an improvement of the upper bound on the entropy of information sources

Theory of zeta functions and fractional calculus plays an important role in the statistical problems and shannon’s entropy. there is a close relationship between the maximum entropy values and fractional equations. estimation of shannon’s entropies of information sources from numerical simulation of long orbits is difficult. our aim within this paper is to present a strong upper bound for the shannon’s entropy of information sources and estimate the numerical entropy value by figuring out entropy-fitted bounds.