{"title":"D -同步函数及相关函数的不等式","authors":"S. Dragomir","doi":"10.18273/revint.v38n2-2020005","DOIUrl":null,"url":null,"abstract":"We introduce in this paper the concept of quadruple D−synchronous functions which generalizes the concept of a pair of synchronous functions, we establish an inequality similar to Chebyshev inequality and we also provide some Cauchy-Bunyakovsky-Schwarz type inequalities for a functional associated with this quadruple. Some applications for univariate functions of real variable are given. Discrete inequalities are also stated.","PeriodicalId":173965,"journal":{"name":"Revista integración, temas de matemáticas","volume":"5 9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Inequalities for D−Synchronous Functions and Related Functionals\",\"authors\":\"S. Dragomir\",\"doi\":\"10.18273/revint.v38n2-2020005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We introduce in this paper the concept of quadruple D−synchronous functions which generalizes the concept of a pair of synchronous functions, we establish an inequality similar to Chebyshev inequality and we also provide some Cauchy-Bunyakovsky-Schwarz type inequalities for a functional associated with this quadruple. Some applications for univariate functions of real variable are given. Discrete inequalities are also stated.\",\"PeriodicalId\":173965,\"journal\":{\"name\":\"Revista integración, temas de matemáticas\",\"volume\":\"5 9 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-11-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Revista integración, temas de matemáticas\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18273/revint.v38n2-2020005\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista integración, temas de matemáticas","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18273/revint.v38n2-2020005","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Inequalities for D−Synchronous Functions and Related Functionals
We introduce in this paper the concept of quadruple D−synchronous functions which generalizes the concept of a pair of synchronous functions, we establish an inequality similar to Chebyshev inequality and we also provide some Cauchy-Bunyakovsky-Schwarz type inequalities for a functional associated with this quadruple. Some applications for univariate functions of real variable are given. Discrete inequalities are also stated.
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