  Recently, the {\it Belle} and {\it BABAR} Collaborations published the
single-inclusive electron-positron annihilation data at the center of mass
energies ($\sqrt{s}$) of $10.52$ GeV and $10.54$ GeV, respectively. These new
data offer one the possibility to determine the nonperturbative initial
conditions of fragmentation functions much more accurately. In our previous
work \cite{Soleymaninia:2013cxa}, we extracted the fragmentation functions for
$\pi^\pm$ and $K^\pm$ particles at next-to-leading order (NLO) including these
new data, for the first time. These new data are in the regions of larger
scaled-energy $z$ and lower $\sqrt{s}$. Our main purpose is to show that adding
these new data in our analysis how much improve the fragmentation functions of
$\pi^\pm$ and $K^\pm$ at NLO. We hope this analysis can obvious the effects of
these recent data on FFs for whom is studying the behavior of light meson FFs.
We also apply, for the first time, the extracted fragmentation functions to
make our predictions for the scaled-energy distributions of $\pi^\pm$ and
$K^\pm$ inclusively produced in polarized top quark decays at NLO.
