一个特定型定积分不等式的若干推广

Some Generalization of a Specific Type Definite Integral Inequality

通过适当构造辅助函数和应用牛顿—莱布尼兹公式、施瓦兹积分不等式,将一个特定型定积分不等式进行了推广.证明了只要被积函数在积分区间内存在零点,该特定型定积分不等式均成立,进而给出实例说明了该不等式成立的正确性.

A specific type definite integral inequality is generalized by structuring suitlable assistant functions as well as applying Newton-- Leibniz formula and Schwarz integral inequality. Proved that the specific type definite integral inequality holds so long as the integrand function exists null point, after then, explain that the inequality is correct by means of actual examples.