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Let Z be the class of real-valued functions/(.x), defined and continuous on the closed interval / = [-1,1], such that/(-l) = /(l) = 0 and \m)-2/{(S + n)/2}+f(7,)\0-n\ for all £ and r\ in /. We show that w(/i) = /7log2{2e-A"/(/¡log2 e)} ¡s a modulus of continuity on Z, if K = sup/gZmaxv(E/|/(jc)|.

A modulus of continuity for a class of quasismooth functions