Szász–Mirakjan–Kantorovich operator

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

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

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

See also

• Szász–Mirakyan operator

References

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