Choczewski, Bogdan; Kominek, Zygfryd A proof of S. Rolewicz’s conjecture. (English) Zbl 1156.26304 Ann. Acad. Paedagog. Crac. 13, Stud. Math. 2, 5-11 (2002). Summary: S. Rolewicz’s conjecture concerning solutions of the functional-differential inequality\[ f(t)-f(s)-f'(s)(t-s)\geq f(t-s), \quad t,s\in\mathbb R, \tag{P} \]is proved. Cited in 1 Document MSC: 26D10 Inequalities involving derivatives and differential and integral operators 39B62 Functional inequalities, including subadditivity, convexity, etc. 34A40 Differential inequalities involving functions of a single real variable 52A01 Axiomatic and generalized convexity PDF BibTeX XML Cite \textit{B. Choczewski} and \textit{Z. Kominek}, Ann. Acad. Paedagog. Crac., Stud. Math. 13(2), 5--11 (2002; Zbl 1156.26304)