{"title":"$(p,q)$-微积分中$n^{th}$-阶OPIAL不等式的推广","authors":"M. M. Iddrisu, B. Abubakari, J. López-Bonilla","doi":"10.37418/amsj.11.10.5","DOIUrl":null,"url":null,"abstract":"We establish the generalized $n^{th}$-Order Opial's integral inequality via (p,q)-calculus with some extensions. The other analytical tools used to establish the results were $(p,q)$-Cauchy repeated integration formula and $(p,q)$-Cauchy-Schwarz's integral inequality.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"GENERALIZATION OF THE $n^{th}$-ORDER OPIAL'S INEQUALITY IN $(p,q)$-CALCULUS\",\"authors\":\"M. M. Iddrisu, B. Abubakari, J. López-Bonilla\",\"doi\":\"10.37418/amsj.11.10.5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We establish the generalized $n^{th}$-Order Opial's integral inequality via (p,q)-calculus with some extensions. The other analytical tools used to establish the results were $(p,q)$-Cauchy repeated integration formula and $(p,q)$-Cauchy-Schwarz's integral inequality.\",\"PeriodicalId\":231117,\"journal\":{\"name\":\"Advances in Mathematics: Scientific Journal\",\"volume\":\"32 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-10-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Mathematics: Scientific Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37418/amsj.11.10.5\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Mathematics: Scientific Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37418/amsj.11.10.5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
GENERALIZATION OF THE $n^{th}$-ORDER OPIAL'S INEQUALITY IN $(p,q)$-CALCULUS
We establish the generalized $n^{th}$-Order Opial's integral inequality via (p,q)-calculus with some extensions. The other analytical tools used to establish the results were $(p,q)$-Cauchy repeated integration formula and $(p,q)$-Cauchy-Schwarz's integral inequality.
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