The Rosenthal-Szasz inequality for normed planes

V. Balestro and H. Martini, The Rosenthal-Szasz inequality for normed planes, Bulletin of the Australian Mathematical Society 99, pp. 130-136, 2018. (arXiv link) (journal link)

Comments: In this short note we prove the Rosenthal-Szasz inequality for Radon planes. We use methods from the differential geometry of curves in normed planes. Also, we discuss the general case, proving a weaker inequality (which, however, is enough to obtain the Barbier’s theorem).