Certain novel estimates within fractional calculus theory on time scales

The key purpose of this study is to suggest a delta Riemann-Liouville (RL) fractional integral operators for deriving certain novel refinements of Polya-Szego and Cebysev type inequalities on time scales. Some new Polya-Szego, Cebysev and extended Cebysev inequalities via delta-RL fractional integral operator on a time scale that captures some continuous and discrete analogues in the relative literature. New explicit bounds for unknown functions concerned are obtained due to the presented inequalities.