发布求助
文献互助 智能选刊 最新文献

Journal of Inequalities and Applications最新文献

筛选
英文 中文
A note on Lototsky–Bernstein bases 关于洛托茨基-伯恩斯坦基的说明
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-02-06 DOI: 10.1186/s13660-024-03076-7
Xiao-Wei Xu, Xin Yu, Jia-Lin Cui, Qing-Bo Cai, Wen-Tao Cheng
{"title":"A note on Lototsky–Bernstein bases","authors":"Xiao-Wei Xu, Xin Yu, Jia-Lin Cui, Qing-Bo Cai, Wen-Tao Cheng","doi":"10.1186/s13660-024-03076-7","DOIUrl":"https://doi.org/10.1186/s13660-024-03076-7","url":null,"abstract":"In this note, we study some approximation properties on a class of special Lototsky–Bernstein bases. We focus on approximation of $|x|$ on $[-1,1]$ by an approximation process generated from fixed points on Lototsky–Bernstein bases. Our first result shows that the approximation procedure $p_{n}(x)$ to $|x|$ preserves good shapes on $[-1,1]$ . Moreover, some convergence results and inequalities are derived. Our second main result states that the rate convergence of the approximation is $O(n^{-2})$ .","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"39 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139772305","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Multiple positive solutions for Schrödinger-Poisson system with singularity on the Heisenberg group 海森堡群上有奇点的薛定谔-泊松系统的多重正解
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-02-05 DOI: 10.1186/s13660-024-03096-3
Guaiqi Tian, Yucheng An, Hongmin Suo
{"title":"Multiple positive solutions for Schrödinger-Poisson system with singularity on the Heisenberg group","authors":"Guaiqi Tian, Yucheng An, Hongmin Suo","doi":"10.1186/s13660-024-03096-3","DOIUrl":"https://doi.org/10.1186/s13660-024-03096-3","url":null,"abstract":"In this work, we study the following Schrödinger-Poisson system $$ textstylebegin{cases} -Delta _{H}u+mu phi u=lambda u^{-gamma}, &text{in } Omega , -Delta _{H}phi =u^{2}, &text{in } Omega , u>0, &text{in } Omega , u=phi =0, &text{on } partial Omega , end{cases} $$ where $Delta _{H}$ is the Kohn-Laplacian on the first Heisenberg group $mathbb{H}^{1}$ , and $Omega subset mathbb{H}^{1}$ is a smooth bounded domain, $mu =pm 1$ , $0<gamma <1$ , and $lambda >0$ are some real parameters. For the above system, we prove the existence and uniqueness of positive solution for $mu =1$ and each $lambda >0$ . Multiple solutions of the system are also considered for $mu =-1$ and $lambda >0$ small enough using the critical point theory for nonsmooth functional.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"606 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139690341","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Higher order ((n,m))-Drazin normal operators 高阶（(n,m)）-德拉津正则算子
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-02-01 DOI: 10.1186/s13660-024-03095-4
Hadi Obaid AlShammari
{"title":"Higher order ((n,m))-Drazin normal operators","authors":"Hadi Obaid AlShammari","doi":"10.1186/s13660-024-03095-4","DOIUrl":"https://doi.org/10.1186/s13660-024-03095-4","url":null,"abstract":"The purpose of this paper is to introduce and study the structure of p-tuple of $(n,m)$ - $mathcal{D}$ -normal operators. This is a generalization of the class of p-tuple of n-normal operators. We consider a generalization of these single variable n- $mathcal{D}$ -normal and $(n,m)$ - $mathcal{D}$ -normal operators and explore some of their basic properties.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"62 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139666551","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Inverse logarithmic coefficient bounds for starlike functions subordinated to the exponential functions 从属于指数函数的星形函数的反对数系数边界
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-01-31 DOI: 10.1186/s13660-024-03094-5
Lei Shi, Muhammad Abbas, Mohsan Raza, Muhammad Arif, Poom Kumam
{"title":"Inverse logarithmic coefficient bounds for starlike functions subordinated to the exponential functions","authors":"Lei Shi, Muhammad Abbas, Mohsan Raza, Muhammad Arif, Poom Kumam","doi":"10.1186/s13660-024-03094-5","DOIUrl":"https://doi.org/10.1186/s13660-024-03094-5","url":null,"abstract":"In recent years, many subclasses of univalent functions, directly or not directly related to the exponential functions, have been introduced and studied. In this paper, we consider the class of $mathcal{S}^{ast}_{e}$ for which $zf^{prime}(z)/f(z)$ is subordinate to $e^{z}$ in the open unit disk. The classic concept of Hankel determinant is generalized by replacing the inverse logarithmic coefficient of functions belonging to certain subclasses of univalent functions. In particular, we obtain the best possible bounds for the second Hankel determinant of logarithmic coefficients of inverse starlike functions subordinated to exponential functions. This work may inspire to pay more attention to the coefficient properties with respect to the inverse functions of various classes of univalent functions.