Mathematical Research Data Initiative
Main page
Recent changes
Random page
Help about MediaWiki
Create a new Item
Create a new Property
Create a new EntitySchema
Merge two items
In other projects
Discussion
View source
View history
Purge
English
Log in
Formula
:
215
From MaRDI portal
Jump to:
navigation
,
search
Digital Library of Mathematical Functions ID
1.7.E3
(
β
j
=
1
n
(
a
j
+
b
j
)
p
)
1
/
p
β€
(
β
j
=
1
n
a
j
p
)
1
/
p
+
(
β
j
=
1
n
b
j
p
)
1
/
p
.
superscript
subscript
superscript
π
π
1
superscript
subscript
π
π
subscript
π
π
π
1
π
superscript
subscript
superscript
π
π
1
superscript
subscript
π
π
π
1
π
superscript
subscript
superscript
π
π
1
superscript
subscript
π
π
π
1
π
{\displaystyle{\displaystyle\left(\sum^{n}_{j=1}(a_{j}+b_{j})^{p}\right)^{1/p}% \leq\left(\sum^{n}_{j=1}a_{j}^{p}\right)^{1/p}+\left(\sum^{n}_{j=1}b_{j}^{p}% \right)^{1/p}.}}
Constraint(s)
Symbols List
j
π
{\displaystyle{\displaystyle j}}
: integer
n
π
{\displaystyle{\displaystyle n}}
: nonnegative integer
p
>
1
π
1
{\displaystyle{\displaystyle p>1}}
: > p 1
Resources that cite this formula
No records found.
Tools
What links here
Related changes
Special pages
Printable version
Permanent link
Page information
MaRDI portal item