Mathematical Inequalities and Applications
Mathematical Inequalities and Applications is a research topic within Applied Mathematics. Science Explorer counts 8.9k research works in it since 1950. 16.1% of them reached the world's top 10% most cited for their field and year.
This cluster of papers explores matrix inequalities, geometric means, fractional integrals, Hermite-Hadamard inequalities, convex functions, Riemannian geometry, quantum calculus, complete monotonicity, operator inequalities, and the gamma function.
- Matrix Inequalities
- Geometric Means
- Fractional Integrals
- Hermite-Hadamard Inequalities
- Convex Functions
- Riemannian Geometry
- Quantum Calculus
- Complete Monotonicity
- Operator Inequalities
- Gamma Function
- Research works
- 8.9k fractional, since 1950
- In the world top 10%
- 1.4k per year above
- Top-10% rate
- 16.1% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- +32% the tick is no change
Which countries lead Mathematical Inequalities and Applications research?
By volume, China and Türkiye publish the most (230 and 151 works in 2022–2025).
By volume, 2022–2025
- 1 China 230 works
- 2 Türkiye 151 works
- 3 India 143 works
- 4 Pakistan 124 works
- 5 Saudi Arabia 93 works
- 6 United States 83 works
- 7 Iran 55 works
- 8 Jordan 55 works
- 9 Romania 41 works
- 10 France 38 works
How concentrated that is
The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.
Shares of the rows listed above, not of the whole node.
Which institutions lead Mathematical Inequalities and Applications research?
By volume in 2022–2025, Düzce Üniversitesi publishes the most Mathematical Inequalities and Applications research, followed by COMSATS University Islamabad and Victoria University.
By volume, 2022–2025
- 1 Düzce ÜniversitesiTürkiye 48 works
- 2 COMSATS University IslamabadPakistan 32 works
- 3 Victoria UniversityAustralia 17 works
- 4 Université de Caen NormandieFrance 16 works
- 5 King Saud UniversitySaudi Arabia 15 works
- 6 University of ZagrebCroatia 15 works
- 7 University of SargodhaPakistan 14 works
- 8 University of JordanJordan 13 works
- 9 China Three Gorges UniversityChina 12 works
- 10 University of GuelmaAlgeria 11 works
Who are the leading researchers in Mathematical Inequalities and Applications?
The most-cited researchers publishing on Mathematical Inequalities and Applications include Dumitru Bǎleanu and Ingram Olkin.
- 1 Dumitru Bǎleanu Türkiye 2.2k citations
- 2 Ingram Olkin United States 2k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Mathematical Inequalities and Applications research done?
The largest centres of Mathematical Inequalities and Applications research in 2022–2025 are Düzce (Türkiye), Islamabad (Pakistan), Riyadh (Saudi Arabia) and Amman (Jordan). Among places with at least 20 works in it, it is an unusually large share of all research in Düzce and Caen.
Largest cities, 2022–2025
Where it is the local speciality
- DüzceTR · 47.9 works191×
- CaenFR · 21.4 works51×
Location quotient: how much more of its research is in Mathematical Inequalities and Applications than the world average.
Where is the best place to study Mathematical Inequalities and Applications?
Among universities, judged by research, COMSATS University Islamabad, Düzce Üniversitesi and China Three Gorges University score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.
One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.
| # | University | Score | Top 10% | Specialisation | Works | Growth |
|---|---|---|---|---|---|---|
| 1 | COMSATS University IslamabadPakistan | 56.6 | 38.4% | 87.5× | 32 | +512.1% |
| 2 | Düzce ÜniversitesiTürkiye | 51.2 | 38.1% | 190.7× | 48 | +317.3% |
| 3 | China Three Gorges UniversityChina | 49.7 | 69.6% | 35.9× | 12 | +388.4% |
| 4 | King Saud UniversitySaudi Arabia | 41.0 | 23.8% | 10.6× | 15 | +289.3% |
| 5 | University of SargodhaPakistan | 38.3 | 23.2% | 80.6× | 14 | +359.3% |
| 6 | University of JordanJordan | 31.7 | 33.8% | 34.2× | 13 | +56.5% |
| 7 | University of GuelmaAlgeria | 31.3 | 41.7% | 204.9× | 11 | — |
| 8 | Nanjing Normal UniversityChina | 29.7 | 47.9% | 18.2× | 10 | — |
| 9 | Victoria UniversityAustralia | 26.9 | 13.6% | 130.9× | 17 | +67.8% |
| 10 | King Faisal UniversitySaudi Arabia | 26.2 | 22.7% | 26.8× | 10 | — |
Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.
Is Mathematical Inequalities and Applications research growing?
Output in 2018–2022 was 32% higher than in 2013–2017, peaking in 2020. The fastest-growing topics are Mathematical Inequalities and Applications.
The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.
Which topics inside it are moving
Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.