A Note on the Sinc Function

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 ∈Lp(R) for 1p≤+∞ is proved.An upper bound of ‖sinc‖, is obtained,and a lower bound of ‖sinc‖p for positive integer p is given.Finally,the limit of ‖sinc‖ when p→∞ is obtained.