holder inequality | Hölder's inequality

Keyword	CPC	PCC	Volume	Score	Length of keyword
holder inequality	0.78	0.4	804	38	17
holder	0.5	0.8	196	73	6
inequality	1.37	0.8	6723	45	10

Keyword	CPC	PCC	Volume	Score
holder inequality	1.04	0.1	1802	56
holder inequality proof	1.58	1	678	28
holder inequality equality condition	0.9	0.7	5636	77
holder inequality integral	1.36	0.2	9482	67
holder inequality expectation	0.64	0.5	8217	72
holder inequality p 1	1.04	0.8	910	15
holder inequality for vectors	1.08	0.3	8641	4
holder inequality probability	1.94	0.5	2731	18
holder inequality matrix norm	0.91	0.9	2004	16
holder inequality matrix	0.43	0.5	1120	63
holder inequality and cauchy schwarz	1.95	0.2	2402	30
reverse holder inequality	1.45	0.7	1407	86
generalized holder inequality	1.86	0.6	4773	21
holder inequality for integrals	0.58	0.4	5775	26
weighted holder inequality	0.93	1	4571	8
prove holder inequality	1.77	0.5	7002	47
interpolation inequality holder spaces	0.89	0.7	2560	76

Search Results related to holder inequality on Search Engine

Hölder's inequality - Wikipedia
wikipedia.org

https://en.m.wikipedia.org/wiki/H%C3%B6lder%27s_inequality

WEBIn mathematical analysis, Hölder's inequality, named after Otto Hölder, is a fundamental inequality between integrals and an indispensable tool for the study of L p spaces. Hölder's inequality — Let ( S , Σ, μ ) be a measure space and let p , q ∈ [1, ∞] with 1/ p + 1/ q = 1 .

DA: 69 PA: 76 MOZ Rank: 33

Hölder's Inequalities -- from Wolfram MathWorld
wolfram.com

https://mathworld.wolfram.com/HoeldersInequalities.html

WEB2 days ago · Similarly, Hölder's inequality for sums states that sum_(k=1)^n|a_kb_k|<=(sum_(k=1)^n|a_k|^p)^(1/p)(sum_(k=1)^n|b_k|^q)^(1/q), (4) with …

DA: 70 PA: 76 MOZ Rank: 18

Hölder's Inequality | Brilliant Math & Science Wiki
brilliant.org

https://brilliant.org/wiki/holders-inequality/

WEBHölder's inequality is a statement about sequences that generalizes the Cauchy-Schwarz inequality to multiple sequences and different exponents. Hölder's inequality states that, for sequences ...

DA: 67 PA: 57 MOZ Rank: 41

Young's, Minkowski's, and Holder's inequalities
upenn.edu

https://www2.math.upenn.edu/~brweber/Courses/2011/Math361/Notes/YMandH.pdf

WEBinequality. In particular, if p = 2, then 1 p = p 1 p = 1 2 and we have Cauchy’s inequality: ab 1 2 a2 + 1 2 b2: (4) Normally to use Young’s inequality one chooses a speci c p, and a and b are free-oating quantities. For instance, if p = 5, we get ab 4 5 a5=4 + 1 5 b5: Before proving Young’s inequality, we require a certain fact about the ...

DA: 31 PA: 12 MOZ Rank: 74

The Holder Inequality - Cornell University
cornell.edu

https://pi.math.cornell.edu/~erin/analysis/lectures.pdf

WEBI.1.3. Recap - 3 good ways to prove a functional inequality. To prove a(x) b(x): 1. Use basic calculus on a di erence function: De ne f(x) := a(x) b(x). Use calculus to show f(x) 0 (by computing f0, etc) 2. Use geometry. 3. Exploit another inequality. E.g., for any convex function ’(x), ’((1 )x+ y) (1 )’(x)+ ’(y): Candidates for ’: ex ...

DA: 6 PA: 93 MOZ Rank: 90

Hölder's Inequality - Art of Problem Solving
artofproblemsolving.com

https://artofproblemsolving.com/wiki/index.php/H%C3%B6lder%27s_Inequality

WEBElementary Form. If are nonnegative real numbers and are nonnegative reals with sum of 1, then. Note that with two sequences and , and , this is the elementary form of the Cauchy-Schwarz Inequality . We can state the inequality more concisely thus: Let be several sequences of nonnegative reals, and let be a sequence of nonnegative reals such that .

DA: 41 PA: 91 MOZ Rank: 65

Hölder inequality - Encyclopedia of Mathematics
encyclopediaofmath.org

https://encyclopediaofmath.org/wiki/H%C3%B6lder_inequality

WEBNov 29, 2012 · The following inequality of Hölder is valid: \begin{equation}\label{eq:1} \Bigl|\sum\limits_{s\in S}a_sb_s\Bigr| \leq \Bigl(\sum\limits_{s\in S}|a_s|^p\Bigr)^{\frac1p}\Bigl(\sum\limits_{s\in S}|b_s|^q\Bigr)^{\frac1q}, \end{equation} where $p>1$ and $\frac1p + \frac1q =1$; this inequality becomes an equality if and only if …

DA: 72 PA: 75 MOZ Rank: 50

A BRIEF INTRODUCTION TO THE CAUCHY-SCHWARZ AND …
williams.edu

https://web.williams.edu/Mathematics/lg5/Cauchy-Schwarz.pdf

WEBABSTRACT.The Cauchy-Schwarz inequality is fundamental to many areas of mathematics, physics, engineering, and computer science. We introduce and motivate this inequality, show some applications, and indicate some generalizations, including a simpler form of Holder’s inequality than is usually presented.¨ 1. MOTIVATING CAUCHY-SCHWARZ

DA: 50 PA: 51 MOZ Rank: 40

Hölder's Inequality - ProofWiki
proofwiki.org

https://proofwiki.org/wiki/H%C3%B6lder%27s_Inequality

WEBMay 19, 2023 · Hölder's Inequality for Sums. Let $p, q \in \R_{>0}$ be strictly positive real numbers such that: $\dfrac 1 p + \dfrac 1 q = 1$ Let $\GF \in \set {\R, \C}$, that is, $\GF$ represents the set of either the real numbers or the complex numbers. Formulation $1$ Let $\mathbf x$ and $\mathbf y$ denote the vectors consisting of the sequences:

DA: 52 PA: 30 MOZ Rank: 94

Holder Inequality - an overview | ScienceDirect Topics
sciencedirect.com

https://www.sciencedirect.com/topics/mathematics/holder-inequality

WEBHolder Inequality. The Hölder inequality, the Minkowski inequality, and the arithmetic mean and geometric mean inequality have played dominant roles in the theory of inequalities. From: North-Holland Mathematical Library, 2005. Related terms: Probability Theory; Poincaré Inequality; Convolution; Lim Sup; Minkowski Inequality; Measurable ...

DA: 84 PA: 88 MOZ Rank: 94