Information theoretic measures in one-dimensional Dunkl oscillator

We consider the solution of one dimensional Schr & ouml;dinger Dunkl equation for energies and eigenfunctions. Then we provide analytical expressions for various information theoretic measures. For a given density function, quantities such as position expectation value, entropic moment, disequilibrium, R & eacute;nyi entropy, Shannon entropy, Tsallis entropy, Fisher information are presented. Next, a few relative information measures corresponding to two density functions, like relative entropy, relative Fisher, relative R & eacute;nyi, relative Tsallis, along with their associated Jensen divergences such as Jensen-Shannon divergence, Jensen-Fisher divergence, Jensen-R & eacute;nyi divergence, Jensen-Tsallis divergence are treated. Sample results are provided in graphical form. Dependence of these quantities on the Dunkl parameter mu shows distinct features for mu < 0 and mu > 0.