Geodesic
On Approximation by Fejér Means to Periodic Functions Satisfying a Lipschitz Condition
Canadian mathematical bulletin, Tome 5 (1962) no. 1, pp. 21-27

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S. M. Nikolski [4, Theorem 1; cf. 3, esp. pp. 144 and 148] considered the remainder term in the approximation by the n-th Fejér mean, σn(x), to a function, f(x), of period 2π satisfying a Lipschitz condition of order α, 0<α≤1. In this connection, he introduced the quantity 1 where the maximum is taken over all x and the supremum is taken over all functions of period 2π, bounded by 1 (a notational convenience only) and satisfying a Laps chitz condition of order α. 
Lorch, Lee. On Approximation by Fejér Means to Periodic Functions Satisfying a Lipschitz Condition. Canadian mathematical bulletin, Tome 5 (1962) no. 1, pp. 21-27. doi: 10.4153/CMB-1962-004-3
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