### Otto Hölder (18591937)BiographyMacTutor History

2011-8-29 · Biography Otto Hölder worked on the convergence of Fourier series and in 1884 he discovered the inequality now named after him. He became interested in group theory through Kronecker and Klein and proved the uniqueness of the factor groups in a composition series. His father was Otto Hölder (1811-1890) professor of French at the Polytechnikum in Stuttgart the son of Christian

### Hölder s inequalityHandWiki

2021-6-30 · In 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. Theorem (Hölder s inequality). Let (S Σ μ) be a measure space and let p q ∈ 1 ∞) with 1/p 1/q = 1. Then for all measurable real- or complex-valued functions

### Hölder s Inequality Brilliant Math Science Wiki

Hölder s inequality is often used to deal with square (or higher-power) roots of expressions in inequalities since those can be eliminated through successive multiplication. Here is an example Let. a b c. a b c a b c be positive reals satisfying. a b c = 3. a b c=3 a b c = 3.

### Bounding the Partition Function using Hölder s Inequality

2019-1-10 · Bounding the Partition Function using H older s Inequality where the sum and max in the bounds are performed for each value of (x 2x 3) and x 4 separately having com- plexity only O(d3).For more than two mini-buckets

### almost stochastic Young s Hölder s and Minkowski s

2013-11-14 · Then we prove Minkowski s inequality by using Hölder. Theorem 1. (Young s Inequality) For every x y ≥ 0 and p > 0 xy ≤ xp p yq q where p − 1 q − 1 = 1. Proof. Put t = 1 / p and 1 − t = 1 / q. Then by Jensen s inequality (since log is concave) log(txp (1 − t)yq) ≥ tlog(xp) (1 − t)log(yq) = log(xtp) log(y ( 1 − t) q

### Hölder s identity — Princeton University

N2We clarify that Hölder s inequality can be stated more generally than is often realized. This is an immediate consequence of an analogous information-theoretic identity which we call Hölder s identity. We also explain Andrew R. Barron s original use of the identity.

### Hölder-type inequalities and their applications to

2021-7-4 · Hölder-type inequalities and their applications to concentration and correlation bounds Christos Pelekis Jan Ramon Yuyi Wang To cite this version Christos Pelekis Jan Ramon Yuyi Wang. Hölder-type inequalities and their applications to con- is based on Fubini s theorem and Holder s inequality. Alternatively see 17 for a proof¨

### Sharpening Hölder s inequalityKTH

2018-2-5 · Sharpening Hölder s inequality Author H. Hedenmalm (joint work with D. Stolyarov V. Vasyunin P. Zatitskiy) Created Date 2/5/2018 1 38 43 PM

### Otto Hölder (18591937)BiographyMacTutor History

2011-8-29 · Biography Otto Hölder worked on the convergence of Fourier series and in 1884 he discovered the inequality now named after him. He became interested in group theory through Kronecker and Klein and proved the uniqueness of the factor groups in a composition series. His father was Otto Hölder (1811-1890) professor of French at the Polytechnikum in Stuttgart the son of Christian

### Hölder s inequality in nLab

2018-4-5 · Proof of Hölder s inequality 0.4. The proof is remarkably simple. First if p q > 0 and 1 p 1 q = 1 then we have Young s inequality viz. for a b > 0. with equality precisely when ap = bq. This is quickly derived from the (strict) convexity of the exponential function that 0 ≤ t

### Hölder inequalityEncyclopedia of Mathematics

2012-11-29 · Hölder inequality. The Hölder inequality for sums. Let a s and b s be certain sets of complex numbers s ∈ S where S is a finite or an infinite set of indices. The following inequality of Hölder is valid ( a s b s) and C are independent of s ∈ S. In the limit case when p = 1 q = ∞ Hölder s inequality has the form.

### Ele-MathKeyword page Hölder inequality

Articles containing keyword "Hölder inequality" MIA-01-01 » Hölder type inequalities for matrices (01/1998) MIA-01-05 » Why Hölder s inequality should be called Rogers inequality (01/1998) MIA-01-37 » Some new Opial-type inequalities (07/1998) MIA-02-02 » A note on some classes of Fourier coefficients (01/1999) MIA-03-37 » Generalization theorem on convergence and integrability for

### matricesGeneralized Hölder s inequality for operator

2021-6-4 · Generalized Hölder s inequality for operator (subordinate) norms. While perusing the Matrix norms section of Wikipedia I came across this generalized version of Holder s inequality. where ‖A‖p = max ‖ x ‖p = 1‖Ax‖p is the subordinate norm. I tried looking up the references mentioned in the wiki page but couldn t find anything

### Optimal Hölder continuity and dimension properties for

2019-2-7 · Theorem1.2 An sssi SLEκ curve is a.s. locally Hölder continuous of any order less than 1/d. The following theorem resembles Mckean s dimension theorem for Brownian motion 20 . We use dimH to denote the Hausdorff dimension. It is closely related to

