  Let $(\{f_j\}_{j=1}^n, \{\tau_j\}_{j=1}^n)$ and $(\{g_k\}_{k=1}^n,
\{\omega_k\}_{k=1}^n)$ be two p-orthonormal bases for a finite dimensional
Banach space $\mathcal{X}$. Let $M,N\subseteq \{1, \dots, n\}$ be such that
\begin{align*}
  o(M)^\frac{1}{q}o(N)^\frac{1}{p}< \frac{1}{\displaystyle \max_{1\leq j,k\leq
n}|g_k(\tau_j) |}, \end{align*} where $q$ is the conjugate index of $p$. Then
for all $x \in \mathcal{X}$, we show that \begin{align}\label{FGJU} (1) \quad
\quad \quad \quad \|x\|\leq
\left(1+\frac{1}{1-o(M)^\frac{1}{q}o(N)^\frac{1}{p}\displaystyle\max_{1\leq
j,k\leq n}|g_k(\tau_j)|}\right)\left[\left(\sum_{j\in
M^c}|f_j(x)|^p\right)^\frac{1}{p}+\left(\sum_{k\in N^c}|g_k(x)
|^p\right)^\frac{1}{p}\right]. \end{align}
  We call Inequality (1) as \textbf{Functional Ghobber-Jaming Uncertainty
Principle}. Inequality (1) improves the uncertainty principle obtained by
Ghobber and Jaming \textit{[Linear Algebra Appl., 2011]}.
