We know the geometric representation of the convex functions. Is there anyone who has written something of this topic for functions, for example, m-convex, h-convex, etc?
This is an excellent question. I wish I had thought of it.
A good place to start in considering geometric properties of generalized convex functions is
geodesy:
https://www.researchgate.net/publication/282160303_On_geodesic_strongly_E-convex_sets_and_geodesic_strongly_E-convex_functions
Jensen’s inequality:
http://www.scielo.org.co/pdf/rcm/v50n2/v50n2a02.pdf
See, also:
https://www.researchgate.net/publication/316505661_Generalized_Convex_Functions_and_Their_Applications
Article On geodesic strongly E-convex sets and geodesic strongly E-c...
Article Generalized Convex Functions and Their Applications
Thank you very much Mr. Peters. I knew you could help me.
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