Now, based on its result and definite integral transform methods, and extended to three dimensional space, the Poincaré inequalities on unit cube and trapezoid platform with a right angle are discussed, and the upper bound of the constants in the inequalities are obtained.
为了使 Poincaré不等式中的常数具体化 ,引入一个重要引理 ,利用其结果 ,采用定积分的有关变换方法 ,将已有结果加以推广 ,讨论了三维空间中单位正方体及直角梯形台上的 Poincaré不等式 ,给出了不等式中常数的一个上界 ,使不等式得到优
