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MR1654072 (2000c:41051) 41A65 (33C45 42C10 46M35 46N40)
Trebels, Walter Equivalence of a $K$-functional with the approximation behavior of some linear means for abstract Fourier series. Proc. Amer. Math. Soc. 127 (1999), no. 10, 2883–2887.
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