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Journal of Mathematical Inequalities最新文献

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Approximation properties of the Riemann-Liouville fractional integral type Szász-Mirakyan-Kantorovich operators Riemann-Liouville分数积分型Szász-Mirakyan-Kantorovich算子的近似性质
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI: 10.7153/jmi-2022-16-86
Nazim Mahhmudov, M. Kara
{"title":"Approximation properties of the Riemann-Liouville fractional integral type Szász-Mirakyan-Kantorovich operators","authors":"Nazim Mahhmudov, M. Kara","doi":"10.7153/jmi-2022-16-86","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-86","url":null,"abstract":". In the present paper, we introduce the Riemann-Liouville fractional integral type Sz´asz- Mirakyan-Kantorovich operators. We investigate the order of convergence by using Lipschitz-type maximal functions, second order modulus of smoothness and Peetre’s K-functional. Weigh- ted approximation properties of these operators in terms of modulus of continuity have been dis-cussed. Then, Vorononskaja-type type theorem are obtained. Moreover, bivariate the Riemann- Liouville fractional integral type Sz´asz-Mirakyan-Kantorovich operators are constructed. The last section is devoted to graphical representation and numerical results for these operators.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71165672","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: 1
Some further properties of discrete Muckenhoupt and Gehring weights 离散Muckenhoupt权和Gehring权的进一步性质
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI: 10.7153/jmi-2022-16-01
S. Saker, M. Krnic, D. Baleanu
{"title":"Some further properties of discrete Muckenhoupt and Gehring weights","authors":"S. Saker, M. Krnic, D. Baleanu","doi":"10.7153/jmi-2022-16-01","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-01","url":null,"abstract":"Abstract. The main objective of this paper is a further study of discrete Muckenhoupt and Gehring weights. We first restate monotonicity properties of Muckenhoupt and Gehring classes in terms of the corresponding norms. In addition, we establish some norm bounds for Muckenhoupt and Gehring weights. Next, we give a simple characterization of the weight belonging to both Muckenhoupt and Gehring class. Finally, we show that the transition functions, arising from inclusion problems between Muckenhoupt and Gehring classes, are decreasing. As an application, some particular examples of Muckenhoupt and Gehring power weights are also considered.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71163802","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: 1
Some uniqueness problems concerning meromorphic functions 关于亚纯函数的几个唯一性问题
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI: 10.7153/jmi-2022-16-20
Chuang in Chen, Ran an Zhang, Ning Cui
{"title":"Some uniqueness problems concerning meromorphic functions","authors":"Chuang in Chen, Ran an Zhang, Ning Cui","doi":"10.7153/jmi-2022-16-20","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-20","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71164138","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
P-adic weak central Morrey spaces on differential forms 微分形式上的p进弱中心Morrey空间
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI: 10.7153/jmi-2022-16-06
Jian ei Wang, Lin in Wang, Yuming Xing
{"title":"P-adic weak central Morrey spaces on differential forms","authors":"Jian ei Wang, Lin in Wang, Yuming Xing","doi":"10.7153/jmi-2022-16-06","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-06","url":null,"abstract":". In this article, the theory of differential forms on R n was extended to the fi led Q np of p -adic numbers. The imbedding inequalities for differential forms were derived on Q np . Then, we show the de fi nitions of p -aidc weak central Morrey spaces and p -adic λ -central BMO spaces on differential forms. The boundedness of Hardy operator and its adjoint operator were given in the new space. Finally, we give the characterization of the two operators in p -adic λ -central BMO spaces by using imbedding inequalities on differential forms.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71164427","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
New retarded dynamic inequalities on time scales with applications 应用程序在时间尺度上的新迟滞动态不等式
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI: 10.7153/jmi-2022-16-40
Gu tao Wang, A. El-Deeb, H. A. El-Sennary
