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On the logarithmic mean of the derived conjugate series of a Fourier series

On the logarithmic mean of the derived conjugate series of a Fourier series

n k (j) +1 2 E (log I n |Cn 2 < Ek(,) log nk(t)+1 < 2D,. In I nk (A)+' We choose the corresponding Fourier coefficients to define as before a new function g(x), whose Fourier series converges almost everywhere since E .. 1D,, < co. Now we define …