TY - JOUR AU - Izumi, Masako AU - Izumi, Shin-ichi PY - 1968/06/01 Y2 - 2024/03/29 TI - Some Convergence Criteria for Fourier Series JF - The Journal of the Indian Mathematical Society JA - JIMS VL - 32 IS - 1-2 SE - Articles DO - 10.18311/jims/1968/16781 UR - https://informaticsjournals.com/index.php/jims/article/view/16781 SP - 355-379 AB - <p>Theorem 1. The Fourier series of an even function φ converges to zero at the origin if Φ<sub>1</sub>(t) = o(t)=o(t) as t → 0 and further if, for any n, there are</p><p>m = m(n) &gt; n and m' = m'(n) &lt; n</p> ER -