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The Summation of the Integral Conjugate to the Fourier Integral of the Finite Type and Of the Conjugate Series
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The integral conjugate to the Denjoy-Fourier Integral of the finite type [7] is
∫(bs cos sx-as sin sx)ds, (1)
where
as = 1/π∫f(t) cos st dt, bs = 1/π∫f(t) sin st dt, (2)
and f (x) is supposed to be integrable-D in (-π, π) and to be zero outside this interval.
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