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:214

From MaRDI portal
Jump to:navigation, search

Digital Library of Mathematical Functions ID 1.7.E2

∑ j = 1 n a j ⁢ b j ≤ ( ∑ j = 1 n a j p ) 1 / p ⁢ ( ∑ j = 1 n b j q ) 1 / q . subscript superscript 𝑛 𝑗 1 subscript 𝑎 𝑗 subscript 𝑏 𝑗 superscript subscript superscript 𝑛 𝑗 1 superscript subscript 𝑎 𝑗 𝑝 1 𝑝 superscript subscript superscript 𝑛 𝑗 1 superscript subscript 𝑏 𝑗 𝑞 1 𝑞 {\displaystyle{\displaystyle\sum^{n}_{j=1}a_{j}b_{j}\leq\left(\sum^{n}_{j=1}a_% {j}^{p}\right)^{1/p}\left(\sum^{n}_{j=1}b_{j}^{q}\right)^{1/q}.}}


Constraint(s)

Symbols List

  • j 𝑗 {\displaystyle{\displaystyle j}} : integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • q 𝑞 {\displaystyle{\displaystyle q}} : number
  • p > 1 𝑝 1 {\displaystyle{\displaystyle p>1}} : > p 1
  •  Edit this on Wikidata

Resources that cite this formula

No records found.

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Formula:214&oldid=11930516"
Tools
What links here
Related changes
Special pages
Printable version
Permanent link
Page information
MaRDI portal item
This page was last edited on 28 January 2024, at 10:30.
Privacy policy
About MaRDI portal
Disclaimers
Imprint
Powered by MediaWiki