Interpolation, Prekopa and Brunn-Minkowski for F-subharmonicity
Artikel i vetenskaplig tidskrift, 2024
We extend Prekopa's Theorem and the Brunn-Minkowski Theorem from convexity to F-subharmonicity. We apply this to the interpolation problem of convex functions and convex sets introducing a new notion of “harmonic interpolation” that we view as a generalization of Minkowski-addition.
Brunn-Minkowski
F-subharmonicity
Prekopa's theorem
Prekopa's inequality
Författare
Julius Ross
University of Illinois
David Witt Nyström
Chalmers, Matematiska vetenskaper, Algebra och geometri
Advances in Mathematics
0001-8708 (ISSN) 1090-2082 (eISSN)
Vol. 436 109405Ämneskategorier
Reglerteknik
Matematisk analys
DOI
10.1016/j.aim.2023.109405