Concepedia

Minkowski Inequality

The Minkowski Inequality is a fundamental inequality in mathematical analysis and probability theory that establishes an upper bound on the norm of the sum of two random variables in terms of the sums of their individual norms, generalizing the triangle inequality to Lp spaces for p ≥ 1.

285

Publications

14.2K

Citations

415

Authors

264

Institutions

Publications per year

2017–2026

77

Variants

Minkowski's Inequality

Parents

Publications

285

The Brunn-Minkowski inequality

Richard J. Gardner · Bulletin of the American Mathematical Society · 2002 · 931 citations · Full text

, , +8

The Brunn-Minkowski inequality in Gauss space

Christer Borell · Inventiones mathematicae · 1975 · 725 citations

, , +8

Shades of Gray and Colour Constancy

Graham D. Finlayson, Elisabetta Trezzi · Color and Imaging Conference · 2004 · 614 citations · Full text

, , +15

Dual mixed volumes

Erwin Lutwak · Pacific Journal of Mathematics · 1975 · 377 citations · Full text

, , +9

Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory

Kiumars Kaveh, Askold Khovanskiĭ · Annals of Mathematics · 2012 · 347 citations · Full text

, , +10

1–5 of 285

Authors

415

  1. AC
    Andrea Colesanti

    University of Florence, Italy

    9 publications · 478 citations

    9

    h-index

  2. GL
    Gangsong Leng

    Shanghai University, China

    7 publications · 333 citations

    7

    h-index

  3. EL
    Erwin Lutwak

    SUNY Polytechnic Institute, United States

    7 publications · 990 citations

    7

    h-index

  4. EM
    Emanuel Milman

    Technion – Israel Institute of Technology, Israel

    6 publications · 192 citations

    6

    h-index

  5. RJ
    Richard J. Gardner

    Western Washington University, United States

    6 publications · 1.2K citations

    6

    h-index

1–5 of 415

Institutions

264

  1. University of Florence

    Florence, Italy

    9 h-index

    11 publications

    748 citations

  2. Shanghai University

    Shanghai, China

    9 h-index

    14 publications

    790 citations

  3. Tel Aviv University

    Tel Aviv, Israel

    7 h-index

    10 publications

    243 citations

  4. Huzhou University

    Huzhou, China

    7 h-index

    7 publications

    581 citations

  5. Xiamen University

    Xiamen, China

    6 h-index

    8 publications

    202 citations

  6. Western Washington University

    Bellingham, United States

    6 h-index

    7 publications

    1.2K citations

  7. TU Wien

    Vienna, Austria

    5 h-index

    6 publications

    493 citations

  8. Liceo scientifico statale Ulisse Dini

    Pisa, Italy

    5 h-index

    7 publications

    358 citations

1–8 of 264

Venues

  1. Advances in Mathematics

    18 publications · 1K citations

    16

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 13 publications · 627 citations

    12

    h-index

  3. Geometriae Dedicata

    9 publications · 258 citations

    10

    h-index

  4. arXiv (Cornell University)

    Repository · 10 publications · 280 citations

    10

    h-index

  5. Journal of Inequalities and Applications

    9 publications · 301 citations

    9

    h-index

1–5