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- {{Short description|Inequality which involves a linear function}} ...a [[linear function]]. A linear inequality contains one of the symbols of inequality:<ref>{{harvnb|Miller|Heeren|1986|loc=p. 355}}</ref> ...7 KB (1,101 words) - 03:21, 22 February 2025
- ...conjecture of [[John Ringrose]]. It is an extension of the [[Grothendieck inequality]]. *[[Haagerup-Pisier inequality]] ...2 KB (235 words) - 09:24, 18 August 2023
- The '''Bohr–Favard inequality''' is an inequality appearing in a problem of [[Harald Bohr]]<ref name="bohr1935theoreme">{{Cit ...of the integral of an almost-periodic function. The ultimate form of this inequality was given by [[Jean Favard]];<ref name="favard1937meilleurs">{{Cite journal ...2 KB (334 words) - 09:02, 3 August 2023
- ...2006 |chapter=The Clausius–Duhem Inequality, an Interesting and Productive Inequality |title=Nonsmooth Mechanics and Analysis |series=Advances in mechanics and m This inequality is a statement concerning the irreversibility of natural processes, especia ...10 KB (1,470 words) - 02:41, 29 October 2023
- ...'Kunita–Watanabe inequality''' is a generalization of the [[Cauchy–Schwarz inequality]] to integrals of [[stochastic processes]]. ...2 KB (210 words) - 10:01, 3 April 2023
- In mathematics, the '''Bhatia–Davis inequality''', named after [[Rajendra Bhatia]] and [[Chandler Davis]], is an [[upper b Then the Bhatia–Davis inequality states: ...4 KB (572 words) - 04:17, 13 March 2024
- In [[Mathematics]], the '''Mashreghi–Ransford inequality''' is a bound on the growth rate of certain [[sequences]]. It is named aft {{DEFAULTSORT:Mashreghi-Ransford inequality}} ...2 KB (269 words) - 09:41, 3 January 2023
- ...happening simultaneously by their pairwise dependence. Informally Janson's inequality involves taking a sample of many independent random [[binary data|binary va Then the Janson inequality is: ...4 KB (588 words) - 12:42, 3 December 2024
- ...arvtxt|Kallman|Rota|1970}}, is a generalization of the [[Landau–Kolmogorov inequality]] to [[Banach spaces]]. It states that | contribution = On the inequality <math>\Vert f^{\prime} \Vert^{2}\leqq4\Vert f\Vert\cdot\Vert f''\Vert</math ...898 bytes (108 words) - 17:00, 15 July 2017
- In [[mathematics]], the '''Whitney inequality''' gives an upper bound for the error of best approximation of a function b ...>W(k)</math> is the smallest value of <math>W_k</math> for which the above inequality holds. The theorem is particularly useful when applied on intervals of smal ...6 KB (1,060 words) - 01:18, 12 January 2025
- In [[differential geometry]] the '''Hitchin–Thorpe inequality''' is a relation which restricts the topology of [[4-manifold]]s that carry == Statement of the Hitchin–Thorpe inequality == ...6 KB (847 words) - 18:47, 29 January 2024
- ...3}} as a combination of work of [[Arnaud Denjoy]] and the [[Koksma–Hlawka inequality]] of [[Jurjen Ferdinand Koksma]], is a bound for [[Weyl sum]]s <math>\sum_{ {{DEFAULTSORT:Denjoy-Koksma inequality}} ...2 KB (232 words) - 17:27, 6 April 2023
- ...volume of a set and distances between certain subsets of its boundary. The inequality was first formulated by [[Abram Besicovitch]].<ref>A. S. Besicovitch, On tw denote the distance between opposite faces of the cube. The Besicovitch inequality asserts that ...3 KB (350 words) - 03:56, 20 September 2024
- The '''Hausdorff−Young inequality''' is a foundational result in the mathematical field of [[Fourier analysis The nature of the Hausdorff-Young inequality can be understood with only Riemann integration and infinite series as prer ...13 KB (2,038 words) - 19:01, 17 February 2025
