{"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":"1 1","pages":""},"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}
. 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.
{"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":"1 1","pages":""},"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}
. 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.
{"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":"1 1","pages":""},"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}
. 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.
{"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":"1 1","pages":""},"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}
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":"80 1","pages":""},"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}
. 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.
{"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":"1 1","pages":""},"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}
{"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":"1 1","pages":""},"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}
{"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":"1 1","pages":""},"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}
{"title":"Random stability and hyperstability of multi-quadratic mappings","authors":"Choonkill Park, A. Bodaghi, I. A. Alias","doi":"10.7153/jmi-2022-16-67","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-67","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71165414","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 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.
{"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":"1 1","pages":""},"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}
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