On strong $(α,\F)$-convexity

Judit Makó, Kazimierz Nikodem, Zsolt Páles

In this paper, strongly $(\alpha ,T)$-convex functions, i.e., functions $f:D\to \mathbb{R}$ satisfying the functional inequality $$ f(tx+(1-t)y)\leq tf(x)+(1-t)f(y)-tα\big((1-t)(x-y)\big)-(1-t)α…