- {{short description|Correlation inequality}} ...the '''Fortuin–Kasteleyn–Ginibre (FKG) inequality''' is a [[correlation]] inequality, a fundamental tool in [[statistical mechanics]] and [[Combinatorics#Probab ...16 KB (2,474 words) - 09:55, 24 February 2025
- ...an]].<ref name="schrijver" /><ref name="radhakrishnan" /> The Bregman–Minc inequality is used, for example, in [[graph theory]] to obtain upper bounds for the nu ...x. Since the permanent is invariant under [[transpose|transposition]], the inequality also holds for the column sums of the matrix accordingly.<ref name="minc" / ...6 KB (956 words) - 20:31, 29 January 2023
- The '''Turán–Kubilius inequality''' is a [[mathematical theorem]] in [[probabilistic number theory]]. It is [[Pál Turán|Turán]] developed the inequality to create a simpler proof of the [[Hardy–Ramanujan theorem]] about the [[no ...3 KB (477 words) - 16:58, 17 June 2024
- ...sed access}}</ref> named after [[Haïm Brezis]] and Thierry Gallouët, is an inequality valid in 2 spatial dimensions. It shows that a function of two variables ...r boundary, or <math>\mathbb{R}^2</math> itself. Then the Brezis–Gallouët inequality states that there exists a real <math>C</math> only depending on <math>\Ome ...5 KB (705 words) - 14:53, 3 March 2023
- {{short description|Correlation-type inequality for four functions on a finite distributive lattice}} ...swede|Daykin|1978}}, also known as the '''four functions theorem''' (or '''inequality'''), ...3 KB (396 words) - 17:04, 16 August 2023
- In [[real algebraic geometry]], the ''' Łojasiewicz inequality''', named after [[Stanisław Łojasiewicz]], gives an upper bound for the dis The following form of this inequality is often seen in more analytic contexts: with the same assumptions on ''f' ...18 KB (2,927 words) - 17:42, 6 November 2024
Page text matches
- ...arvtxt|Kallman|Rota|1970}}, is a generalization of the [[Landau–Kolmogorov inequality]] to [[Banach spaces]]. It states that | contribution = On the inequality <math>\Vert f^{\prime} \Vert^{2}\leqq4\Vert f\Vert\cdot\Vert f''\Vert</math ...898 bytes (108 words) - 17:00, 15 July 2017
- ...n the domain must actually be a ball. In the case of <math>n=2</math>, the inequality essentially states that among all drums of equal area, the circular drum (u ...equality holds in any [[Riemannian manifold]] in which the [[isoperimetric inequality]] holds.<ref>{{Cite book|url=http://worldcat.org/oclc/1106800772|title=Eige ...2 KB (249 words) - 17:53, 22 December 2024
- ...lts that share the common name of the '''Ky Fan inequality'''. The Ky Fan inequality presented here is used in [[game theory]] to investigate the existence of a Another [[Ky Fan inequality]] is an [[inequality (mathematics)|inequality]] involving the [[geometric mean]] and [[arithmetic mean]] of two sets of [ ...1 KB (185 words) - 19:10, 5 July 2022
- {{Short description|Probabilistic inequality}} ...[supermartingale]] exceeds a certain value. The [[inequality (mathematics)|inequality]] is named after [[Jean Ville]], who proved it in 1939.<ref>{{cite thesis ...2 KB (202 words) - 04:45, 13 March 2024
- {{distinguish|Hadamard's inequality}} ...Hermite]] and [[Jacques Hadamard]] and sometimes also called '''Hadamard's inequality''', states that if a function ''f'' : [''a'', ''b''] →& ...2 KB (276 words) - 23:07, 6 February 2025
- {{Short description|Inequality for the number of extensions of partial orders to linear orders}} ...for the number of [[linear extension]]s of finite [[partial order]]s. The inequality was conjectured by [[Ivan Rival]] and Bill Sands in 1981. It was proved by ...2 KB (297 words) - 20:39, 19 March 2023
