  We present a Wideband Tapered Gridded Estimator (TGE), which incorporates
baseline migration and variation of the primary beam pattern for neutral
hydrogen (${\rm H\hspace{0.5mm}}{\scriptsize {\rm I}}$) 21-cm intensity mapping
(IM) with large frequency bandwidth radio-interferometric observations. Here we
have analysed $394-494 \, {\rm MHz}$ $(z = 1.9 - 2.6)$ uGMRT data to estimate
the Multi-frequency Angular Power Spectrum (MAPS) $C_\ell(\Delta\nu)$ from
which we have removed the foregrounds using the polynomial fitting (PF) and
Gaussian Process Regression (GPR) methods developed in our earlier work. Using
the residual $C_\ell(\Delta\nu)$ to estimate the mean squared 21-cm brightness
temperature fluctuation $\Delta^2(k)$, we find that this is consistent with $0
\pm 2 \sigma$ in several $k$ bins. The resulting $2\sigma$ upper limit
$\Delta^2(k) < (4.68)^2 \, \rm{mK^2}$ at $k=0.219\,\rm{Mpc^{-1}}$ is nearly
$15$ times tighter than earlier limits obtained from a smaller bandwidth ($24.4
\, {\rm MHz}$) of the same data. The $2\sigma$ upper limit $[\Omega_{{\rm
H\hspace{0.5mm}}{\scriptsize {\rm I}}} b_{{\rm H\hspace{0.5mm}}{\scriptsize
{\rm I}}}] < 1.01 \times 10^{-2}$ is within an order of magnitude of the value
expected from independent estimates of the ${\rm H\hspace{0.5mm}}{\scriptsize
{\rm I}}$ mass density $\Omega_{{\rm H\hspace{0.5mm}}{\scriptsize {\rm I}}}$
and the ${\rm H\hspace{0.5mm}}{\scriptsize {\rm I}}$ bias $b_{{\rm
H\hspace{0.5mm}}{\scriptsize {\rm I}}}$. The techniques used here can be
applied to other telescopes and frequencies, including $\sim 150 \, {\rm MHz}$
Epoch of Reionization observations.
