This paper highlights some inequalities for continuous functions of selfadjoint operators in Hilbert space. The paper builds upon the vast literature of inequalities for functions of selfadjoint operators in Hilbert space and adequate references are mentioned. If \(E_{{[\lambda]}_{\lambda\in \mathbb{R}}}\) is the spectral family of a bounded selfadjoint operator \(A\) on a Hilbert space \(H\) and \(m = \min \mathrm{Sp}(A)\) and \(M = \max \mathrm{Sp}(A)\), then the author shows that, for any continuous function \(f:[m,M]\rightarrow C\), \[ \left|\langle \varphi(A)x,y \rangle\right|^{2}\leq ((\int^{M}_{m-0}|\varphi(t)|d\bigvee^{t}_{m-0}(\langle E_{(.)}x, y\rangle))^{2} \] for any vectors \(x\) and \(y\) from \(H\). Applications and related results are established in the final section.