असमताओं की सूची
 | इस लेख में सन्दर्भ या स्रोत नहीं दिया गया है। कृपया विश्वसनीय सन्दर्भ या स्रोत जोड़कर इस लेख में सुधार करें। स्रोतहीन सामग्री ज्ञानकोश के लिए उपयुक्त नहीं है। इसे हटाया जा सकता है। (सितंबर 2014) स्रोत खोजें: "असमताओं की सूची" – समाचार · अखबार पुरालेख · किताबें · विद्वान · जेस्टोर (JSTOR) |
इस पृष्ठ पर ऐसी गणितीय असमिकाओं की सूची दी गयी है जिन पर विकिपीडिया पर लेख हैं।
शुद्ध गणित की असमिकाएँ (Inequalities in pure mathematics)
[संपादित करें]गणितीय विश्लेषण (Mathematical analysis)
[संपादित करें]- Agmon's inequality
- Askey–Gasper inequality
- बर्नौली की असमिका (Bernoulli's inequality)
- Bernstein's inequality (mathematical analysis)
- Bessel's inequality
- Borell–Brascamp–Lieb inequality
- Carleman's inequality
- Chebyshev–Markov–Stieltjes inequalities
- Chebyshev's sum inequality
- Clarkson's inequalities
- Fenchel's inequality
- Friedrichs' inequality
- Gårding's inequality
- Grothendieck inequality
- Hanner's inequalities
- Hardy's inequality
- Harnack's inequality
- Hermite–Hadamard inequality
- Hölder's inequality
- Jackson's inequality
- Jensen's inequality
- Kantorovich inequality
- Korn's inequality
- Landau-Kolmogorov inequality
- Lebedev–Milin inequality
- Markov brothers' inequality
- Minkowski's inequality
- Obert's inequality
- Poincaré inequality
- Popoviciu's inequality
- Prékopa–Leindler inequality
- Remez inequality
- Shapiro inequality
- Sobolev inequality
- Steffensen's inequality
- Trudinger's theorem
- Turán's inequalities
- Von Neumann's inequality
- Wirtinger's inequality for functions
माध्यों से सम्बन्धित असमिकाएँ
[संपादित करें]- Inequality of arithmetic and geometric means
- Ky Fan inequality
- Maclaurin's inequality
- Mahler's inequality
- Muirhead's inequality
- Newton's inequalities
- Young's inequality
क्रमचय-संचय (Combinatorics)
[संपादित करें]- Fishburn–Shepp inequality
- Fisher's inequality
- Lubell–Yamamoto–Meshalkin inequality
- Nesbitt's inequality
- Rearrangement inequality
- Schur's inequality
अवकल समीकरण (Differential equations)
[संपादित करें]ज्यामिति (Geometry)
[संपादित करें]- Barrow's inequality
- Berger–Kazdan comparison theorem
- Bishop-Gromov inequality
- Bogomolov–Miyaoka–Yau inequality
- Brascamp–Lieb inequality
- Brunn–Minkowski inequality
- Cheng's eigenvalue comparison theorem
- Clifford's theorem on special divisors
- Erdős–Mordell inequality
- Euler's theorem in geometry
- Gromov's inequality for complex projective space
- Gromov's systolic inequality for essential manifolds
- Hadamard's inequality
- Hadwiger–Finsler inequality
- Hitchin–Thorpe inequality
- Isoperimetric inequality
- Jordan's inequality
- Jung's theorem
- Loewner's torus inequality
- Łojasiewicz inequality
- Loomis–Whitney inequality
- Milman's reverse Brunn–Minkowski inequality
- Minkowski's first inequality for convex bodies
- Myers's theorem
- Noether inequality
- Ono's inequality
- Pedoe's inequality
- Ptolemy's inequality
- Pu's inequality
- Riemannian Penrose inequality
- Toponogov's theorem
- Triangle inequality
- Weitzenböck's inequality
- Wirtinger inequality (2-forms)
सूचना सिद्धान्त (Information theory)
[संपादित करें]रैखिक बीजगणित (Linear algebra)
[संपादित करें]- Abel's inequality
- Cauchy-Schwarz inequality
- Golden-Thompson inequality
- Peetre's inequality
- Triangle inequality
- Weyl's inequality
संख्या सिद्धान्त (Number theory)
[संपादित करें]- Bonse's inequality
- Large sieve inequality
- Pólya-Vinogradov inequality
- Turán–Kubilius inequality
- Weyl's inequality
प्रायिकता (Probability)
[संपादित करें]- Azuma's inequality
- Bhatia–Davis inequality
- Bernstein inequalities (probability theory)
- Boole's inequality
- Chebyshev's inequality
- Chernoff's inequality
- Cramér–Rao inequality
- Doob's martingale inequality
- Dvoretzky–Kiefer–Wolfowitz inequality
- Entropy power inequality
- Etemadi's inequality
- Fano's inequality
- Gauss's inequality
- Gaussian isoperimetric inequality
- Gibbs' inequality
- Hoeffding's inequality
- Khintchine inequality
- Kolmogorov's inequality
- Le Cam's theorem
- Marcinkiewicz–Zygmund inequality
- Markov's inequality
- McDiarmid's inequality
- Paley–Zygmund inequality
- Pinsker's inequality
- Popoviciu's inequality on variances
- Samuelson's inequality
- Vitale's random Brunn–Minkowski inequality
- Vysochanskiï–Petunin inequality
टोपोलोजी (Topology)
[संपादित करें]भौतिकी सम्बन्धी असमिकाएँ
[संपादित करें]- Ahlswede–Daykin inequality
- Bell's inequality — see Bell's theorem
- CHSH inequality
- FKG inequality
- Heisenberg's inequality
- Holley inequality
- Leggett–Garg inequality
- Riemannian Penrose inequality
- Rushbrooke inequality
- Tsirelson's inequality
इन्हें भी देखें
[संपादित करें]- तुलना का प्रमेय (Comparison theorem)