分数阶积分中点型不等式的新推广

Q4 Mathematics

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2021-01-01 DOI:10.47743/ANSTIM.2021.00009

H. Budak, Rabia Kapucu

{"title":"分数阶积分中点型不等式的新推广","authors":"H. Budak, Rabia Kapucu","doi":"10.47743/ANSTIM.2021.00009","DOIUrl":null,"url":null,"abstract":"In this paper, we firstly obtain a new generalized identity for Riemann-Liouville fractional integrals. Then, utilizing this equality, we obtain some Midpoint type inequalities for convex and concave functions. We also give several remarks and corollaries as spacial cases.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"67 1","pages":"113-128"},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"New generalization of midpoint type inequalities for fractional integral\",\"authors\":\"H. Budak, Rabia Kapucu\",\"doi\":\"10.47743/ANSTIM.2021.00009\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we firstly obtain a new generalized identity for Riemann-Liouville fractional integrals. Then, utilizing this equality, we obtain some Midpoint type inequalities for convex and concave functions. We also give several remarks and corollaries as spacial cases.\",\"PeriodicalId\":55523,\"journal\":{\"name\":\"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica\",\"volume\":\"67 1\",\"pages\":\"113-128\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.47743/ANSTIM.2021.00009\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47743/ANSTIM.2021.00009","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 5

摘要

本文首先得到了Riemann-Liouville分数阶积分的一个新的广义恒等式。然后，利用这个等式，得到了凸函数和凹函数的中点型不等式。作为特殊情况，我们也给出了几点评论和推论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

New generalization of midpoint type inequalities for fractional integral

In this paper, we firstly obtain a new generalized identity for Riemann-Liouville fractional integrals. Then, utilizing this equality, we obtain some Midpoint type inequalities for convex and concave functions. We also give several remarks and corollaries as spacial cases.

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

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research and research-expository papers in all fields of mathematics.