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Trigonometric series with quasi-monotone coefficients

Trigonometric series with quasi-monotone coefficients

then x-yC(x) CL(0, r) if and only if (1.3) converges. G. Sunouchi proved Theorems B and C by a different method [7] and Aljancic, Bojanic and Tomic [1], and S. O'Shea [6] have extended these theorems in different directions. 2. Statement of results. A sequence (bn) of nonnegative numbers is …