Fejér's theorem
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In mathematics, Fejér's theorem,[1][2] named after Hungarian mathematician Lipót Fejér, states the following:[3]
Fejér's Theorem — Let be a continuous function with period , let be the nth partial sum of the Fourier series of , and let be the sequence of Cesàro means of the sequence , that is the sequence of arithmetic means of . Then the sequence converges uniformly to on as n tends to infinity.