Concepedia

Convexity Analysis

Convexity Analysis is a mathematical method in curvature analysis that characterizes the local or global convex properties of a function, surface, or domain by determining the sign and behavior of its second-order derivatives or curvature indicators, distinguishing it from other curvature-based methods by its specific focus on convexity and concavity.

778

Publications

40.4K

Citations

1.4K

Authors

715

Institutions

Publications per year

2017–2026

131

Parents

Publications

778

Dual methods for nonconvex spectrum optimization of multicarrier systems

Wei Yu, Raymond Lui · IEEE Transactions on Communications · 2006 · 1.6K citations

, , +15

Manifolds of negative curvature

Richard L. Bishop, Barrett O’Neill · Transactions of the American Mathematical Society · 1969 · 1.1K citations · Full text

, , +16

Combined Effects of Concave and Convex Nonlinearities in Some Elliptic Problems

Antonio Ambrosetti, Haïm Brézis, G. Cerami · Journal of Functional Analysis · 1994 · 1.1K citations

, , +11

Achieving Geometric Convergence for Distributed Optimization Over Time-Varying Graphs

Angelia Nedić, Alex Olshevsky, Wei Shi · SIAM Journal on Optimization · 2017 · 1K citations

, , +16

On the geometry of metric measure spaces

Karl‐Theodor Sturm · Acta Mathematica · 2006 · 831 citations · Full text

, , +15

1–5 of 778

Authors

1.4K

  1. ‎P
    ‎Josip Pečarić

    University of Zagreb, Croatia

    16 publications · 284 citations

    12

    h-index

  2. YC
    Yu‐Ming Chu

    Huzhou University, China

    8 publications · 317 citations

    8

    h-index

  3. XM
    Xi‐Nan Ma

    University of Science and Technology of China, China

    8 publications · 399 citations

    8

    h-index

  4. MK
    M. K. Vamanamurthy

    University of Auckland, New Zealand

    6 publications · 688 citations

    6

    h-index

  5. SS
    Sever S Dragomir

    Victoria University, Australia

    6 publications · 344 citations

    6

    h-index

1–5 of 1.4K

Institutions

715

  1. Centre National de la Recherche Scientifique

    Paris, France

    16 h-index

    28 publications

    1.4K citations

  2. University of California, Berkeley

    Berkeley, United States

    15 h-index

    21 publications

    1.2K citations

  3. Columbia University

    New York, United States

    11 h-index

    14 publications

    484 citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    11 h-index

    15 publications

    2.8K citations

  5. Laboratoire de Mathématiques Blaise Pascal

    Aubière, France

    8 h-index

    9 publications

    442 citations

  6. University of Science and Technology of China

    Hefei, China

    8 h-index

    12 publications

    294 citations

  7. University of Michigan

    Ann Arbor, United States

    7 h-index

    12 publications

    906 citations

  8. University of Zagreb

    Zagreb, Croatia

    7 h-index

    12 publications

    203 citations

1–8 of 715

Venues

  1. arXiv (Cornell University)

    Repository · 28 publications · 1.1K citations

    17

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 15 publications · 1.9K citations

    15

    h-index

  3. 15

    h-index

  4. Optimization

    13 publications · 611 citations

    12

    h-index

  5. SIAM Journal on Mathematical Analysis

    14 publications · 678 citations

    12

    h-index

1–5