info@mathlexicon.uz
QR, Nókis qalası, Ch.Abdirov kóshesi 1-úy
PlayMarket
MathLexicon
BAS MENYU
TERMINLER
BELGILEWLER
ALÍMLAR
JOYBAR HAQQÍNDA
KIRIW
Menu
Bas menyu
«D» kategoriya
DARBU QOSÍNDÍLARÍ
DARBU QOSÍNDÍLARÍ
[eng: Darboux sums, рус: суммы Дарбу]
50
30.10.2024 14:20
DARBU QOSÍNDÍLARÍ
[en: Darboux sums, ru: суммы Дарбу]
–
f
(
x
)
f(x)
f
(
x
)
funkciyası ushın Riman integralınıń bar bolıwın hám onıń qásiyetlerin dálillewde paydalanatuǵın
s
=
∑
k
=
1
n
m
k
Δ
x
k
h
a
ˊ
m
S
=
∑
k
=
1
n
M
k
Δ
x
k
s=\sum\limits_{k=1}^{n} m_k \Delta x_k \ \ \text{hám} \ \ S=\sum\limits_{k=1}^n M_k \Delta x_k
s
=
k
=
1
∑
n
m
k
Δ
x
k
h
a
ˊ
m
S
=
k
=
1
∑
n
M
k
Δ
x
k
kórinisindegi qosındılar, bunda
a
=
x
0
<
x
1
<
…
<
x
n
=
b
a=x_0<x_1<\ldots<x_n=b
a
=
x
0
<
x
1
<
…
<
x
n
=
b
,
Δ
x
k
=
x
k
−
x
k
−
1
\Delta x_k=x_k-x_{k-1}
Δ
x
k
=
x
k
−
x
k
−
1
,
m
k
=
inf
x
∈
[
x
k
−
1
,
x
k
]
f
(
x
)
m_k=\underset{x\in[x_{k-1}, x_k]}{\inf}f(x)
m
k
=
x
∈
[
x
k
−
1
,
x
k
]
in
f
f
(
x
)
,
M
k
=
sup
x
∈
[
x
k
−
1
,
x
k
]
f
(
x
)
M_k=\underset{x\in[x_{k-1}, x_k]}{\sup}f(x)
M
k
=
x
∈
[
x
k
−
1
,
x
k
]
sup
f
(
x
)
.