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Journal of Inequalities and Applications最新文献

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A difference-based approach in the partially linear model with dependent errors. 具有相关误差的部分线性模型的基于差分的方法。
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-10-01 DOI: 10.1186/s13660-018-1857-x
Zhen Zeng, Xiangdong Liu
{"title":"A difference-based approach in the partially linear model with dependent errors.","authors":"Zhen Zeng,&nbsp;Xiangdong Liu","doi":"10.1186/s13660-018-1857-x","DOIUrl":"https://doi.org/10.1186/s13660-018-1857-x","url":null,"abstract":"<p><p>We study asymptotic properties of estimators of parameter and non-parameter in a partially linear model in which errors are dependent. Using a difference-based and ordinary least square (DOLS) method, the estimator of an unknown parametric component is given and the asymptotic normality of the DOLS estimator is obtained. Meanwhile, the estimator of a nonparametric component is derived by the wavelet method, and asymptotic normality and the weak convergence rate of the wavelet estimator are discussed. Finally, the performance of the proposed estimator is evaluated by a simulation study.</p>","PeriodicalId":49163,"journal":{"name":"Journal of Inequalities and Applications","volume":"2018 1","pages":"267"},"PeriodicalIF":1.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13660-018-1857-x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36663592","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Error analysis for l q -coefficient regularized moving least-square regression. q系数正则化移动最小二乘回归的误差分析。
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-09-25 DOI: 10.1186/s13660-018-1856-y
Qin Guo, Peixin Ye
{"title":"<ArticleTitle xmlns:ns0=\"http://www.w3.org/1998/Math/MathML\">Error analysis for <ns0:math><ns0:msup><ns0:mi>l</ns0:mi> <ns0:mi>q</ns0:mi></ns0:msup> </ns0:math> -coefficient regularized moving least-square regression.","authors":"Qin Guo,&nbsp;Peixin Ye","doi":"10.1186/s13660-018-1856-y","DOIUrl":"https://doi.org/10.1186/s13660-018-1856-y","url":null,"abstract":"<p><p>We consider the moving least-square (MLS) method by the coefficient-based regression framework with <math><msup><mi>l</mi> <mi>q</mi></msup> </math> -regularizer <math><mo>(</mo> <mn>1</mn> <mo>≤</mo> <mi>q</mi> <mo>≤</mo> <mn>2</mn> <mo>)</mo></math> and the sample dependent hypothesis spaces. The data dependent characteristic of the new algorithm provides flexibility and adaptivity for MLS. We carry out a rigorous error analysis by using the stepping stone technique in the error decomposition. The concentration technique with the <math><msup><mi>l</mi> <mn>2</mn></msup> </math> -empirical covering number is also employed in our study to improve the sample error. We derive the satisfactory learning rate that can be arbitrarily close to the best rate <math><mi>O</mi> <mo>(</mo> <msup><mi>m</mi> <mrow><mo>-</mo> <mn>1</mn></mrow> </msup> <mo>)</mo></math> under more natural and much simpler conditions.</p>","PeriodicalId":49163,"journal":{"name":"Journal of Inequalities and Applications","volume":"2018 1","pages":"262"},"PeriodicalIF":1.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13660-018-1856-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36664778","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new type of Taylor series expansion. 一类新的泰勒级数展开式。
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-05-15 DOI: 10.1186/s13660-018-1709-8
Mohammad Masjed-Jamei, Zahra Moalemi, Iván Area, Juan J Nieto
{"title":"A new type of Taylor series expansion.","authors":"Mohammad Masjed-Jamei,&nbsp;Zahra Moalemi,&nbsp;Iván Area,&nbsp;Juan J Nieto","doi":"10.1186/s13660-018-1709-8","DOIUrl":"https://doi.org/10.1186/s13660-018-1709-8","url":null,"abstract":"<p><p>We present a variant of the classical integration by parts to introduce a new type of Taylor series expansion and to present some closed forms for integrals involving Jacobi and Laguerre polynomials, which cannot be directly obtained by usual symbolic computation programs, i.e., only some very specific values can be computed by the mentioned programs. An error analysis is given in the sequel for the introduced expansion.</p>","PeriodicalId":49163,"journal":{"name":"Journal of Inequalities and Applications","volume":"2018 1","pages":"116"},"PeriodicalIF":1.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13660-018-1709-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36114854","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Geometric inequalities for warped product bi-slant submanifolds with a warping function. 具有弯曲函数的弯曲积双斜子流形的几何不等式。
