Abstract
We consider the convergence of Fourier series in the norm of Orlicz spaces narrower than . It is shown that if a continuous function has a non-summable derivative, then its Fourier series is not necessarily convergent in the norm of these Orlicz spaces. We find a condition on a bounded function under which the Fourier series of is convergent in the norm of an Orlicz space and estimate the accuracy of this result.
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