Sasaki

引用次数: 0

Finite volume ADI scheme for hybrid dimension heat conduction problems set in a cross-shaped domain 交叉区域混合尺寸热传导问题的有限体积ADI格式

IF 0.4 4区数学

Lithuanian Mathematical Journal Pub Date : 2022-03-31 DOI: 10.1007/s10986-022-09561-0

Vytenis Šumskas, Raimondas Čiegis

引用次数: 2

On Some Approximations for Sums of Independent Random Variables 关于独立随机变量和的一些近似

IF 0.4 4区数学

Lithuanian Mathematical Journal Pub Date : 2022-03-01 DOI: 10.1007/s10986-022-09560-1

Jonas Kazys Sunklodas

引用次数: 0

On the Distribution of the Digits in Lüroth Expansions 论<s:1>罗斯展开中位数的分布

IF 0.4 4区数学

Lithuanian Mathematical Journal Pub Date : 2022-02-03 DOI: 10.1007/s10986-022-09553-0

Qing-Long Zhou

引用次数: 0

Euler sums of multiple hyperharmonic numbers 多个超调和数的欧拉和

IF 0.4 4区数学

Lithuanian Mathematical Journal Pub Date : 2022-02-02 DOI: 10.1007/s10986-022-09552-1

Ce Xu, Xixi Zhang, Ying Li

{"title":"Euler sums of multiple hyperharmonic numbers","authors":"Ce Xu, Xixi Zhang, Ying Li","doi":"10.1007/s10986-022-09552-1","DOIUrl":"https://doi.org/10.1007/s10986-022-09552-1","url":null,"abstract":"For k ≔ (k1, …, kr) ∈ ℕr and n, m ∈ ℕ, we extend the definition of classical hyperharmonic numbers to define the multiple hyperharmonic numbers ( {zeta}_n^{(m)}(k) ) and the Euler sums of multiple hyperharmonic numbers ζ(m)(q; k)(m + 2 − k1 ≤ q ∈ ℕ). When k = (k) ∈ ℕ, these sums were first studied by Mezö and Dil around 2010, Dil and Boyadzhiev (2015), and more recently, by Dil, Mezö, and Cenkci, Can, Kargin, Dil, and Soylu, and Li. We show that the multiple hyperharmonic numbers ( {zeta}_n^{(m)}(k) ) can be expressed in terms combinations of products of polynomial in n of degree at most m − 1 and classical multiple harmonic sums with depth ≤ r, and prove that the Euler sums of multiple hyperharmonic numbers ζ(m) (q; k) can be evaluated by classical multiple zeta values with weight ≤ q + |k| and depth ≤ r + 1.","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138495164","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