On the normalizing multiplier of the generalized Jackson kernel (Q881048)

The authors of the paper under review study the normalizing coefficients \[ \gamma_{n,k}=\frac1\pi \int_{-\pi}^\pi \left(\frac{\sin\frac{nt}2}{\sin\frac t2}\right) ^{2k}dt \] of the generalized Jackson kernel \(J_{n,k}\). They obtain explicit formulas for \(\gamma_{n,k}\).