Concepedia

Interpolation Inequalities

Interpolation Inequalities is a type of mathematical inequality in probability theory that characterizes the bounding of intermediate functional norms or moments between two distinct spaces or distributions by a weighted combination of corresponding bounds in those spaces, distinguished by its use of interpolation techniques to derive probabilistic or analytic estimates under varying regularity or integrability conditions.

316

Publications

17.3K

Citations

446

Authors

294

Institutions

Publications per year

2017–2026

41

Parents

Publications

316

Three-manifolds with positive Ricci curvature

Richard S. Hamilton · Journal of Differential Geometry · 1982 · 3K citations · Full text

, , +17

First order interpolation inequalities with weights

Luis Caffarelli, Robert V. Kohn, Louis Nirenberg · French digital mathematics library (Numdam) · 1984 · 949 citations

, , +4

Necessary density conditions for sampling and interpolation of certain entire functions

H. J. Landau · Acta Mathematica · 1967 · 872 citations · Full text

, , +8

Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory

Armin Uhlmann · Communications in Mathematical Physics · 1977 · 436 citations

, , +10

Generalized Interpolation in H ∞

Donald Sarason · Transactions of the American Mathematical Society · 1967 · 380 citations

, , +5

1–5 of 316

Authors

446

  1. JD
    Jean Dolbeault

    Université Paris Dauphine-PSL, France

    14 publications · 385 citations

    13

    h-index

  2. MJ
    Maria J. Esteban

    Université Paris Dauphine-PSL, France

    6 publications · 177 citations

    6

    h-index

  3. LB
    Len Bos

    University of Calgary, Canada

    5 publications · 237 citations

    5

    h-index

  4. SD
    Stefano De Marchı

    University of Padua, Italy

    5 publications · 181 citations

    5

    h-index

  5. ML
    Michael Loss

    Georgia Institute of Technology, United States

    5 publications · 142 citations

    5

    h-index

1–5 of 446

Institutions

294

  1. Centre National de la Recherche Scientifique

    Paris, France

    15 h-index

    29 publications

    1.2K citations

  2. Université Paris Dauphine-PSL

    Paris, France

    13 h-index

    28 publications

    834 citations

  3. Texas A&M University

    College Station, United States

    9 h-index

    13 publications

    686 citations

  4. Centre de Recherche en Mathématiques de la Décision

    Paris, France

    8 h-index

    14 publications

    400 citations

  5. Georgia Institute of Technology

    Atlanta, United States

    7 h-index

    10 publications

    340 citations

  6. University of Padua

    Padua, Italy

    7 h-index

    9 publications

    265 citations

  7. Sorbonne Université

    Paris, France

    7 h-index

    8 publications

    531 citations

  8. National University of Singapore

    Singapore, Singapore

    6 h-index

    8 publications

    110 citations

1–8 of 294

Venues

  1. Journal of Approximation Theory

    19 publications · 456 citations

    13

    h-index

  2. Proceedings of the American Mathematical Society

    PROC · 13 publications · 982 citations

    11

    h-index

  3. Journal of Functional Analysis

    12 publications · 327 citations

    11

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 9 publications · 741 citations

    9

    h-index

  5. Pacific Journal of Mathematics

    8 publications · 487 citations

    8

    h-index

1–5