  Let $G$ be a connected uniform hypergraphs with maximum degree $\Delta$,
spectral radius $\lambda$ and minimum H-eigenvalue $\mu$. In this paper, we
give some lower bounds for $\Delta-\lambda$, which extend the result of [S.M.
Cioab\u{a}, D.A. Gregory, V. Nikiforov, Extreme eigenvalues of nonregular
graphs, J. Combin. Theory, Ser. B 97 (2007) 483-486] to hypergraphs. Applying
these bounds, we also obtain a lower bound for $\Delta+\mu$.
