On an Integral Inequality of Feng Qi

In this note, we study a general version of a problem posed by Feng Qi in [10] in the context of a measured space endowed with a positive ¯nite measure. For other studies and results, one can consult the pa- pers [2], [3], [5], [8], [9], [12], [13] and [14]. Our basic tool is the classical HÄolder inequality. By the convexity method (see [3]) we give an inter- pretation of the lower bound occuring in our main result (see Theorem 2.2 below)