{"title":"Boundedness from below of composition operators between $L^p_a$ and $L^q_a$, between $L^p_a$ and the Hardy space $H^2$, between $L^p_a$ and Besov space","authors":"R. Yoneda","doi":"10.7153/jmi-2023-17-21","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-21","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166055","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}
. This work presents a new Lyapunov-type inequality for a class of higher-order fractional boundary value problem of the fractional Caputo Fabrizio differential equation subject to fractional integral boundary conditions. The derived result is applied to the fractional Sturm-Liouville problem in establishing a lower bound for the eigenvalues. We also provide the necessary condition for nonexistence of the non-trivial solution of the fractional boundary value problem.
{"title":"A Lyapunov-type inequality for a class of higher-order fractional boundary value problems","authors":"Şuayip Toprakseven","doi":"10.7153/jmi-2023-17-29","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-29","url":null,"abstract":". This work presents a new Lyapunov-type inequality for a class of higher-order fractional boundary value problem of the fractional Caputo Fabrizio differential equation subject to fractional integral boundary conditions. The derived result is applied to the fractional Sturm-Liouville problem in establishing a lower bound for the eigenvalues. We also provide the necessary condition for nonexistence of the non-trivial solution of the fractional boundary value problem.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166216","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}
. Let a , b ∈ R n be column vectors, and ( u , v ) be the inner product of vectors u and v on R n . Let G ⊂ GL ( n , R ) be a compact matrix group. For A ∈ G and a continue function f on G , the integral (cid:2) G f ( A ) dA is the invariant integral of the compact group G . In this paper, we study the inequality
． 设a, b∈rn是列向量，(u, v)是向量u和v在rn上的内积。设G∧GL (n, R)是紧矩阵群。对于A∈G和G上的连续函数f，积分(cid:2) G f (A) dA是紧群G的不变积分。在本文中，我们研究了这个不等式
{"title":"A theorem and an algorithm involving Muirhead's inequality","authors":"Xu Jia, Yongwei Yao, Xiao Ling Qin","doi":"10.7153/jmi-2023-17-38","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-38","url":null,"abstract":". Let a , b ∈ R n be column vectors, and ( u , v ) be the inner product of vectors u and v on R n . Let G ⊂ GL ( n , R ) be a compact matrix group. For A ∈ G and a continue function f on G , the integral (cid:2) G f ( A ) dA is the invariant integral of the compact group G . In this paper, we study the inequality","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166390","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}
{"title":"Mean square of quadratic Hecke character sum","authors":"Zi ei Hong, Zhiy ng Zheng","doi":"10.7153/jmi-2023-17-43","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-43","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166568","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}
. We give some remarks on the recent paper [ J. Math. Inequal. 13 (4) (2019), 1235– 1244]. Some misleading conclusions of their stability results are carefully discussed and corrected. Moreover, we reestablish their results with a more general assumption and a stronger conclusion. Mathematics
{"title":"Remarks on the stability of the 3-variable functional inequalities of Drygas","authors":"J. Senasukh, S. Saejung","doi":"10.7153/jmi-2023-17-47","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-47","url":null,"abstract":". We give some remarks on the recent paper [ J. Math. Inequal. 13 (4) (2019), 1235– 1244]. Some misleading conclusions of their stability results are carefully discussed and corrected. Moreover, we reestablish their results with a more general assumption and a stronger conclusion. Mathematics","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166682","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}
{"title":"On the spectral norms of r-circulant and geometric circulant matrices with the bi-periodic hyper-Horadam sequence","authors":"Nassima Belaggoun, Hacéne Belbachir","doi":"10.7153/jmi-2023-17-55","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-55","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"140 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136373424","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}
{"title":"Asymptotic expansion for generalized Mathieu series","authors":"Xin Lin, Chang in Deng","doi":"10.7153/jmi-2023-17-72","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-72","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136373482","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}
. In this paper we prove some properties for functions that are multivalent in the unit disc | z | < 1 in the complex plane. As a corollary we obtain that if f ( z ) is p -valent, p (cid:2) 10, and (cid:2)(cid:2)(cid:2) arg (cid:3) f ( p ) ( z ) (cid:4)(cid:2)(cid:2)(cid:2) < π in | z | < 1, then f ( z ) is p -valent starlike.
． 本文证明了复平面上单位圆盘| z | < 1上多价函数的一些性质。作为推论，我们得到如果f (z)是p价，p (cid:2) 10，和(cid:2)(cid:2)(cid:2) arg (cid:3) f (p)(z)(cid: 4)(cid:2)(cid:2)(cid:2) (cid:2) < π在| z | < 1，则f (z)是p价星状。
{"title":"On some sufficient conditions for p-valently starlikeness","authors":"M. Nunokawa, J. Sokół","doi":"10.7153/jmi-2023-17-01","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-01","url":null,"abstract":". In this paper we prove some properties for functions that are multivalent in the unit disc | z | < 1 in the complex plane. As a corollary we obtain that if f ( z ) is p -valent, p (cid:2) 10, and (cid:2)(cid:2)(cid:2) arg (cid:3) f ( p ) ( z ) (cid:4)(cid:2)(cid:2)(cid:2) < π in | z | < 1, then f ( z ) is p -valent starlike.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71165871","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}
Ahmad Al-Natoor, M. Amleh, Baha' Abughazaleh, Aliaa Burqan
. In this paper, we prove new unitarily invariant norm inequalities for positive semidefinite matrices. Some of these inequalities represents a generalization of earlier work due to Kittaneh who re fi nes an inequality due to Davidson and Power which is useful in best approximation of C ∗ -algebras.
{"title":"Generalization of some unitarily invariant norm inequalities for matrices","authors":"Ahmad Al-Natoor, M. Amleh, Baha' Abughazaleh, Aliaa Burqan","doi":"10.7153/jmi-2023-17-37","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-37","url":null,"abstract":". In this paper, we prove new unitarily invariant norm inequalities for positive semidefinite matrices. Some of these inequalities represents a generalization of earlier work due to Kittaneh who re fi nes an inequality due to Davidson and Power which is useful in best approximation of C ∗ -algebras.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166382","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}
. In this paper, we introduce a new partial order called CS partial order, which is based on the core partial order and star partial order. We give some characteristics of CS partial order by using polar decomposition. Then we apply the polar-like decomposition to introduce another new partial order called WC (weak CS) partial order, which is an extension of the CS partial order. We illustrate the relationships of the two partial orders with some well-known partial orders, such as minus, L¨owner, GL, CL partial order. At the end of the paper, the application of CS and WC partial orders is brie fl y discussed from the perspective of quantum physics.
{"title":"A new partial order based on core partial order and star partial order","authors":"Yang Zhang, Zongy ng Jiang","doi":"10.7153/jmi-2023-17-35","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-35","url":null,"abstract":". In this paper, we introduce a new partial order called CS partial order, which is based on the core partial order and star partial order. We give some characteristics of CS partial order by using polar decomposition. Then we apply the polar-like decomposition to introduce another new partial order called WC (weak CS) partial order, which is an extension of the CS partial order. We illustrate the relationships of the two partial orders with some well-known partial orders, such as minus, L¨owner, GL, CL partial order. At the end of the paper, the application of CS and WC partial orders is brie fl y discussed from the perspective of quantum physics.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71166497","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}
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