In functional analysis , a discipline within mathematics , the Szász–Mirakjan–Kantorovich operators are defined by
[
T
n
(
f
)
]
(
x
)
=
n
e
−
n
x
∑
k
=
0
∞
(
n
x
)
k
k
!
∫
k
/
n
(
k
+
1
)
/
n
f
(
t
)
d
t
{\displaystyle (x)=ne^{-nx}\sum _{k=0}^{\infty }{{\frac {(nx)^{k}}{k!}}\int _{k/n}^{(k+1)/n}f(t)\,dt}}
where
x
∈
[
0
,
∞
)
⊂
R
{\displaystyle x\in [0,\infty )\subset \mathbb {R} }
n
∈
N
{\displaystyle n\in \mathbb {N} }
See also
Notes
Walczak, Zbigniew (2002). "On approximation by modified Szasz–Mirakyan operators" . Glasnik Matematički . 37 (57): 303–319.
References
Categories :
Szász–Mirakjan–Kantorovich operator
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