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Majorization effect on some entropic functionals, such as von-Neumann,Shannon, atomic Wehrl and R\'enyi entropies are investigated of a V-typethree-level atom, which interacts with a coherent field in a resonant cavity.Fidelity, purity and linear entropy are investigated for two quantum systems,which contain photon number distributions and Husimi Q functions. A relationbetween majorization and localization properties of continuous densityfunctionals is established. The results are compared and verified forcontinuous and discrete distributions of an atom-field interacting system.

Majorization effect on entropic functionals: An application to a V-type three-level atom-field interacting system