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Journal of Inequalities and Applications最新文献

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Hadamard and Fejér-Hadamard inequalities for extended generalized fractional integrals involving special functions. 涉及特殊函数的扩展广义分式积分的哈达玛德和费耶尔-哈达玛德不等式。
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/s13660-018-1701-3
Shin Min Kang, Ghulam Farid, Waqas Nazeer, Bushra Tariq
{"title":"Hadamard and Fejér-Hadamard inequalities for extended generalized fractional integrals involving special functions.","authors":"Shin Min Kang, Ghulam Farid, Waqas Nazeer, Bushra Tariq","doi":"10.1186/s13660-018-1701-3","DOIUrl":"10.1186/s13660-018-1701-3","url":null,"abstract":"<p><p>In this paper we prove the Hadamard and the Fejér-Hadamard inequalities for the extended generalized fractional integral operator involving the extended generalized Mittag-Leffler function. The extended generalized Mittag-Leffler function includes many known special functions. We have several such inequalities corresponding to special cases of the extended generalized Mittag-Leffler function. Also there we note the known results that can be obtained.</p>","PeriodicalId":49163,"journal":{"name":"Journal of Inequalities and Applications","volume":"2018 1","pages":"119"},"PeriodicalIF":1.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5960012/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36134896","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
Some generalizations of the new SOR-like method for solving symmetric saddle-point problems. 求解对称鞍点问题的类sor新方法的一些推广。
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-06-26 DOI: 10.1186/s13660-018-1738-3
Ruiping Wen, Ruihuan Wu, Jinrui Guan
{"title":"Some generalizations of the new SOR-like method for solving symmetric saddle-point problems.","authors":"Ruiping Wen,&nbsp;Ruihuan Wu,&nbsp;Jinrui Guan","doi":"10.1186/s13660-018-1738-3","DOIUrl":"https://doi.org/10.1186/s13660-018-1738-3","url":null,"abstract":"<p><p>Saddle-point problems arise in many areas of scientific computing and engineering applications. Research on the efficient numerical methods of these problems has become a hot topic in recent years. In this paper, we propose some generalizations of the new SOR-like method based on the original method. Convergence of these methods is discussed under suitable restrictions on iteration parameters. Numerical experiments are given to show that these methods are effective and efficient.</p>","PeriodicalId":49163,"journal":{"name":"Journal of Inequalities and Applications","volume":"2018 1","pages":"145"},"PeriodicalIF":1.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13660-018-1738-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36312532","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: 2
A new sequence related to the Euler-Mascheroni constant. 一个与Euler-Mascheroni常数有关的新序列。
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-06-28 DOI: 10.1186/s13660-018-1746-3
Shanhe Wu, Gabriel Bercu
{"title":"A new sequence related to the Euler-Mascheroni constant.","authors":"Shanhe Wu,&nbsp;Gabriel Bercu","doi":"10.1186/s13660-018-1746-3","DOIUrl":"https://doi.org/10.1186/s13660-018-1746-3","url":null,"abstract":"<p><p>In this paper, we provide a new quicker sequence convergent to the Euler-Mascheroni constant using an approximation of Padé type. Our sequence has a relatively simple form and higher speed of convergence. Moreover, we establish lower and upper bound estimates for the difference between the sequence and the Euler-Mascheroni constant.</p>","PeriodicalId":49163,"journal":{"name":"Journal of Inequalities and Applications","volume":"2018 1","pages":"151"},"PeriodicalIF":1.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13660-018-1746-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36419159","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: 2
Metric characterizations for well-posedness of split hemivariational inequalities. 分裂半分不等式适定性的度量刻画。
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-07-27 DOI: 10.1186/s13660-018-1761-4
Qiao-Yuan Shu, Rong Hu, Yi-Bin Xiao
