Szász–Mirakjan–Kantorovich operator

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

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

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

See also

• Szász–Mirakyan operator

References

• Totik, V. (June 1983). "Approximation by Szász–Mirakjan–-Kantorovich operators in L^p (p > 1)" (in ru). Analysis Mathematica 9 (2): 147–167. doi:10.1007/BF01982010.