{"title":"(k,s,h)-Riemann-Liouville算子和(k,s)-Hadamard算子的新应用","authors":"M. Bezziou, Z. Dahmani, M. Sarıkaya","doi":"10.30495/JME.V0I0.1478","DOIUrl":null,"url":null,"abstract":"This paper deals with new results on Gruss inequality by using recent fractional integral operators. In fact, based on the (k,s,h)-Riemann-Liouville and the (k,h)-Hadamard fractional operators, we establish several integral results. For our results, some very recent results on the paper: [A Gruss type inequality for two weighted functions. J. Math. Computer Sci., 2018.] can be deduced as some special cases.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2020-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The (k,s,h)-Riemann-Liouville and the (k,s)-Hadamard Operators: New Applications\",\"authors\":\"M. Bezziou, Z. Dahmani, M. Sarıkaya\",\"doi\":\"10.30495/JME.V0I0.1478\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper deals with new results on Gruss inequality by using recent fractional integral operators. In fact, based on the (k,s,h)-Riemann-Liouville and the (k,h)-Hadamard fractional operators, we establish several integral results. For our results, some very recent results on the paper: [A Gruss type inequality for two weighted functions. J. Math. Computer Sci., 2018.] can be deduced as some special cases.\",\"PeriodicalId\":43745,\"journal\":{\"name\":\"Journal of Mathematical Extension\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2020-09-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Extension\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.30495/JME.V0I0.1478\",\"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":"Journal of Mathematical Extension","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30495/JME.V0I0.1478","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
The (k,s,h)-Riemann-Liouville and the (k,s)-Hadamard Operators: New Applications
This paper deals with new results on Gruss inequality by using recent fractional integral operators. In fact, based on the (k,s,h)-Riemann-Liouville and the (k,h)-Hadamard fractional operators, we establish several integral results. For our results, some very recent results on the paper: [A Gruss type inequality for two weighted functions. J. Math. Computer Sci., 2018.] can be deduced as some special cases.
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