Concepedia

Jensen's Inequality

Jensen's Inequality is a fundamental theorem in probability theory stating that, for a convex function, the expected value of the function of a random variable is at least the function of the expected value of the random variable, with the inequality reversed for concave functions.

585

Publications

25.4K

Citations

861

Authors

466

Institutions

Publications per year

2017–2026

144

Variants

Jensen Inequality

Parents

Publications

585

Log-concave probability and its applications

Mark Bagnoli, Ted Bergstrom · Economic Theory · 2004 · 1.1K citations

, , +9

Distribution Function Inequalities for Martingales

D. L. Burkholder · The Annals of Probability · 1973 · 828 citations · Full text

, , +12

On Divergences and Informations in Statistics and Information Theory

Friedrich Liese, Igor Vajda · IEEE Transactions on Information Theory · 2006 · 603 citations

, , +13

On Inequalities in the Theory of Functions

J. E. Littlewood · Proceedings of the London Mathematical Society · 1925 · 474 citations

, , +8

Best constants in Young's inequality, its converse, and its generalization to more than three functions

H. J. Brascamp, Élliott H. Lieb · Advances in Mathematics · 1976 · 419 citations

, , +5

1–5 of 585

Authors

861

  1. ‎P
    ‎Josip Pečarić

    University of Zagreb, Croatia

    69 publications · 1.7K citations

    23

    h-index

  2. SS
    Sever S Dragomir

    Victoria University, Australia

    31 publications · 1.1K citations

    21

    h-index

  3. MA
    Muhammad Adil Khan

    University of Peshawar, Pakistan

    30 publications · 887 citations

    19

    h-index

  4. YC
    Yu‐Ming Chu

    Huzhou University, China

    17 publications · 751 citations

    14

    h-index

  5. SI
    Saad Ihsan Butt

    COMSATS University Islamabad, Pakistan

    13 publications · 405 citations

    13

    h-index

1–5 of 861

Institutions

466

  1. COMSATS University Islamabad

    Islamabad, Pakistan

    18 h-index

    45 publications

    1.3K citations

  2. University of Peshawar

    Peshawar, Pakistan

    18 h-index

    48 publications

    1.5K citations

  3. University of Zagreb

    Zagreb, Croatia

    16 h-index

    46 publications

    1.3K citations

  4. Huzhou University

    Huzhou, China

    14 h-index

    19 publications

    760 citations

  5. Victoria University

    Melbourne, Australia

    14 h-index

    22 publications

    781 citations

  6. Government College University, Lahore

    Lahore, Pakistan

    13 h-index

    30 publications

    623 citations

  7. University of Split

    Split, Croatia

    11 h-index

    17 publications

    528 citations

  8. King Abdulaziz University

    Jeddah, Saudi Arabia

    11 h-index

    14 publications

    336 citations

1–8 of 466

Venues

  1. Journal of Inequalities and Applications

    41 publications · 1.4K citations

    19

    h-index

  2. 16

    h-index

  3. Journal of Mathematical Inequalities

    JMI · 24 publications · 507 citations

    14

    h-index

  4. Mathematical Inequalities & Applications

    MIA · 15 publications · 428 citations

    14

    h-index

  5. Mathematics

    11 publications · 321 citations

    11

    h-index

1–5