New estimation of Zipf–Mandelbrot and Shannon entropies via refinements of Jensen’s inequality
New estimation of Zipf–Mandelbrot and Shannon entropies via refinements of Jensen’s inequality
Zipf–Mandelbrot and Shannon entropies are some basic and useful tools to quantify information about certain phenomena in various fields of science and technology, for example statistics, ecology, biology, and information theory. In this paper, we obtain some new bounds for generalized Shannon and Zipf–Mandelbrot entropies by using some specific refinements …