利用Lidstone多项式和新Green函数对多数化不等式的推广结果

The Journal of Nonlinear Sciences and Applications Pub Date : 2018-05-03 DOI:10.22436/jnsa.011.06.08

N. Latif, J. Pečarić, N. Siddique

{"title":"利用Lidstone多项式和新Green函数对多数化不等式的推广结果","authors":"N. Latif, J. Pečarić, N. Siddique","doi":"10.22436/jnsa.011.06.08","DOIUrl":null,"url":null,"abstract":"Generalized results of majorization inequality are obtained by using newly Green functions defined in [N. Mahmood, R. P. Agarwal, S. I. Butt, J. Pecari ˇ c, J. Inequal. Appl., ´ 2017 (2017), 17 pages] and Lidstone’s polynomial. We find new upper bounds of Gruss and Ostrowski type. We give further results of majorization inequality by making linear functionals constructed on ¨ convex functions. Some applications are given.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"50 1","pages":"812-831"},"PeriodicalIF":0.0000,"publicationDate":"2018-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Generalized results of Majorization inequality via Lidstone's polynomial and newly Green function\",\"authors\":\"N. Latif, J. Pečarić, N. Siddique\",\"doi\":\"10.22436/jnsa.011.06.08\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Generalized results of majorization inequality are obtained by using newly Green functions defined in [N. Mahmood, R. P. Agarwal, S. I. Butt, J. Pecari ˇ c, J. Inequal. Appl., ´ 2017 (2017), 17 pages] and Lidstone’s polynomial. We find new upper bounds of Gruss and Ostrowski type. We give further results of majorization inequality by making linear functionals constructed on ¨ convex functions. Some applications are given.\",\"PeriodicalId\":22770,\"journal\":{\"name\":\"The Journal of Nonlinear Sciences and Applications\",\"volume\":\"50 1\",\"pages\":\"812-831\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-05-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The Journal of Nonlinear Sciences and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22436/jnsa.011.06.08\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Journal of Nonlinear Sciences and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22436/jnsa.011.06.08","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 2

摘要

利用[N]中定义的新Green函数，得到了多数化不等式的推广结果。马茂德，r.p. Agarwal, S. I. Butt, J. Pecari, c, J.不等式。达成。， ' 2017(2017)， 17页]和Lidstone的多项式。我们找到了新的Gruss型和Ostrowski型的上界。通过构造在凸函数上构造的线性泛函，给出了多数化不等式的进一步结果。给出了一些应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Generalized results of Majorization inequality via Lidstone's polynomial and newly Green function

Generalized results of majorization inequality are obtained by using newly Green functions defined in [N. Mahmood, R. P. Agarwal, S. I. Butt, J. Pecari ˇ c, J. Inequal. Appl., ´ 2017 (2017), 17 pages] and Lidstone’s polynomial. We find new upper bounds of Gruss and Ostrowski type. We give further results of majorization inequality by making linear functionals constructed on ¨ convex functions. Some applications are given.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

The Journal of Nonlinear Sciences and Applications

自引率

0.00%

发文量