On Rabier's result and nonbounded montgomery's identity

In this paper, we use generalized Montgomery's identity, given in [7], to give improvement of result from [9] for the class of n-convex functions. © 2019 Element D.O.O. All Rights Reserved

Hybrid Zipf-Mandelbrot law

There is a unified approach, maximization of Shannon entropy, that naturally follows the path of generalization from Zipf's to hybrid Zipf's law. Extending this idea we make transition from Zipf-Mandelbrot to hybrid Zipf-Mandelbrot law. It is interesting that examination of its densities provides some new insights of Lerch's transcendent. © ELEMENT, Zagreb

On Some Improvements of the Jensen Inequality with Some Applications

An improvement of the Jensen inequality for convex and monotone function is given as well as various applications for mean. Similar results for related inequalities of the Jensen type are also obtained. Also some applications of the Cauchy mean and the Jensen inequality are discussed