New Inequalities of K-g-Frames in Submodules

We establish some new inequalities for K-g-frames in Hilbert C∗-modules using the Moore–Penrose inverse of the adjointable operator K and a parameter λ. It turns out that the results which we obtained can lead to some known results if we choose particular values for K and λ. We also give a double inequality for K-g-frames in Hilbert C∗-modules with the help of two adjointable operators induced by dual K-gframe pair.