{"title":"Some new q-Hermite-Hadamard-Mercer inequalities and related estimates in quantum calculus","authors":"M. Ali, E. Köbis","doi":"10.23952/jnva.7.2023.1.04","DOIUrl":null,"url":null,"abstract":". In this paper, we establish a quantum version of the Hermite-Hadamard-Mercer inequalities using the well-known Jensen-Mercer inequality. Moreover, we derive some new q -midpoint and q -trapezoidal type inequalities for differentiable functions. The newly developed inequalities are also shown to be the extensions of preexisting inequalities in the literature","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"18 1","pages":""},"PeriodicalIF":1.9000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nonlinear and Variational Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.23952/jnva.7.2023.1.04","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 2
Abstract
. In this paper, we establish a quantum version of the Hermite-Hadamard-Mercer inequalities using the well-known Jensen-Mercer inequality. Moreover, we derive some new q -midpoint and q -trapezoidal type inequalities for differentiable functions. The newly developed inequalities are also shown to be the extensions of preexisting inequalities in the literature
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