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Journal of Inequalities and Applications最新文献

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Bounds for novel extended beta and hypergeometric functions and related results 新型扩展贝塔函数和超几何函数的边界及相关结果
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-06-05 DOI: 10.1186/s13660-024-03148-8
Rakesh K. Parmar, Tibor K. Pogány
{"title":"Bounds for novel extended beta and hypergeometric functions and related results","authors":"Rakesh K. Parmar, Tibor K. Pogány","doi":"10.1186/s13660-024-03148-8","DOIUrl":"https://doi.org/10.1186/s13660-024-03148-8","url":null,"abstract":"We introduce a new unified extension of the integral form of Euler’s beta function with a MacDonald function in the integrand and establish functional upper bounds for it. We use this definition to extend as well the Gaussian and Kummer’s confluent hypergeometric functions, for which we provide bounding inequalities. Moreover, we use our extension of the beta function to define a new probability distribution, for which we establish raw moments and moment inequalities and, as by-products, Turán inequalities for the initially defined extended beta function.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"104 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141252710","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 the optimal controllability for a class of Katugampola fractional systems 论一类卡图冈波拉分数系统的最佳可控性
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-06-05 DOI: 10.1186/s13660-024-03153-x
Xianghu Liu, Yanfang Li
{"title":"On the optimal controllability for a class of Katugampola fractional systems","authors":"Xianghu Liu, Yanfang Li","doi":"10.1186/s13660-024-03153-x","DOIUrl":"https://doi.org/10.1186/s13660-024-03153-x","url":null,"abstract":"This study is centered on the optimal controllability of differential equations involving fractional derivatives of Katugampola. We derive both necessary and sufficient conditions for optimal controllability by extending Gronwall’s inequality with singular kernels. Furthermore, we establish conditions ensuring the existence and uniqueness of mild solutions using the Banach fixed-point theorem and the generalized Laplace transform. To underscore the practical relevance of our findings, we provide an illustrative example.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"41 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141252902","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 study on reversed dynamic inequalities of Hilbert-type on time scales nabla calculus 时间尺度上希尔伯特型反向动态不等式的研究 nabla calculus
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-05-29 DOI: 10.1186/s13660-024-03091-8
A. I. Saied
{"title":"A study on reversed dynamic inequalities of Hilbert-type on time scales nabla calculus","authors":"A. I. Saied","doi":"10.1186/s13660-024-03091-8","DOIUrl":"https://doi.org/10.1186/s13660-024-03091-8","url":null,"abstract":"In this paper, we establish some reversed dynamic inequalities of Hilbert type on time scales nabla calculus by applying reversed Hölder’s inequality, chain rule on time scales, and the mean inequality. As particular cases of our results (when $mathbb{T}=mathbb{N}$ and $mathbb{T}=mathbb{R}$ ), we get the reversed form of discrete and continuous inequalities proved by Chang-Jian, Lian-Ying and Cheung (Math. Slovaca 61(1):15–28, 2011).","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"55 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141171043","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
Sequence spaces derived by (q_{lambda}) operators in (ell _{p}) spaces and their geometric properties 由（q_{lambda}）算子在（ell _{p}）空间中派生的序列空间及其几何特性
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-05-29 DOI: 10.1186/s13660-024-03149-7
Naim L. Braha, Taja Yaying, Mohammad Mursaleen
{"title":"Sequence spaces derived by (q_{lambda}) operators in (ell _{p}) spaces and their geometric properties","authors":"Naim L. Braha, Taja Yaying, Mohammad Mursaleen","doi":"10.1186/s13660-024-03149-7","DOIUrl":"https://doi.org/10.1186/s13660-024-03149-7","url":null,"abstract":"In this paper, we establish a novel category of sequence spaces $ell _{p}^{q_{lambda}}$ and $ell _{infty}^{q_{lambda}}$ by utlizing q-analogue $Lambda^{q}$ of Λ-matrix. Our investigation outlines several topological characteristics and inclusion results of these newly introduced sequence spaces, specifically identifying them as BK-spaces. Subsequently, we demonstrate that these novel sequence spaces are of nonabsolute type and establish their isometric isomorphism with $ell _{p}$ and $ell _{infty}$ . Moreover, we obtain the α-, β-, and γ-duals of these sequence spaces. We further characterize the class $(ell _{p}^{q_{lambda}},X)$ of matrices, where X is any of the spaces $ell _{infty }$ , c, or $c_{0}$ . Lastly, our study delves into the exploration of specific geometric properties exhibited by the space $ell _{p}^{q_{lambda}}$ .","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"39 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141170585","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 three-term conjugate gradient descent method with some applications 三期共轭梯度下降法及其一些应用
