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MR487423 46E35 (46M35)
Johnen, H.; Scherer, K. On the equivalence of the $K$-functional and moduli of continuity and some applications. Constructive theory of functions of several variables (Proc. Conf., Math. Res. Inst., Oberwolfach, 1976), pp. 119–140. Lecture Notes in Math., Vol. 571, Springer, Berlin, 1977.
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