Approximation Theory and Sequence Spaces
Approximation Theory and Sequence Spaces is a research topic within Statistics and Probability. Science Explorer counts 12k research works in it since 1950. 8.7% of them reached the world's top 10% most cited for their field and year.
This cluster of papers explores statistical convergence in approximation theory, functional analysis, and sequence spaces. It covers topics such as approximation theorems, double sequences, Bernstein polynomials, ideal convergence, and summability methods. The research also delves into applications in Orlicz spaces and Kantorovich operators.
- Statistical Convergence
- Approximation Theorems
- Double Sequences
- Bernstein Polynomials
- Sequence Spaces
- Ideal Convergence
- Summability Methods
- Kantorovich Operators
- Orlicz Spaces
- Functional Analysis
- Research works
- 12k fractional, since 1950
- In the world top 10%
- 1k per year above
- Top-10% rate
- 8.7% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- +10% the tick is no change
Which countries lead Approximation Theory and Sequence Spaces research?
By volume, India and Türkiye publish the most (310 and 290 works in 2022–2025).
By volume, 2022–2025
- 1 India 310 works
- 2 Türkiye 290 works
- 3 China 105 works
- 4 Russia 79 works
- 5 United States 79 works
- 6 Spain 50 works
- 7 Iraq 50 works
- 8 Saudi Arabia 42 works
- 9 Romania 40 works
- 10 Poland 39 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 Approximation Theory and Sequence Spaces research?
By volume in 2022–2025, Tripura University publishes the most Approximation Theory and Sequence Spaces research, followed by Aligarh Muslim University and Chandigarh University.
By volume, 2022–2025
- 1 Tripura UniversityIndia 22 works
- 2 Aligarh Muslim UniversityIndia 16 works
- 3 Chandigarh UniversityIndia 15 works
- 4 Netaji Subhas University of TechnologyIndia 15 works
- 5 Lomonosov Moscow State UniversityRussia 14 works
- 6 Bartin UniversityTürkiye 13 works
- 7 Gazi UniversityTürkiye 12 works
- 8 Fırat UniversityTürkiye 11 works
- 9 Gauhati UniversityIndia 11 works
- 10 University of PrishtinaKosovo 10 works
Who are the leading researchers in Approximation Theory and Sequence Spaces?
The most-cited researchers publishing on Approximation Theory and Sequence Spaces include Gian‐Carlo Rota and Jean Bourgain.
- 1 Gian‐Carlo Rota United States 1.8k citations
- 2 Jean Bourgain United States 1.4k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Approximation Theory and Sequence Spaces research done?
The largest centres of Approximation Theory and Sequence Spaces research in 2022–2025 are Ankara (Türkiye), Moscow (Russia), New Delhi (India) and Agartala (India). Among places with at least 20 works in it, it is an unusually large share of all research in Agartala.
Largest cities, 2022–2025
Where it is the local speciality
- AgartalaIN · 24.2 works122×
Location quotient: how much more of its research is in Approximation Theory and Sequence Spaces than the world average.
Where is the best place to study Approximation Theory and Sequence Spaces?
Among universities, judged by research, University of Perugia, Tripura University and Düzce Üniversitesi 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 | University of PerugiaItaly | 65.2 | 43.2% | 27.4× | 9 | -1.4% |
| 2 | Tripura UniversityIndia | 64.5 | 4.6% | 320.8× | 22 | +1202.8% |
| 3 | Düzce ÜniversitesiTürkiye | 63.2 | 31.6% | 31.9× | 8 | +918.2% |
| 4 | Chandigarh UniversityIndia | 59.2 | 20.2% | 16.6× | 15 | — |
| 5 | Netaji Subhas University of TechnologyIndia | 58.2 | 28.1% | 88.0× | 15 | -12.0% |
| 6 | Gazi UniversityTürkiye | 57.8 | 20.3% | 25.1× | 12 | +97.6% |
| 7 | Aligarh Muslim UniversityIndia | 57.4 | 18.1% | 37.0× | 16 | +3.5% |
| 8 | China Medical UniversityTaiwan | 56.9 | 22.9% | 35.5× | 8 | — |
| 9 | Sinop UniversityTürkiye | 54.6 | 31.1% | 82.6× | 9 | +43.6% |
| 10 | University of PrishtinaKosovo | 54.0 | 16.8% | 66.0× | 10 | +76.7% |
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 Approximation Theory and Sequence Spaces research growing?
Output in 2018–2022 was 10% higher than in 2013–2017, peaking in 2025. The fastest-growing topics are Approximation Theory and Sequence Spaces.
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.