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-05-28 DOI: 10.1186/s13660-024-03142-0
Ahmad Alhawarat, Zabidin Salleh, Hanan Alolaiyan, Hamid El Hor, Shahrina Ismail
{"title":"A three-term conjugate gradient descent method with some applications","authors":"Ahmad Alhawarat, Zabidin Salleh, Hanan Alolaiyan, Hamid El Hor, Shahrina Ismail","doi":"10.1186/s13660-024-03142-0","DOIUrl":"https://doi.org/10.1186/s13660-024-03142-0","url":null,"abstract":"The stationary point of optimization problems can be obtained via conjugate gradient (CG) methods without the second derivative. Many researchers have used this method to solve applications in various fields, such as neural networks and image restoration. In this study, we construct a three-term CG method that fulfills convergence analysis and a descent property. Next, in the second term, we employ a Hestenses-Stiefel CG formula with some restrictions to be positive. The third term includes a negative gradient used as a search direction multiplied by an accelerating expression. We also provide some numerical results collected using a strong Wolfe line search with different sigma values over 166 optimization functions from the CUTEr library. The result shows the proposed approach is far more efficient than alternative prevalent CG methods regarding central processing unit (CPU) time, number of iterations, number of function evaluations, and gradient evaluations. Moreover, we present some applications for the proposed three-term search direction in image restoration, and we compare the results with well-known CG methods with respect to the number of iterations, CPU time, as well as root-mean-square error (RMSE). Finally, we present three applications in regression analysis, image restoration, and electrical engineering.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"66 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141170588","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
Explicit constants in the nonuniform local limit theorem for Poisson binomial random variables 泊松二项随机变量非均匀局部极限定理中的显式常数
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-05-10 DOI: 10.1186/s13660-024-03143-z
Graeme Auld, Kritsana Neammanee
{"title":"Explicit constants in the nonuniform local limit theorem for Poisson binomial random variables","authors":"Graeme Auld, Kritsana Neammanee","doi":"10.1186/s13660-024-03143-z","DOIUrl":"https://doi.org/10.1186/s13660-024-03143-z","url":null,"abstract":"In a recent paper the authors proved a nonuniform local limit theorem concerning normal approximation of the point probabilities $P(S=k)$ when $S=sum_{i=1}^{n}X_{i}$ and $X_{1},X_{2},ldots ,X_{n}$ are independent Bernoulli random variables that may have different success probabilities. However, their main result contained an undetermined constant, somewhat limiting its applicability. In this paper we give a nonuniform bound in the same setting but with explicit constants. Our proof uses Stein’s method and, in particular, the K-function and concentration inequality approaches. We also prove a new uniform local limit theorem for Poisson binomial random variables that is used to help simplify the proof in the nonuniform case.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"190 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140936825","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
Dynamics analysis and optimal control of delayed SEIR model in COVID-19 epidemic COVID-19 疫情中延迟 SEIR 模型的动力学分析和优化控制
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-05-09 DOI: 10.1186/s13660-024-03140-2
Chongyang Liu, Jie Gao, Jeevan Kanesan
{"title":"Dynamics analysis and optimal control of delayed SEIR model in COVID-19 epidemic","authors":"Chongyang Liu, Jie Gao, Jeevan Kanesan","doi":"10.1186/s13660-024-03140-2","DOIUrl":"https://doi.org/10.1186/s13660-024-03140-2","url":null,"abstract":"The coronavirus disease 2019 (COVID-19) remains serious around the world and causes huge deaths and economic losses. Understanding the transmission dynamics of diseases and providing effective control strategies play important roles in the prevention of epidemic diseases. In this paper, to investigate the effect of delays on the transmission of COVID-19, we propose a delayed SEIR model to describe COVID-19 virus transmission, where two delays indicating the incubation and recovery periods are introduced. For this system, we prove its solutions are nonnegative and ultimately bounded with the nonnegative initial conditions. Furthermore, we calculate the disease-free and endemic equilibrium points and analyze the asymptotical stability and the existence of Hopf bifurcations at these equilibrium points. Then, by taking the weighted sum of the opposite number of recovered individuals at the terminal time, the number of exposed and infected individuals during the time horizon, and the system cost of control measures as the cost function, we present a delay optimal control problem, where two controls represent the social contact and the pharmaceutical intervention. Necessary optimality conditions of this optimal control problem are exploited to characterize the optimal control strategies. Finally, numerical simulations are performed to verify the theoretical analysis of the stability and Hopf bifurcations at the equilibrium points and to illustrate the effectiveness of the obtained optimal strategies in controlling the COVID-19 epidemic.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"196 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140936886","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
