Abstract
1. It is known that the (C, a) continuity of a function is not sufficient for the (C, a) sumnmability of its Fourier series at a point. Many sufficient conditions for (C, a) summability of a Fourier series were found by many authors.' The object of this note is also to find a sufficient condition which arises from a convergence criterion for Fourier series recently proved by the author.2 Let +(t) be an even integrable periodic function with period 2ir and its Fourier series be
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