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"32 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139646211","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Faber polynomial coefficient inequalities for bi-Bazilevič functions associated with the Fibonacci-number series and the square-root functions 与斐波那契数列和平方根函数相关的双巴齐莱维奇函数的法布尔多项式系数不等式
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-01-31 DOI: 10.1186/s13660-024-03090-9
H. M. Srivastava, Shahid Khan, Sarfraz Nawaz Malik, Fairouz Tchier, Afis Saliu, Qin Xin
{"title":"Faber polynomial coefficient inequalities for bi-Bazilevič functions associated with the Fibonacci-number series and the square-root functions","authors":"H. M. Srivastava, Shahid Khan, Sarfraz Nawaz Malik, Fairouz Tchier, Afis Saliu, Qin Xin","doi":"10.1186/s13660-024-03090-9","DOIUrl":"https://doi.org/10.1186/s13660-024-03090-9","url":null,"abstract":"Two new subclasses of the class of bi-Bazilevič functions, which are related to the Fibonacci-number series and the square-root functions, are introduced and studied in this article. Under a special choice of the parameter involved, these two classes of Bazilevič functions reduce to two new subclasses of star-like biunivalent functions related with the Fibonacci-number series and the square-root functions. Using the Faber polynomial expansion (FPE) technique, we find the general coefficient bounds for the functions belonging to each of these classes. We also find bounds for the initial coefficients for bi-Bazilevič functions and demonstrate how unexpectedly these initial coefficients behave in relation to the square-root functions and the Fibonacci-number series.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"173 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139646204","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Hankel determinant for a general subclass of m-fold symmetric biunivalent functions defined by Ruscheweyh operators 由 Ruscheweyh 算子定义的 m 折对称双等价函数一般子类的汉克尔行列式
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-01-30 DOI: 10.1186/s13660-024-03088-3
Pishtiwan Othman Sabir, Ravi P. Agarwal, Shabaz Jalil Mohammedfaeq, Pshtiwan Othman Mohammed, Nejmeddine Chorfi, Thabet Abdeljawad
{"title":"Hankel determinant for a general subclass of m-fold symmetric biunivalent functions defined by Ruscheweyh operators","authors":"Pishtiwan Othman Sabir, Ravi P. Agarwal, Shabaz Jalil Mohammedfaeq, Pshtiwan Othman Mohammed, Nejmeddine Chorfi, Thabet Abdeljawad","doi":"10.1186/s13660-024-03088-3","DOIUrl":"https://doi.org/10.1186/s13660-024-03088-3","url":null,"abstract":"Making use of the Hankel determinant and the Ruscheweyh derivative, in this work, we consider a general subclass of m-fold symmetric normalized biunivalent functions defined in the open unit disk. Moreover, we investigate the bounds for the second Hankel determinant of this class and some consequences of the results are presented. In addition, to demonstrate the accuracy on some functions and conditions, most general programs are written in Python V.3.8.8 (2021).","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"151 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139590184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Some multidimensional fixed point theorems for nonlinear contractions in C-distance spaces with applications C 距离空间中非线性收缩的一些多维定点定理及其应用
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-01-30 DOI: 10.1186/s13660-024-03079-4
Maliha Rashid, Naeem Saleem, Rabia Bibi, Reny George
{"title":"Some multidimensional fixed point theorems for nonlinear contractions in C-distance spaces with applications","authors":"Maliha Rashid, Naeem Saleem, Rabia Bibi, Reny George","doi":"10.1186/s13660-024-03079-4","DOIUrl":"https://doi.org/10.1186/s13660-024-03079-4","url":null,"abstract":"In this manuscript, we use the concept of multidimensional fixed point in a generalized space, namely, C-distance space with some nonlinear contraction conditions, such as Jaggi- and Dass-Gupta-type contractions. We provide results with a Jaggi-type hybrid contraction for the mentioned space. Moreover, we use control functions to get the desired results. After each theorem, we compare our results with previous ones to show that they are generalized. We provide examples to support our results. An application is also performed to solve the system of integral equations.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"6 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139590613","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
