Szász–Mirakjan–Kantorovich operator

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

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

where $x\in[0,\infty)\subset\mathbb{R}$ and $n\in\mathbb{N}$.^[1]

See also

• Szász–Mirakyan operator

Notes

1. Walczak, Zbigniew (2002). "On approximation by modified Szasz–Mirakyan operators". Glasnik Matematički 37 (57): 303–319.

References

• Totik, V. (June 1983). "Approximation by Szász–Mirakjan–-Kantorovich operators in L^p (p > 1)". Analysis Mathematica (in Russian) 9 (2): 147–167. doi:10.1007/BF01982010. MR 85h:41053. Zbl 0513.41012.