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-09-27 DOI: 10.1186/s13660-018-1843-3
Aliya Naaz Siddiqui, Mohammad Hasan Shahid, Jae Won Lee
{"title":"Geometric inequalities for warped product bi-slant submanifolds with a warping function.","authors":"Aliya Naaz Siddiqui,&nbsp;Mohammad Hasan Shahid,&nbsp;Jae Won Lee","doi":"10.1186/s13660-018-1843-3","DOIUrl":"https://doi.org/10.1186/s13660-018-1843-3","url":null,"abstract":"<p><p>In this paper, we prove that the squared norm of the second fundamental form for bi-slant submanifolds with any codimension of nearly trans-Sasakian manifolds is bounded below by the gradient of a warping function and also find the conditions on which the equality holds. Some related examples are also provided.</p>","PeriodicalId":49163,"journal":{"name":"Journal of Inequalities and Applications","volume":"2018 1","pages":"265"},"PeriodicalIF":1.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13660-018-1843-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36609626","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Sharp bounds for the Sándor-Yang means in terms of arithmetic and contra-harmonic means. 从算术和反谐波手段的角度看桑多-杨手段的锐界。
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-05-30 DOI: 10.1186/s13660-018-1719-6
Hui-Zuo Xu, Yu-Ming Chu, Wei-Mao Qian
{"title":"Sharp bounds for the Sándor-Yang means in terms of arithmetic and contra-harmonic means.","authors":"Hui-Zuo Xu, Yu-Ming Chu, Wei-Mao Qian","doi":"10.1186/s13660-018-1719-6","DOIUrl":"10.1186/s13660-018-1719-6","url":null,"abstract":"<p><p>In the article, we provide several sharp upper and lower bounds for two Sándor-Yang means in terms of combinations of arithmetic and contra-harmonic means.</p>","PeriodicalId":49163,"journal":{"name":"Journal of Inequalities and Applications","volume":"2018 1","pages":"127"},"PeriodicalIF":1.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5976722/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36209123","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimal bounds for the generalized Euler-Mascheroni constant. 广义欧拉-马切洛尼常数的最优边界。
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-05-18 DOI: 10.1186/s13660-018-1711-1
Ti-Ren Huang, Bo-Wen Han, Xiao-Yan Ma, Yu-Ming Chu
{"title":"Optimal bounds for the generalized Euler-Mascheroni constant.","authors":"Ti-Ren Huang, Bo-Wen Han, Xiao-Yan Ma, Yu-Ming Chu","doi":"10.1186/s13660-018-1711-1","DOIUrl":"10.1186/s13660-018-1711-1","url":null,"abstract":"<p><p>We provide several sharp upper and lower bounds for the generalized Euler-Mascheroni constant. As consequences, some previous bounds for the Euler-Mascheroni constant are improved.</p>","PeriodicalId":49163,"journal":{"name":"Journal of Inequalities and Applications","volume":"2018 1","pages":"118"},"PeriodicalIF":1.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5959998/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36134894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Maximum norm error estimates of fourth-order compact difference scheme for the nonlinear Schrödinger equation involving a quintic term. 含五次项的非线性Schrödinger方程的四阶紧致差分格式的最大范数误差估计。
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-07-20 DOI: 10.1186/s13660-018-1775-y
Hanqing Hu, Hanzhang Hu
{"title":"Maximum norm error estimates of fourth-order compact difference scheme for the nonlinear Schrödinger equation involving a quintic term.","authors":"Hanqing Hu,&nbsp;Hanzhang Hu","doi":"10.1186/s13660-018-1775-y","DOIUrl":"https://doi.org/10.1186/s13660-018-1775-y","url":null,"abstract":"<p><p>A compact finite difference (CFD) scheme is presented for the nonlinear Schrödinger equation involving a quintic term. The two discrete conservative laws are obtained. The unconditional stability and convergence in maximum norm with order <math><mi>O</mi><mo>(</mo><msup><mi>τ</mi><mn>2</mn></msup><mo>+</mo><msup><mi>h</mi><mn>4</mn></msup><mo>)</mo></math> are proved by using the energy method. A numerical experiment is presented to support our theoretical results.</p>","PeriodicalId":49163,"journal":{"name":"Journal of Inequalities and Applications","volume":"2018 1","pages":"180"},"PeriodicalIF":1.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13660-018-1775-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36419169","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
