Basic Fourier series: convergence on and outside the q-linear grid

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112963A q-type Holder condition on a function f is given in order to establish (uniform) convergence of the corresponding basic Fourier series S_q[f] to the function itself, on the set of points of the q-linear grid. Furthermore, by adding others conditions, one guaranties the (uniform) convergence of S_q[f] to f on and "outside" the set points of the q-linear grid.16 pagesGeneral Mathematics33D15, 42C10Basic Fourier series: convergence on and outside the q-linear gridtext