Shamin is mixed Arabic-Persian name made up of Sham (smell, scent) from Arabic and -in ("full of", "having the quality of", a Persian extension similar to "y" in English in words like lovely, dusty). The full meaning is "having an extremely good scent", you can use it describe a flower or a perfume. It is a non-Quranic name since Sham doesn't come from a Quranic root.
Shamin is pronounced as (SH)ape + r(U)n + (MEAN)ing. You may also see it spelled as Shameen, Shemeen, Shameene, Shamein, Shameyne.