{"title":"Metric characterizations for well-posedness of split hemivariational inequalities.","authors":"Qiao-Yuan Shu,&nbsp;Rong Hu,&nbsp;Yi-Bin Xiao","doi":"10.1186/s13660-018-1761-4","DOIUrl":"https://doi.org/10.1186/s13660-018-1761-4","url":null,"abstract":"<p><p>In this paper, we generalize the concept of well-posedness to a class of split hemivariational inequalities. By imposing very mild assumptions on involved operators, we establish some metric characterizations of the well-posedness for the split hemivariational inequality. The obtained results generalize some related theorems on well-posedness for hemivariational inequalities and variational inequalities in the literature.</p>","PeriodicalId":49163,"journal":{"name":"Journal of Inequalities and Applications","volume":"2018 1","pages":"190"},"PeriodicalIF":1.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13660-018-1761-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36419179","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: 26
Bahadur representations of M-estimators and their applications in general linear models. m估计量的Bahadur表示及其在一般线性模型中的应用。
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-05-22 DOI: 10.1186/s13660-018-1715-x
Hongchang Hu
{"title":"Bahadur representations of M-estimators and their applications in general linear models.","authors":"Hongchang Hu","doi":"10.1186/s13660-018-1715-x","DOIUrl":"https://doi.org/10.1186/s13660-018-1715-x","url":null,"abstract":"<p><p>Consider the linear regression model <dispformula><math><msub><mi>y</mi><mi>i</mi></msub><mo>=</mo><msubsup><mi>x</mi><mi>i</mi><mi>T</mi></msubsup><mi>β</mi><mo>+</mo><msub><mi>e</mi><mi>i</mi></msub><mo>,</mo><mspace></mspace><mi>i</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mo>…</mo><mo>,</mo><mi>n</mi><mo>,</mo></math></dispformula> where <math><msub><mi>e</mi><mi>i</mi></msub><mo>=</mo><mi>g</mi><mo>(</mo><mo>…</mo><mo>,</mo><msub><mi>ε</mi><mrow><mi>i</mi><mo>-</mo><mn>1</mn></mrow></msub><mo>,</mo><msub><mi>ε</mi><mi>i</mi></msub><mo>)</mo></math> are general dependence errors. The Bahadur representations of M-estimators of the parameter <i>β</i> are given, by which asymptotically the theory of M-estimation in linear regression models is unified. As applications, the normal distributions and the rates of strong convergence are investigated, while <math><mo>{</mo><msub><mi>ε</mi><mi>i</mi></msub><mo>,</mo><mi>i</mi><mo>∈</mo><mi>Z</mi><mo>}</mo></math> are <i>m</i>-dependent, and the martingale difference and <math><mo>(</mo><mi>ε</mi><mo>,</mo><mi>ψ</mi><mo>)</mo></math> -weakly dependent.</p>","PeriodicalId":49163,"journal":{"name":"Journal of Inequalities and Applications","volume":"2018 1","pages":"123"},"PeriodicalIF":1.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13660-018-1715-x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36421021","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
Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function. 一些涉及扩展伽玛函数和Kummer合流超几何k-函数的不等式。
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-06-19 DOI: 10.1186/s13660-018-1717-8
Kottakkaran Sooppy Nisar, Feng Qi, Gauhar Rahman, Shahid Mubeen, Muhammad Arshad
{"title":"Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric <i>k</i>-function.","authors":"Kottakkaran Sooppy Nisar,&nbsp;Feng Qi,&nbsp;Gauhar Rahman,&nbsp;Shahid Mubeen,&nbsp;Muhammad Arshad","doi":"10.1186/s13660-018-1717-8","DOIUrl":"10.1186/s13660-018-1717-8","url":null,"abstract":"<p><p>In the paper, the authors present some inequalities involving the extended gamma function and the Kummer confluent hypergeometric <i>k</i>-function via some classical inequalities such as Chebychev's inequality for synchronous (or asynchronous, respectively) mappings, give a new proof of the log-convexity of the extended gamma function by using the Hölder inequality, and introduce a Turán type mean inequality for the Kummer confluent <i>k</i>-hypergeometric function.</p>","PeriodicalId":49163,"journal":{"name":"Journal of Inequalities and Applications","volume":"2018 1","pages":"135"},"PeriodicalIF":1.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13660-018-1717-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36421810","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: 41
Some results of Heron mean and Young's inequalities. Heron均值和Young不等式的一些结果。
