2016 Volume 9 Issue 3 Pages 219-228
Since the basis of Hölder's inequality was found by mathematicians, i.e., independently by Rogers in 1888 and Hölder in 1889, the inequality has been frequently utilized as a basic inequality in mathematical analysis such as functional analysis. However, surprisingly, no physical interpretation of the inequality was introduced until 2014. In this article, I show that the inequality gives an elegant solution to a recent open nonlinear problem. It is also asserted that the inequality can be a fundamental basis in Tsallis statistics, studied recently in information and communications technology. Furthermore, it is argued that the inequality can make a useful addition to modern control theory.
