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A note on a functional inequality

A note on a functional inequality

In this paper we will consider the functional inequalitieswhere the functions u, f, g and h are nonnegative and continuous on the interval [a, b].The function G(u) is continuous and strictly increasing for ra^O, G(0)=0, lim,,..,, G(u)= oo and G_1 denotes the inverse function of G.If G(u) =u, we have …