Some inequalities for differentiable convex mapping with application to weighted trapezoidal formula and higher moments of random variables
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摘要
Several inequalities for differentiable convex, wright-convex and quasi-convex mapping are obtained respectively that are connected with the celebrated Hermite–Hadamard integral inequality. Also, some error estimates for weighted Trapezoid formula and higher moments of random variables are given.
论文关键词：Hermite–Hadamard inequality,Convex function,Wright-convex function,Quasi-convex function,Integral inequalities,Trapezoidal formula
论文评审过程：Available online 11 May 2011.
论文官网地址：https://doi.org/10.1016/j.amc.2011.04.036