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-07-13 DOI: 10.1186/s13660-018-1765-0
Changsen Yang, Yonghui Ren
{"title":"Some results of Heron mean and Young's inequalities.","authors":"Changsen Yang,&nbsp;Yonghui Ren","doi":"10.1186/s13660-018-1765-0","DOIUrl":"https://doi.org/10.1186/s13660-018-1765-0","url":null,"abstract":"<p><p>In this paper, we will show some improvements of Heron mean and the refinements of Young's inequalities for operators and matrices with a different method based on others' results.</p>","PeriodicalId":49163,"journal":{"name":"Journal of Inequalities and Applications","volume":"2018 1","pages":"172"},"PeriodicalIF":1.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13660-018-1765-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36421822","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
Complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence. 鞅差序列随机加权和的完全收敛性和完全矩收敛性。
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-07-13 DOI: 10.1186/s13660-018-1770-3
Huanhuan Ma, Yan Sun
{"title":"Complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence.","authors":"Huanhuan Ma,&nbsp;Yan Sun","doi":"10.1186/s13660-018-1770-3","DOIUrl":"10.1186/s13660-018-1770-3","url":null,"abstract":"<p><p>In this paper, we extend some known results about complete convergence and establish the complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence. Our results can generalize some conclusions related to Hsu-Robbins-Erdös strong laws and Baum-Katz type theorems for martingales.</p>","PeriodicalId":49163,"journal":{"name":"Journal of Inequalities and Applications","volume":"2018 1","pages":"173"},"PeriodicalIF":1.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13660-018-1770-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36421823","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
One kind hybrid character sums and their upper bound estimates. 一类混合特征和及其上界估计。
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-07-04 DOI: 10.1186/s13660-018-1753-4
Jianhong Zhao, Xiao Wang
{"title":"One kind hybrid character sums and their upper bound estimates.","authors":"Jianhong Zhao,&nbsp;Xiao Wang","doi":"10.1186/s13660-018-1753-4","DOIUrl":"https://doi.org/10.1186/s13660-018-1753-4","url":null,"abstract":"<p><p>The main purpose of this paper is applying the analysis method, the properties of Lucas polynomials and Gauss sums to study the estimation problems of some kind hybrid character sums. In the end, we obtain several sharp upper bound estimates for them. As some applications, we prove some new and interesting combinatorial identities.</p>","PeriodicalId":49163,"journal":{"name":"Journal of Inequalities and Applications","volume":"2018 1","pages":"160"},"PeriodicalIF":1.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13660-018-1753-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36422936","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: 2
Different types of quantum integral inequalities via ( α , m ) -convexity. 不同类型的量子积分不等式通过(α， m) -凸性。
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/s13660-018-1860-2
Yao Zhang, Ting-Song Du, Hao Wang, Yan-Jun Shen
{"title":"<ArticleTitle xmlns:ns0=\"http://www.w3.org/1998/Math/MathML\">Different types of quantum integral inequalities via <ns0:math><ns0:mo>(</ns0:mo> <ns0:mi>α</ns0:mi> <ns0:mo>,</ns0:mo> <ns0:mi>m</ns0:mi> <ns0:mo>)</ns0:mo></ns0:math> -convexity.","authors":"Yao Zhang,&nbsp;Ting-Song Du,&nbsp;Hao Wang,&nbsp;Yan-Jun Shen","doi":"10.1186/s13660-018-1860-2","DOIUrl":"https://doi.org/10.1186/s13660-018-1860-2","url":null,"abstract":"<p><p>In this paper, based on <math><mo>(</mo> <mi>α</mi> <mo>,</mo> <mi>m</mi> <mo>)</mo></math> -convexity, we establish different type inequalities via quantum integrals. These inequalities generalize some results given in the literature.</p>","PeriodicalId":49163,"journal":{"name":"Journal of Inequalities and Applications","volume":"2018 1","pages":"264"},"PeriodicalIF":1.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13660-018-1860-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36609590","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: 24
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