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- ...the [[Boole's inequality#Bonferroni inequalities|Boole–Bonferroni–Fréchet inequalities]], and to [[Copula (probability theory)#Fr.C3.A9chet.E2.80.93Hoeffding copu ...gical proposition]]s or [[Event (probability theory)|events]], the Fréchet inequalities are ...16 KB (2,420 words) - 00:14, 28 September 2024
- {{Short description|Class of inequalities}} ...were discovered by other mathematicians before and many variations on such inequalities are known. ...3 KB (492 words) - 04:19, 24 January 2025
- ...rmation theory]]. There are a number of different contexts in which these inequalities appear. ==Entropic inequalities== ...13 KB (1,857 words) - 06:19, 19 November 2024
- In [[mathematics]], the '''QM-AM-GM-HM inequalities''', also known as the '''mean inequality chain''', state the relationship b These inequalities often appear in mathematical competitions and have applications in many fie ...5 KB (735 words) - 15:17, 26 September 2024
- turns the inequalities ({{EquationNote|1}}) and ({{EquationNote|2}}) to equalities. ...ov, R. A. |title=A Counterexample to Khabibullin's Conjecture for Integral Inequalities |journal=Ufa Mathematical Journal |year=2010 |volume=2 |issue=4 |pages=99& ...5 KB (677 words) - 21:00, 12 July 2023
Page text matches
- | title = Inequalities, II (Proc. Second Sympos., U.S. Air Force Acad., Colo., 1967) [[Category:Inequalities]] ...898 bytes (108 words) - 17:00, 15 July 2017
- ...Chernoff bound]]:<ref>{{Cite web |last=Ma |first=Xuezhe |title=Probability Inequalities 10/36-705 Intermediate Statistics Lecture Notes 2 |url=https://www.cs.cmu.e [[Category:Inequalities]] ...1 KB (147 words) - 14:14, 4 January 2025
- [[Ptolemy]] used the first of these inequalities while constructing [[Ptolemy's table of chords|his table of chords]].<ref n The proof is a consequence of the more widely known inequalities ...3 KB (506 words) - 05:30, 11 February 2025
- {{Short description|Class of inequalities}} ...were discovered by other mathematicians before and many variations on such inequalities are known. ...3 KB (492 words) - 04:19, 24 January 2025
- In [[mathematics]], the '''QM-AM-GM-HM inequalities''', also known as the '''mean inequality chain''', state the relationship b These inequalities often appear in mathematical competitions and have applications in many fie ...5 KB (735 words) - 15:17, 26 September 2024
- ...hmetov. Analogues of Khintchine, Marcinkiewicz–Zygmund and Rosenthal inequalities for symmetric statistics. ''Scandinavian Journal of Statistics'', 26(4):621 [[Category:Statistical inequalities]] ...3 KB (460 words) - 18:20, 7 November 2022
- ...arwal R P, Barnett N S, Cerone P and Dragomir S S (2005) "A survey on some inequalities for expectation and variance." ''Computers and mathematics with application == Comparisons to other inequalities == ...4 KB (572 words) - 04:17, 13 March 2024
- In 1948, Wendel proved the inequalities In 1959, Gautschi independently proved two inequalities for ratios of gamma functions. His lower bounds were identical to Wendel's ...6 KB (1,019 words) - 20:40, 1 January 2025
- ...> consist of two closely related [[interpolation inequality|interpolation inequalities]] between the [[Lp space|Lebesgue space]] <math>L^\infty</math> and the [[S ...ath>\Omega\subset\mathbb{R}^3</math>{{vague|date=May 2015}}. Then Agmon's inequalities in 3D state that there exists a constant <math>C</math> such that ...3 KB (353 words) - 17:47, 21 June 2023
- ...com/content/2011/1/130 ''Refinements of Jordan's inequality'']. Journal of Inequalities and Applications 2011, 2011:130, doi:10.1186/1029-242X-2011-130 ...ww.cut-the-knot.org/pythagoras/JordanKober.shtml#book Jordan's and Kober's inequalities] at cut-the-knot.org ...2 KB (309 words) - 20:34, 8 July 2023
- ==Linear inequalities of real numbers== ===Two-dimensional linear inequalities=== ...7 KB (1,101 words) - 03:21, 22 February 2025
- ...ef><ref>[http://www.econ.upf.edu/~lugosi/anu.pdf "Concentration-of-measure inequalities" by Gábor Lugosi]</ref> The inequality states that, for <math>\lambda > 0,< ....<ref>[https://www.jstor.org/stable/3087296 Ghosh, B.K., 2002. Probability inequalities related to Markov's theorem. ''The American Statistician'', 56(3), pp.186-1 ...4 KB (597 words) - 17:48, 9 September 2024
- ...this mean to study other bivariate means and inequalities.<ref>E. Neuman, Inequalities for weighted sums of powers and their applications, ''Math. Inequal. Appl.' ...''J. Math. Inequal.'' 7 (2013), No. 3, 399–412</ref><ref>E. Neuman, Sharp inequalities involving Neuman–Sándor and logarithmic means, ''J. Math. Inequal.'' 7 (201 ...3 KB (512 words) - 10:37, 11 September 2020
- The Besicovitch inequality was used to prove [[systolic geometry|systolic inequalities]] ...} </ref><ref>P. Papasoglu, Cheeger constants of surfaces and isoperimetric inequalities, Trans. Amer. Math. Soc. 361 (2009) 5139–5162.</ref> ...3 KB (350 words) - 03:56, 20 September 2024
- ==Littlewood's inequalities== ===Inequalities=== ...5 KB (748 words) - 09:40, 18 December 2015
- ...qualities for linear [[dispersive partial differential equation]]s. These inequalities establish size and decay of solutions in [[mixed norm]] [[Lp space|Lebesgue [[Category:Inequalities]] ...2 KB (341 words) - 17:27, 21 June 2023
- | title=Some sharp inequalities for Martingale transforms [[Category:Probabilistic inequalities]] ...2 KB (202 words) - 04:45, 13 March 2024
- ...name="spouge">{{Cite journal | last1 = Spouge | first1 = John L. | title = Inequalities on the overshoot beyond a boundary for independent summands with differing ...> and Chang.<ref>{{Cite journal | last1 = Chang | first1 = J. T. | title = Inequalities for the Overshoot | doi = 10.1214/aoap/1177004913 | journal = The Annals of ...3 KB (323 words) - 19:48, 12 August 2023
- ...in <math>t \in \left [ t_0; \alpha \right ]</math>, such as the following inequalities are true: ...нств Чаплыгина. |trans-title=Comparison theorems. Chaplygin's differential inequalities method. |url=http://math.phys.msu.ru/archive/2014_2015/57/Teorema_sravnenia ...8 KB (1,045 words) - 17:14, 9 February 2025
- ...inequality]], both given below. Nonetheless, some important interpolation inequalities involve distinct elements <math>u_0,..,u_n</math>, including [[Hölder's ine ...947|doi-access=free}}</ref> Another class of space admitting interpolation inequalities are the [[Hölder condition#Hölder spaces|Hölder spaces]]. ...7 KB (1,098 words) - 01:14, 27 January 2025