Concepedia

Quantitative Inverse Theorems

Quantitative Inverse Theorems is a theoretical framework in additive combinatorics that characterizes the structure of sets with small doubling or additive energy by providing explicit bounds on the size and dimension of approximate groups that contain such sets.

37

Publications

1.2K

Citations

46

Authors

30

Institutions

Publications per year

2017–2026

3

Parents

Publications

37

Direct and Inverse Approximation Theorems for the p-Version of the Finite Element Method in the Framework of Weighted Besov Spaces. Part I: Approximability of Functions in the Weighted Besov Spaces

Ivo Babuška, Benqi Guo · SIAM Journal on Numerical Analysis · 2002 · 105 citations

, , +13

A Quantitative Ergodic Theory Proof of Szemerédi's Theorem

Terence Tao · The Electronic Journal of Combinatorics · 2006 · 96 citations · Full text

, , +12

New additive results for the generalized Drazin inverse

Chunyuan Deng, Yimin Wei · Journal of Mathematical Analysis and Applications · 2010 · 60 citations

, , +8

Inverse and saturation theorems for radial basis function interpolation

Robert Schaback, Holger Wendland · Mathematics of Computation · 2001 · 57 citations · Full text

, , +15

A priori and a posteriori analysis of the quasinonlocal quasicontinuum method in 1D

Christoph Ortner · Mathematics of Computation · 2010 · 53 citations · Full text

, , +15

1–5 of 37

Authors

46

  1. DM
    Daniyal M. İsrafilov

    Balıkesir University, Türkiye

    3 publications · 62 citations

    3

    h-index

  2. DS
    Dragana S. Cvetković‐Ilić

    University of Nis, Serbia

    2 publications · 34 citations

    2

    h-index

  3. IB
    Ivo Babuška

    University of Maryland, College Park, United States

    2 publications · 141 citations

    2

    h-index

  4. TT
    Terence Tao

    University of California, Los Angeles, United States

    2 publications · 119 citations

    2

    h-index

  5. ZD
    Z. Ditzian

    University of Alberta, Canada

    2 publications · 74 citations

    2

    h-index

1–5 of 46

Institutions

30

  1. University of Nis

    Niš, Serbia

    3 h-index

    4 publications

    89 citations

  2. Texas A&M University

    College Station, United States

    2 h-index

    3 publications

    108 citations

  3. Balıkesir University

    Balıkesir, Türkiye

    2 h-index

    3 publications

    54 citations

  4. University of Manitoba

    Winnipeg, Canada

    2 h-index

    2 publications

    141 citations

  5. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    1 h-index

    1 publications

    25 citations

  6. Istituto di Scienza e Tecnologie dell'Informazione "Alessandro Faedo"

    Pisa, Italy

    1 h-index

    1 publications

    20 citations

  7. York University

    Toronto, Canada

    1 h-index

    1 publications

    26 citations

  8. University of California, Los Angeles

    Los Angeles, United States

    1 h-index

    1 publications

    96 citations

1–8 of 30

Venues

  1. Applied Mathematics and Computation

    3 publications · 72 citations

    3

    h-index

  2. Linear Algebra and its Applications

    3 publications · 62 citations

    3

    h-index

  3. Mathematics of Computation

    MCOM · 3 publications · 158 citations

    3

    h-index

  4. arXiv (Cornell University)

    Repository · 2 publications · 49 citations

    2

    h-index

  5. Constructive Approximation

    1 publications · 37 citations

    1

    h-index

1–5