A regularization method for solving the G-variational inequality problem and fixed-point problems in Hilbert spaces endowed with graphs 解决希尔伯特空间中 G 变不等式问题和赋有图的定点问题的正则化方法
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-01-30 DOI: 10.1186/s13660-024-03089-2
Wongvisarut Khuangsatung, Akarate Singta, Atid Kangtunyakarn
{"title":"A regularization method for solving the G-variational inequality problem and fixed-point problems in Hilbert spaces endowed with graphs","authors":"Wongvisarut Khuangsatung, Akarate Singta, Atid Kangtunyakarn","doi":"10.1186/s13660-024-03089-2","DOIUrl":"https://doi.org/10.1186/s13660-024-03089-2","url":null,"abstract":"This article considers and investigates a variational inequality problem and fixed-point problems in real Hilbert spaces endowed with graphs. A regularization method is proposed for solving a G-variational inequality problem and a common fixed-point problem of a finite family of G-nonexpansive mappings in the framework of Hilbert spaces endowed with graphs, which extends the work of Tiammee et al. (Fixed Point Theory Appl. 187, 2015) and Kangtunyakarn, A. (Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 112:437–448, 2018). Under certain conditions, a strong convergence theorem of the proposed method is proved. Finally, we provide numerical examples to support our main theorem. The numerical examples show that the speed of the proposed method is better than some recent existing methods in the literature.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"90 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139646215","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 a Duffing-type oscillator differential equation on the transition to chaos with fractional q-derivatives 关于带分数 q 衍生物的向混沌过渡的达芬型振荡微分方程
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-01-25 DOI: 10.1186/s13660-024-03093-6
Mohamed Houas, Mohammad Esmael Samei, Shyam Sundar Santra, Jehad Alzabut
{"title":"On a Duffing-type oscillator differential equation on the transition to chaos with fractional q-derivatives","authors":"Mohamed Houas, Mohammad Esmael Samei, Shyam Sundar Santra, Jehad Alzabut","doi":"10.1186/s13660-024-03093-6","DOIUrl":"https://doi.org/10.1186/s13660-024-03093-6","url":null,"abstract":"In this paper, by applying fractional quantum calculus, we study a nonlinear Duffing-type equation with three sequential fractional q-derivatives. We prove the existence and uniqueness results by using standard fixed-point theorems (Banach and Schaefer fixed-point theorems). We also discuss the Ulam–Hyers and the Ulam–Hyers–Rassias stabilities of the mentioned Duffing problem. Finally, we present an illustrative example and nice application; a Duffing-type oscillator equation with regard to our outcomes.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"183 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139586109","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Weighted estimates for fractional bilinear Hardy operators on variable exponent Morrey–Herz space 变指数莫雷-赫兹空间上分数双线性哈代算子的加权估计值
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-01-25 DOI: 10.1186/s13660-024-03092-7
Muhammad Asim, Irshad Ayoob, Amjad Hussain, Nabil Mlaiki
{"title":"Weighted estimates for fractional bilinear Hardy operators on variable exponent Morrey–Herz space","authors":"Muhammad Asim, Irshad Ayoob, Amjad Hussain, Nabil Mlaiki","doi":"10.1186/s13660-024-03092-7","DOIUrl":"https://doi.org/10.1186/s13660-024-03092-7","url":null,"abstract":"In this article, we analyze the boundedness for the fractional bilinear Hardy operators on variable exponent weighted Morrey–Herz spaces ${Mdot{K}^{alpha (cdot ),lambda}_{q,p(cdot)}(w)}$ . Similar estimates are obtained for their commutators when the symbol functions belong to BMO space with variable exponents.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"61 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139553285","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
首页 上一页
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