Abstract
The aim of this paper is to evaluate the potential improvement of classification results in the frame of discrete proportional fractional operator. The nonlocal kernel of the generalized proportional fractional sum depending on (h) over cap -discrete exponential functions defined on time scale (h) over capZ. This paper deals novel discrete versions of the Polya-Szego and CebyseV type inequalities via discrete (h) over cap -proportional fractional sums. These generalizations have potential utilities in the study of finite difference equations and statistical analysis. Taking into account the discrete (h) over cap proportional fractional sums, the main consequences concerns a quite general form of the PolyaSzego and CebyseV variants. In addition, the present investigation is a discrete analogue of integral inequalities established in the relative literature and also expands several discrete variants for nabla (h) over cap -fractional sums in particular. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.