I‐convexity and Q‐convexity in Orlicz–Bochner function spaces endowed with the Orlicz norm

Abstract

Some characterizations of I‐convexity and Q‐convexity of Banach space are obtained. Moreover, the criteria is shown for Orlicz–Bochner function spaces LMfalse(μ,Xfalse) endowed with the Orlicz norm being I‐convex as well as being Q‐convex.