### On Subdividing of Hölder s Inequality Semantic Scholar

Corpus ID 125594953. On Subdividing of Hölder s Inequality inproceedings Cheung2012OnSO title= On Subdividing of H "o lder s Inequality author= Ws Cheung and C. Zhao year= 2012

### On Subdividing of Hölder s Inequality for Sums

A Subdividing of Local Fractional Integral Holder s Inequality on Fractal Space p.976. An Improvement of Local Fractional Integral Minkowski s Inequality on Fractal Space 10 W. Yang A functional generalization of diamond-α integral Hölder s inequality on time

### Hölder continuity of the solutions for a class of

2021-5-28 · Hölder continuity for the solutions to a class of nonlinear SPDE s 31 We denote by δ the adjoint operator of D which is unbounded from a domain in L2( H) to L2() particular if u ∈ Dom(δ) then δ(u) is characterized by the following duality relation E(δ(u)F) = E( DF u H) for any F ∈ D1 2. The operator δis called the divergence operator. The following two lemmas are from

### Bounding the Partition Function using Hölder s Inequality

2019-1-10 · Bounding the Partition Function using H older s Inequality where the sum and max in the bounds are performed for each value of (x 2x 3) and x 4 separately having com- plexity only O(d3).For more than two mini-buckets

### Bounding the Partition Function using Hölder s Inequality

2019-1-10 · Bounding the Partition Function using H older s Inequality where the sum and max in the bounds are performed for each value of (x 2x 3) and x 4 separately having com- plexity only O(d3).For more than two mini-buckets

### frac 1 p frac 1 q frac 1 r =1 then Holder s

2016-5-27 · Stack Exchange network consists of 177 Q A communities including Stack Overflow the largest most trusted online community for developers to learn share their knowledge and build their careers.. Visit Stack Exchange

### matricesGeneralized Hölder s inequality for operator

2021-6-4 · Generalized Hölder s inequality for operator (subordinate) norms. While perusing the Matrix norms section of Wikipedia I came across this generalized version of Holder s inequality. where ‖A‖p = max ‖ x ‖p = 1‖Ax‖p is the subordinate norm. I tried looking up the references mentioned in the wiki page but couldn t find anything

### Ele-MathKeyword page Hölder inequality

Articles containing keyword "Hölder inequality" MIA-01-01 » Hölder type inequalities for matrices (01/1998) MIA-01-05 » Why Hölder s inequality should be called Rogers inequality (01/1998) MIA-01-37 » Some new Opial-type inequalities (07/1998) MIA-02-02 » A note on some classes of Fourier coefficients (01/1999) MIA-03-37 » Generalization theorem on convergence and integrability for

### Hölder s identity — Princeton University

N2We clarify that Hölder s inequality can be stated more generally than is often realized. This is an immediate consequence of an analogous information-theoretic identity which we call Hölder s identity. We also explain Andrew R. Barron s original use of the identity.

### Hölder inequalityEncyclopedia of Mathematics

2012-11-29 · Hölder inequality. The Hölder inequality for sums. Let a s and b s be certain sets of complex numbers s ∈ S where S is a finite or an infinite set of indices. The following inequality of Hölder is valid ( a s b s) and C are independent of s ∈ S. In the limit case when p = 1 q = ∞ Hölder s inequality has the form.

### Otto Hölder (18591937)BiographyMacTutor History

2011-8-29 · Biography Otto Hölder worked on the convergence of Fourier series and in 1884 he discovered the inequality now named after him. He became interested in group theory through Kronecker and Klein and proved the uniqueness of the factor groups in a composition series. His father was Otto Hölder (1811-1890) professor of French at the Polytechnikum in Stuttgart the son of Christian

### frac 1 p frac 1 q frac 1 r =1 then Holder s

2016-5-27 · Stack Exchange network consists of 177 Q A communities including Stack Overflow the largest most trusted online community for developers to learn share their knowledge and build their careers.. Visit Stack Exchange

### Hölder spaceEncyclopedia of Mathematics

2020-6-5 · Hölder space. A Banach space of bounded continuous functions f ( x) = f ( x 1 x n) defined on a set E of an ndimensional Euclidean space and satisfying a Hölder condition on E . The Hölder space C m ( E) where m ≥ 0 is an integer consists of the functions that are m times continuously differentiable on E ( continuous for m = 0 ).

### A Class of Generalizations of Hölder s Inequality

by Holder (1889). In the same 1906 paper Jensen uses this Holder-Jensen inequality for convex functions to derive in explicit form the second basic result only implicit in Holder (1889) namely the "Holder s inequality" bounding the inner products of vectors in terms of their norms.