Szász–Mirakjan–Kantorovich operator

In functional analysis, a discipline within mathematics, the Szász–Mirakjan–Kantorovich operators are defined by

${\displaystyle [{\mathcal {T}}_{n}(f)](x)=ne^{-nx}\sum _{k=0}^{\infty }{{\frac {(nx)^{k}}{k!}}\int _{k/n}^{(k+1)/n}f(t)\,dt}}$

where ${\displaystyle x\in [0,\infty )\subset \mathbb {R} }$ and ${\displaystyle n\in \mathbb {N} }$.