On a new discrete Mulholland-type inequality in the whole plane. 全平面上一个新的离散mulholland型不等式。
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-07-24 DOI: 10.1186/s13660-018-1777-9
Bicheng Yang, Qiang Chen
{"title":"On a new discrete Mulholland-type inequality in the whole plane.","authors":"Bicheng Yang,&nbsp;Qiang Chen","doi":"10.1186/s13660-018-1777-9","DOIUrl":"https://doi.org/10.1186/s13660-018-1777-9","url":null,"abstract":"<p><p>A new discrete Mulholland-type inequality in the whole plane with a best possible constant factor is presented by introducing multi-parameters, applying weight coefficients, and using Hermite-Hadamard's inequality. Moreover, the equivalent forms, some particular cases, and the operator expressions are considered.</p>","PeriodicalId":49163,"journal":{"name":"Journal of Inequalities and Applications","volume":"2018 1","pages":"184"},"PeriodicalIF":1.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13660-018-1777-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36419173","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Reverses of Ando's and Hölder-McCarty's inequalities. 安藤和Hölder-McCarty不等式的反转。
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-07-05 DOI: 10.1186/s13660-018-1758-z
Monire Hajmohamadi, Rahmatollah Lashkaripour, Mojtaba Bakherad
{"title":"Reverses of Ando's and Hölder-McCarty's inequalities.","authors":"Monire Hajmohamadi,&nbsp;Rahmatollah Lashkaripour,&nbsp;Mojtaba Bakherad","doi":"10.1186/s13660-018-1758-z","DOIUrl":"https://doi.org/10.1186/s13660-018-1758-z","url":null,"abstract":"<p><p>In this paper, we give some reverse-types of Ando's and Hölder-McCarthy's inequalities for positive linear maps, and positive invertible operators. For this purpose, we use a recently improved Young inequality and its reverse.</p>","PeriodicalId":49163,"journal":{"name":"Journal of Inequalities and Applications","volume":"2018 1","pages":"164"},"PeriodicalIF":1.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13660-018-1758-z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36422940","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Consumption-portfolio choice with subsistence consumption and risk aversion change at retirement. 具有生存消费和风险规避的消费组合选择在退休时发生变化。
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-07-06 DOI: 10.1186/s13660-018-1756-1
Ho-Seok Lee
{"title":"Consumption-portfolio choice with subsistence consumption and risk aversion change at retirement.","authors":"Ho-Seok Lee","doi":"10.1186/s13660-018-1756-1","DOIUrl":"https://doi.org/10.1186/s13660-018-1756-1","url":null,"abstract":"<p><p>This paper considers subsistence consumption of an economic agent both before and after retirement in analyzing the optimal consumption, portfolio, and retirement problem. We allow the relative risk aversion of the economic agent to make a one-off jump at retirement. With a Cobb-Douglas utility function, we obtain explicit expressions for the optimal policies. Numerical results show that, whereas post-retirement subsistence consumption tends to delay retirement, pre-retirement subsistence consumption and the magnitude of jump in relative risk aversion may stimulate early retirement. Also, the consumption drop at retirement deepens as post-retirement subsistence consumption increases, but it weakens as pre-retirement subsistence consumption increases.</p>","PeriodicalId":49163,"journal":{"name":"Journal of Inequalities and Applications","volume":"2018 1","pages":"165"},"PeriodicalIF":1.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13660-018-1756-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36422941","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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