Concepedia

Convex Conjugates

Convex Conjugates is a fundamental transformation in convex analysis that, given an extended real-valued function, assigns to it its supremum-based dual representation over linear perturbations, thereby generalizing the notion of a dual function in optimization.

27

Publications

2.7K

Citations

43

Authors

29

Institutions

Publications per year

2017–2026

4

Variants

Fenchel ConjugatesFenchel-legendre Transforms

Parents

Publications

27

Conjugate convex functions in optimal stochastic control

Jean‐Michel Bismut · Journal of Mathematical Analysis and Applications · 1973 · 729 citations

, , +12

Integrals which are convex functionals

R. T. Rockafellar · Pacific Journal of Mathematics · 1968 · 530 citations · Full text

, , +8

Dynamic Monetary Risk Measures for Bounded Discrete-Time Processes

Patrick Cheridito, Freddy Delbaen, Michael Kupper · Electronic Journal of Probability · 2006 · 352 citations · Full text

, , +15

Conjugate convex functions in optimal control and the calculus of variations

R. T. Rockafellar · Journal of Mathematical Analysis and Applications · 1970 · 231 citations

, , +13

Existence and duality theorems for convex problems of Bolza

R. T. Rockafellar · Transactions of the American Mathematical Society · 1971 · 144 citations · Full text

, , +14

1–5 of 27

Authors

43

  1. RT
    R. T. Rockafellar

    University of Washington, United States

    4 publications · 918 citations

    4

    h-index

  2. ZL
    Zongli Lin

    University of Virginia, United States

    2 publications · 112 citations

    2

    h-index

  3. MD
    M. D. Fajardo

    University of Alicante, Spain

    2 publications · 35 citations

    2

    h-index

  4. TH
    Tingshu Hu

    University of Virginia, United States

    2 publications · 112 citations

    2

    h-index

  5. AR
    Andrew R. Teel

    University of California, Santa Barbara, United States

    2 publications · 112 citations

    2

    h-index

1–5 of 43

Institutions

29

  1. University of California, Santa Barbara

    Santa Barbara, United States

    2 h-index

    5 publications

    254 citations

  2. University of Alicante

    Alicante, Spain

    2 h-index

    2 publications

    35 citations

  3. University of Washington

    Seattle, United States

    2 h-index

    3 publications

    253 citations

  4. University of Virginia

    Charlottesville, United States

    2 h-index

    2 publications

    112 citations

  5. Wayne State University

    Detroit, United States

    1 h-index

    1 publications

    41 citations

  6. ETH Zurich

    Zurich, Switzerland

    1 h-index

    2 publications

    704 citations

  7. Russian New University

    Moscow, Russia

    1 h-index

    1 publications

    41 citations

  8. Institute of Biochemistry

    Bucharest, Romania

    1 h-index

    1 publications

    61 citations

1–8 of 29

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 3 publications · 172 citations

    3

    h-index

  2. Optimization

    2 publications · 35 citations

    2

    h-index

  3. 2

    h-index

  4. IEEE Transactions on Automatic Control

    1 publications · 82 citations

    1

    h-index

  5. Mathematics of Operations Research

    1 publications · 38 citations

    1

    h-index

1–5