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Multi-Dimensional Hardamard'd Inequalities
並列摘要
In this paper, Hadamar's inequalities are extended to a convex function on a convex set in R^2 or R^3. In particular, it is proved that the average of convex function on a disc of radius r is between the average of the function on the circle of radius r and that on the circle of 2r/3.
並列關鍵字
無資料延伸閱讀
- 鄭名珊（2013）。Some generalizations of Hadamard's double inequality〔碩士論文，淡江大學〕。華藝線上圖書館。https://doi.org/10.6846/TKU.2013.01090
- Tian, J., & Zhou, Y. X. (2013). Refinements of Hardy-Type Inequalities. Abstract and Applied Analysis, 2013(), 604-611-961. https://doi.org/10.1155/2013/727923
- 黃維洲（2015）。SOME refinements of Hadamard Inequality〔碩士論文，淡江大學〕。華藝線上圖書館。https://doi.org/10.6846/TKU.2015.00569
- 郭立惪（2016）。Some refinements of Hadamard Inequality〔碩士論文，淡江大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0002-3105201612441600
- 洪梓瀛（2011）。Some generalizations and applications of Hadamard's inequalities〔碩士論文，淡江大學〕。華藝線上圖書館。https://doi.org/10.6846/TKU.2011.00743