{"title":"New retarded dynamic inequalities on time scales with applications","authors":"Gu tao Wang, A. El-Deeb, H. A. El-Sennary","doi":"10.7153/jmi-2022-16-40","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-40","url":null,"abstract":". In this article, we prove new retarded dynamic inequalities on time scales that contain some integral and discrete inequalities reported in the literature. These inequalities can be used as handy tools for the study of qualitative properties of solutions of dynamic equations on time scales. Some examples are included to demonstrate the applications of our results.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71164559","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
Generalized elliptic integrals and generalized Grötzsch function with two parameters 广义椭圆积分与广义Grötzsch双参数函数
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI: 10.7153/jmi-2022-16-45
Jiezhu Lin, Qiu ing Zhang, Xiaohui Zhang
{"title":"Generalized elliptic integrals and generalized Grötzsch function with two parameters","authors":"Jiezhu Lin, Qiu ing Zhang, Xiaohui Zhang","doi":"10.7153/jmi-2022-16-45","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-45","url":null,"abstract":". In this paper, we mainly study some monotonicity properties for the generalized ( p , q ) - elliptic integrals and the generalized Gr¨otzsch function. As applications, we obtain some sharp functional inequalities for the generalized Gr¨otzsch function and thus get improvements and extensions of some previous results.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71164699","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: 2
Iterative algorithms for common solutions of split mixed equilibrium problems and fixed point problems of λ-hybrid multivalued mappings 分裂混合平衡问题和λ-混合多值映射不动点问题公共解的迭代算法
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI: 10.7153/jmi-2022-16-71
Wenl ng Sun, Yan iu Liu, Yuanf ng Jin, Choonkill Park
{"title":"Iterative algorithms for common solutions of split mixed equilibrium problems and fixed point problems of λ-hybrid multivalued mappings","authors":"Wenl ng Sun, Yan iu Liu, Yuanf ng Jin, Choonkill Park","doi":"10.7153/jmi-2022-16-71","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-71","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71165091","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
Improved Jensen-type inequalities via quadratic interpolation and applications 通过二次插值及其应用改进了jensen型不等式
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI: 10.7153/jmi-2022-16-56
Duong Quoc Huy, T. Quang, Doan Thi Thuy Van
{"title":"Improved Jensen-type inequalities via quadratic interpolation and applications","authors":"Duong Quoc Huy, T. Quang, Doan Thi Thuy Van","doi":"10.7153/jmi-2022-16-56","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-56","url":null,"abstract":". In the paper (J. Math. Inequal. 11 (2017), no. 2, 301–322.), Choi, Krni´c and Pe ˇ cari´c used the linear interpolation to improve Jensen-type inequalities for convex functions. Their method also provides a uni fi ed approach with simpler proofs for many recent results related to Young-type and Heinz-type inequalities. In this paper, we propose new re fi nements of Jensen-type inequalities established by Choi, Krni´c and Pe ˇ cari´c via the quadratic interpolation of convex functions. We also give Young-type and Heinz-type inequalities for both scalars and operator cases as an application.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71165201","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
Multilinear commutators related to maximal function on Morrey-Banach space and its application Morrey-Banach空间上与极大函数相关的多线性换向子及其应用
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI: 10.7153/jmi-2022-16-59
Hui ui Zhang, an Lin, Xiao Yu
{"title":"Multilinear commutators related to maximal function on Morrey-Banach space and its application","authors":"Hui ui Zhang, an Lin, Xiao Yu","doi":"10.7153/jmi-2022-16-59","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-59","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71165290","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
Estimates for the numerical radius of n × n operator matrices n × n算子矩阵的数值半径估计
IF 2.9 3区 数学
Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI: 10.7153/jmi-2022-16-60
Changsen Yang, Ke in Wang
{"title":"Estimates for the numerical radius of n × n operator matrices","authors":"Changsen Yang, Ke in Wang","doi":"10.7153/jmi-2022-16-60","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-60","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71165336","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: 1
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