10044
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Young's Inequality
Given positive numbers
and
whose reciprocals add up to one, the product
of two positive real numbers
and
is less than or equal to a weighted sum of
and
powers of
and
.
Contributed by:
Ken Levasseur
(UMass Lowell)
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
References
[1] R. B. Nelson,
Proofs without Words II, More Exercises in Visual Thinking,
Washington, DC: Mathematical Association of America, 2000.
[2] W. H. Young, "On Classes of Summable Functions and Their Fourier Series,"
Proceedings of the Royal Society A
,
87
, 1912 pp. 225–229.
PERMANENT CITATION
Ken Levasseur
"
Young's Inequality
"
http://demonstrations.wolfram.com/YoungsInequality/
Wolfram Demonstrations Project
Published: December 9, 2013
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Bernoulli Inequality
Chris Boucher
Napier's Inequality (II)
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Napier's Inequality (I)
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
The Triangle Inequality
Chris Boucher
The Arithmetic-Logarithmic-Geometric Mean Inequality
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Chebyshev's Inequality
Craig Bauling
Weitzenböck's Inequality
Jay Warendorff
Hadwiger-Finsler Inequality
Jay Warendorff
The Binomial Inequality
Chris Boucher
The Erdös-Mordell Inequality
Jay Warendorff
Related Topics
Calculus
Inequalities
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+