Turán Type Inequalities for Dunkl Kernel and $q$-Dunkl Kernel

Khaled Mehrez, Mariem Ben Said, Jamel El Kamel

We prove turán type inequalities for Dunkl kernel. We provide a $q$-integral representation for the $q$-Dunkl kernel. Using a $q$-version of Schwartz inequality, we get a turán typ…