{"title":"New impulsive-integral inequality for stochastic differential equations with Poisson jumps and Caputo fractional derivative","authors":"Dongd ng Gao, Jia li Li","doi":"10.7153/jmi-2023-17-53","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-53","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"52 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":"136373436","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":"Moment convergence rate of estimators in partially linear models under AANA errors","authors":"Lingl ng He, Xiao in Li, None an Shen, Qiu ue Wu","doi":"10.7153/jmi-2023-17-62","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-62","url":null,"abstract":"","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"53 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":"135002953","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}
. A remarkable result which led to Ap´ery’s proof of the irrationality of ζ ( 3 ) is given by the rapidly convergent series
． 一个显著的结果导致了Ap´ery对ζ(3)的无理性的证明是由快速收敛的级数给出的
{"title":"A double inequality for the Apéry constant","authors":"Wei Wang, Chao-Ping Chen","doi":"10.7153/jmi-2023-17-02","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-02","url":null,"abstract":". A remarkable result which led to Ap´ery’s proof of the irrationality of ζ ( 3 ) is given by the rapidly convergent series","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":"71165918","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 paper investigates the nonparametric linear wavelet-based estimators of multi-variate regression functions. Under mild conditions, we establish the asymptotic normality under the weak dependence, which incorporates mixing and association concepts. This framework applies to numerous classes of intriguing statistical processes, primarily Gaussian sequences and, more generally, Bernoulli shifts. We give an application for the con fi dence interval.
{"title":"Asymptotic distribution of the wavelet-based estimators of multivariate regression functions under weak dependence","authors":"Soumaya Allaoui, S. Bouzebda, Jich ng Liu","doi":"10.7153/jmi-2023-17-32","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-32","url":null,"abstract":". This paper investigates the nonparametric linear wavelet-based estimators of multi-variate regression functions. Under mild conditions, we establish the asymptotic normality under the weak dependence, which incorporates mixing and association concepts. This framework applies to numerous classes of intriguing statistical processes, primarily Gaussian sequences and, more generally, Bernoulli shifts. We give an application for the con fi dence interval.","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":"71166264","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":"Sharp inequalities of Iyengar-Madhava Rao-Nanjundiah type including cos(x/√3 + ax^r)","authors":"Keisuke Murata, Yusuke Nishizawa, Atsuya Sakamoto","doi":"10.7153/jmi-2023-17-44","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-44","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":"71166583","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 paper aims to characterize the function appearing in the weighted Hermite-Hadamard inequality. We provide improved inequalities for the weighted means as applications of the obtained results. Modifications of the weighted Hermite-Hadamard inequality are also presented. Our results contain some exciting inequalities and extensions of the known results.
{"title":"Improvements of the weighted Hermite-Hadamard inequality and applications to mean inequality","authors":"S. Furuichi, Nicucsor Minculete, H. Moradi","doi":"10.7153/jmi-2023-17-50","DOIUrl":"https://doi.org/10.7153/jmi-2023-17-50","url":null,"abstract":"This paper aims to characterize the function appearing in the weighted Hermite-Hadamard inequality. We provide improved inequalities for the weighted means as applications of the obtained results. Modifications of the weighted Hermite-Hadamard inequality are also presented. Our results contain some exciting inequalities and extensions of the known results.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43776458","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}
X iv :2 20 6. 05 63 2v 1 [ m at h. C A ] 1 2 Ju n 20 22 Norm Inequalities Related to Heinz and Logarithmic Means Guanghua Shi School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu, China sghkanting@163.com June 14, 2022 Abstract In this paper, we got some refinements of the norm inequalities related to the Heinz mean and logarithmic mean. AMS classification: 47A63; 94A17
X iv：2 20 6。05 63 2v 1[m at h.C A]1 2 Jun 20 22与Heinz和对数均值有关的范数不等式扬州大学光华数学学院，江苏扬州sghkanting@163.com2022年6月14日摘要在本文中，我们得到了与Heinz均值和对数均值相关的范数不等式的一些精化。AMS分类：47A63；94A17
{"title":"Norm inequalities related to Heinz and logarithmic means","authors":"Guanghua Shi","doi":"10.7153/jmi-2022-16-76","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-76","url":null,"abstract":"X iv :2 20 6. 05 63 2v 1 [ m at h. C A ] 1 2 Ju n 20 22 Norm Inequalities Related to Heinz and Logarithmic Means Guanghua Shi School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu, China sghkanting@163.com June 14, 2022 Abstract In this paper, we got some refinements of the norm inequalities related to the Heinz mean and logarithmic mean. AMS classification: 47A63; 94A17","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":" ","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45961180","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}
Generalized trigonometric functions and generalized hyperbolic functions can be converted to each other by the duality formulas previously discovered by the authors. In this paper, we apply the duality formulas to prove dual pairs of Wilker-type inequalities, Huygens-type inequalities, and (relaxed) Cusa-Huygens-type inequalities for the generalized functions. In addition, multiple- and double-angle formulas not previously obtained are also given.
{"title":"Applications of a duality between generalized trigonometric and hyperbolic functions II","authors":"Hiroki Miyakawa, S. Takeuchi","doi":"10.7153/jmi-2022-16-102","DOIUrl":"https://doi.org/10.7153/jmi-2022-16-102","url":null,"abstract":"Generalized trigonometric functions and generalized hyperbolic functions can be converted to each other by the duality formulas previously discovered by the authors. In this paper, we apply the duality formulas to prove dual pairs of Wilker-type inequalities, Huygens-type inequalities, and (relaxed) Cusa-Huygens-type inequalities for the generalized functions. In addition, multiple- and double-angle formulas not previously obtained are also given.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":" ","pages":""},"PeriodicalIF":2.9,"publicationDate":"2022-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47642787","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}
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.
{"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":"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":"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}
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