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Note on the first Cesàro mean of the derived conjugate series of Fourier series
hetf(t) be integrable L in (-ir, x) and periodic with period 2x and letThe conjugate series of (1.1) at t=x is CO CO(1.2) 2^1 (°n cos raz -a" sin ra*) = 2^L Bn(x).n-l 1Then the differentiated series of (1.2) is 00 CO CO(1.3) -2~1 n(<tn cos nx + 6» sin …