On the degree of convergence of Laplace’s series
On the degree of convergence of Laplace’s series
t Lebesgue first showed the fundamental importance of the corresponding constants for Fourier's series; see Lésons sur les series trigonométriques, Paris, 1906, § 45. t Jackson shows (1.c., pp.306-309) that the corresponding maximum for Legendre's series in the interval ( 6) is inferior to a constant multiple of log n …