In this paper we prove a theorem on absolute generalized Cesare summability with index k, k being real, of a Fourier series. Our result generalizes results ofBosanqute. Jena and Abid.

• 当k为实数时，本文证明了Fourier级数关于具有指数k的绝对广义Cesaro可和的定理，本文结果推广了Bosanquet，Jena及Abid的成果