研究了sinc函数的一些主要性质.首先回顾了sinc函数的一些基本性质,然后给出了sinc函数的一个控制函数.在此基础上,证明了当1＜p≤+∞,sinc ∈Lp(R),并得到了它的Lp口范数的一个上界,当p为正整数时,还给出了Lp范数的一个下界.最后,证明了当p→∞时,‖ sinc‖p→1.%Some properties of the sinc function are investigated. First, some basic properties of the sinc function are recalled. Then, a function which dominated the sinc function is obtained. Based on those, the result sinc E Lp(R) for 1 < p≤ + ∞ is proved. An upper bound of ||sinc||p is obtained, and a lower bound of ||sine p for positive integerp is gjven. Finally, the limit of ||sinc||p whenp→∞ is obtained.
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