几个局部分数阶积分不等式与广义矩的有界估计

Some local fractional integral inequalities and bounded estimates of generalized moments

在Yang分形集上以局部分数阶微积分为研究工具,建立了关于广义h-凸函数的Hermite-Hadamard型积分不等式和广义Ostrowski-Čebyšev型不等式。依托这两类广义积分不等式,构建了连续型随机变量广义矩的上下界估计。

Some Hermite-Hadamard type integral inequalities for generalized h-convex function and Ostrowski-Čebyšev inequalities are established on Yang fractal sets by using local fractional calculus as research tool.Based on these two kinds of generalized integral inequalities,the estimates of the upper and lower bounds of the generalized moments of continuous random variables are constructed.