- '''Aristarchus's inequality''' (after the Greek [[Ancient Greek astronomy|astronomer]] and [[Greek math === Proof of the first inequality === ...3 KB (506 words) - 05:30, 11 February 2025
- In [[mathematics]], '''Mahler's inequality''', named after [[Kurt Mahler]], states that the [[geometric mean]] of the By the [[inequality of arithmetic and geometric means]], we have: ...1 KB (208 words) - 05:09, 16 October 2022
- In mathematics, the '''Fekete–Szegő inequality''' is an inequality for the coefficients of [[univalent function|univalent]] [[analytic functio The Fekete–Szegő inequality states that if ...1 KB (151 words) - 03:44, 17 April 2024
- [[File:Jordan inequality.svg|thumb|upright=1.2|<math>\frac{2}{\pi}x\leq \sin(x) \leq x\text{ for }x [[File:Jordans inequality.svg|thumb|upright=1.2|[[unit circle]] with angle x and a second circle with ...2 KB (309 words) - 20:34, 8 July 2023
- ...he [[Weyl equidistribution estimate]]. Loosely stated, the van der Corput inequality asserts that if a [[unit vector]] <math>v</math> in an [[inner product spac ==Statement of the inequality== ...3 KB (535 words) - 10:36, 18 March 2021
- ...conjecture of [[John Ringrose]]. It is an extension of the [[Grothendieck inequality]]. *[[Haagerup-Pisier inequality]] ...2 KB (235 words) - 09:24, 18 August 2023
- '''Abhyankar's inequality''' is an inequality involving extensions of [[valued field]]s in [[algebra]], introduced by {{h Abhyankar's inequality states that for an extension ''K''/''k'' of [[valued field]]s, the [[transc ...1,009 bytes (128 words) - 19:50, 12 September 2024
- ...anu.pdf "Concentration-of-measure inequalities" by Gábor Lugosi]</ref> The inequality states that, for <math>\lambda > 0,</math> Applying the Cantelli inequality to <math>-X</math> gives a bound on the lower tail, ...4 KB (597 words) - 17:48, 9 September 2024
- ...equality]]. It is an important lemma in the proof of the [[Plünnecke-Ruzsa inequality]]. <!-- The referenced article on the Plünnecke-Ruzsa inequality is currently a draft and has been submitted concurrently with this one. --> ...5 KB (944 words) - 18:29, 8 December 2024
- The '''Bohr–Favard inequality''' is an inequality appearing in a problem of [[Harald Bohr]]<ref name="bohr1935theoreme">{{Cit ...of the integral of an almost-periodic function. The ultimate form of this inequality was given by [[Jean Favard]];<ref name="favard1937meilleurs">{{Cite journal ...2 KB (334 words) - 09:02, 3 August 2023
- {{short description|Correlation-type inequality for four functions on a finite distributive lattice}} ...swede|Daykin|1978}}, also known as the '''four functions theorem''' (or '''inequality'''), ...3 KB (396 words) - 17:04, 16 August 2023
- ...anonical [[Gaussian measure]]. It generalizes the [[Gaussian isoperimetric inequality]]. ...quality on the discrete cube, and an elementary proof of the isoperimetric inequality in Gauss space|volume=25|journal=The Annals of Probability|number=1|publish ...3 KB (367 words) - 20:31, 3 February 2024
- In [[mathematics]], the '''three spheres inequality''' bounds the <math>L^2</math> norm of a [[harmonic function]] on a given [ == Statement of the three spheres inequality == ...1 KB (203 words) - 09:19, 5 February 2024
- In [[mathematical analysis]], the '''Young's inequality for integral operators''', is a bound on the <math>L^p\to L^q</math> [[oper ...y) = h (x - y) </math>, then the inequality becomes [[Young's convolution inequality]]. ...1 KB (228 words) - 01:39, 29 February 2020