An extension of the Fejér-Jackson inequality
An extension of the Fejér-Jackson inequality
Abstract Best-possible results are established for positivity of the partial sums of Σ sin k θ ( k + α) −1 . In fact odd sums are positive for −1 ≤ α ≤ α 0 = 2.1 …, while 2 k terms are positive on the subinterval ]0, π − …