Sequential inertial linear ADMM algorithm for nonconvex and nonsmooth multiblock problems with nonseparable structure 针对具有不可分割结构的非凸和非光滑多块问题的序列惯性线性 ADMM 算法
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-05-08 DOI: 10.1186/s13660-024-03141-1
Zhonghui Xue, Kaiyuan Yang, Qianfeng Ma, Yazheng Dang
{"title":"Sequential inertial linear ADMM algorithm for nonconvex and nonsmooth multiblock problems with nonseparable structure","authors":"Zhonghui Xue, Kaiyuan Yang, Qianfeng Ma, Yazheng Dang","doi":"10.1186/s13660-024-03141-1","DOIUrl":"https://doi.org/10.1186/s13660-024-03141-1","url":null,"abstract":"The alternating direction method of multipliers (ADMM) has been widely used to solve linear constrained problems in signal processing, matrix decomposition, machine learning, and many other fields. This paper introduces two linearized ADMM algorithms, namely sequential partial linear inertial ADMM (SPLI-ADMM) and sequential complete linear inertial ADMM (SCLI-ADMM), which integrate linearized ADMM approach with inertial technique in the full nonconvex framework with nonseparable structure. Iterative schemes are formulated using either partial or full linearization while also incorporating the sequential gradient of the composite term in each subproblem’s update. This adaptation ensures that each iteration utilizes the latest information to improve the efficiency of the algorithms. Under some mild conditions, we prove that the sequences generated by two proposed algorithms converge to the critical points of the problem with the help of KŁ property. Finally, some numerical results are reported to show the effectiveness of the proposed algorithms.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"67 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140936890","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
Global existence and attractivity for Riemann-Liouville fractional semilinear evolution equations involving weakly singular integral inequalities 涉及弱奇异积分不等式的黎曼-刘维尔分数半线性演化方程的全局存在性和吸引力
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-05-08 DOI: 10.1186/s13660-024-03137-x
Caijing Jiang, Keji Xu
{"title":"Global existence and attractivity for Riemann-Liouville fractional semilinear evolution equations involving weakly singular integral inequalities","authors":"Caijing Jiang, Keji Xu","doi":"10.1186/s13660-024-03137-x","DOIUrl":"https://doi.org/10.1186/s13660-024-03137-x","url":null,"abstract":"In this paper, we obtain several results on the global existence, uniqueness and attractivity for fractional evolution equations involving the Riemann-Liouville type by exploiting some results on weakly singular integral inequalities in Banach spaces. Some boundedness conditions of the nonlinear term are considered to obtain the main results that generalize and improve some well-known works.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"34 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140936823","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
Chen inequalities on warped product Legendrian submanifolds in Kenmotsu space forms and applications Kenmotsu 空间形式中的翘积 Legendrian 子满上的 Chen 不等式及其应用
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-05-06 DOI: 10.1186/s13660-024-03133-1
Fatemah Abdullah Alghamdi, Lamia Saeed Alqahtani, Akram Ali
{"title":"Chen inequalities on warped product Legendrian submanifolds in Kenmotsu space forms and applications","authors":"Fatemah Abdullah Alghamdi, Lamia Saeed Alqahtani, Akram Ali","doi":"10.1186/s13660-024-03133-1","DOIUrl":"https://doi.org/10.1186/s13660-024-03133-1","url":null,"abstract":"In the current work, we study the geometry and topology of warped product Legendrian submanifolds in Kenmotsu space forms $mathbb{F}^{2n+1}(epsilon )$ and derive the first Chen inequality, including extrinsic invariants such as the mean curvature and the length of the warping functions. Additionally, sectional curvature and the δ-invariant are intrinsic invariants related to this inequality. An integral bound is also given in terms of the gradient Ricci curvature for the Bochner operator formula of compact warped product submanifolds. Our primary technique is applying geometry to number structures and solving problems such as problems with Dirichlet eigenvalues.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"29 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140885553","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
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