摘要:In the present paper, a new theorem on the degree of approximation of a function f ˜ , conjugate to a 2π periodic function f belonging to the Lipα ( 0 < α ≤ 1 ) class without the monotonicity condition on the generating sequence { p n } has been established, which in turn generalizes the results of Lal (Appl. Math. Comput. 209: 346-350, 2009) on a Fourier series. MSC:40G05, 41A10, 42B05, 42B08.
关键词:conjugate Fourier series ; Lip α ( 0 < α ≤ 1 ) class ; degree of approximation ; C 1 means ; N p means ; product summability C 1 ⋅ N p transform