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題名 | Weighted Simpson Type Inequalities for Differentiable Convex Mapping with Application to Weighted Simpson Formula and Higher Moments of Random Variables=關於可微分函數的加權辛普森不等式和高階動差的隨機變數之應用 |
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作者 | 呂漢軍; 黃大炎; | 書刊名 | 馬偕學報 |
卷期 | 11 2013.08[民102.08] |
頁次 | 頁71-90 |
分類號 | 314.16 |
關鍵詞 | 辛普森的不等式; 凸函數; Wright-凸函數; 準-凸函數; 積分不等式; 辛普森公式; Simpson's inequality; Convex function; Wright-convex function; Quasi-convex function; Integral inequalities; Simpson's formula; |
語文 | 英文(English) |
中文摘要 | 本論文建立一些關於可微分的凸函數、Wright-凸函數和準-凸函數之加權的辛普森不等式,應用其結果,同時也得到一些加權的辛普森之面積的誤差公式和高階動差的隨機變數。 |
英文摘要 | Several weighted Simpson type inequalities for differentiable convex, Wright-convex and Quasi-convex mapping are established respectively. Also, some error estimates for weighted Simpson's quadrature formula and higher moments of random variables are given. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。