REAL ANALYSIS EXCHANGE, vol.47, no.1, pp.103-120, 2022 (ESCI)
Article / Article
REAL ANALYSIS EXCHANGE
Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, MathSciNet, Public Affairs Index, zbMATH, DIALNET
generalized convexity, differential inequality, Alexandrov geometry
Anadolu University Affiliated:
We give an elementary framework of generalized convexity in terms of comparison of a given function with reference functions from a chosen set. As important examples we consider reference sets used in Alexandrov geometry and give simple proofs for the characterization of generalized convexity in form of differential inequalities.